Questions on Algebra: Trigonometry answered by real tutors!

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Question 198281: I am having a very hard time will sin and cos problems. Here is one that I can't solve: sin%282x-pi%2F3%29=1%2F2.I don't even know how to start because I haven't had any training in cos and sin problems yet. I just know that this problem will have four answers. If you have any advice on the cos and sin problems I would love to hear it. Thank you!
Click here to see answer by RAY100(1637) About Me 

Question 198197: A circular race track has a diameter of 1200 meters. A car makes 4 revolutions in 6 minutes. Approximately how many meters does the car travel in one minute? Round to the nearest meter.
Click here to see answer by arallie(162) About Me 

Question 198107: solve: 3 tan(x/2) +3
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Question 198048: [IMG]http://i717.photobucket.com/albums/ww176/kprox1994/geo.jpg[/IMG]
please help!

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Question 198314: The tangent of p is -1/radical 3 and the secant of p is -2/ radical 3. What is the sine of p?
Click here to see answer by stanbon(57307) About Me 

Question 198326: PROBLEM:
The Vang family has a backyard with the dimensions of 35ft, 75ft, 90ft. They want to plant small trees that require 9 square feet of surface area each. How many should they plant? Round your answer to the nearest whole tree.





Click here to see answer by checkley77(12569) About Me 

Question 198230: OK..well, im working on a lesson of where I am learning how to graph sin, and cos by finding the amplitude, period, x-intercepts, and phase shift. can you help me undersrtand what they mean by graphing it because i don't really know how to...example: y= -3cos(x+pi/4)
Click here to see answer by Alan3354(30993) About Me 

Question 197669: Find the exact value of the expression
tan 195 degrees

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Question 198049: Find the value of the five other trig functions, given sinx=square root -2/2 and cosx<0 also give degree and radian measure of x
Click here to see answer by Edwin McCravy(8908) About Me 

Question 198447: 1-(2sin(22.5)^2)

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Question 195591: A soccer ball is kicked straight up with an initial velocity of 32 ft. per second. Its height above the earth is given by s (t) = -16t2 + 32t, where,‘s’ is the height in ft. at any time, ‘t’ seconds.
a What is the maximum height reached by the ball?
b How long after it was thrown up the ball reaches its maximum height?

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Question 195575: Using tanθ = sinθ/cosθ, prove the addition formula for tangent,
tan(A + B) = (tan A + tan B) / (1 - tan A × tan B)

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Question 198569: If cosθ=0.8 and 270<θ <360, find the exact value of sin2θ
a. -0.96
b. -0.6
c. 0.96
d. 0.28
Is it A?

Click here to see answer by jim_thompson5910(28555) About Me 

Question 198570: Which expression is NOT equivalent to cos2θ ?
a. cos² θ -sin² θ
b. 2cos² θ -1
c. 1-2sin² θ
d. 2sinθ cosθ
Is it D?

Click here to see answer by jim_thompson5910(28555) About Me 

Question 198688: Hello! My name is Aeriin yanu and I am having troubles with proving trigonometric identity. I just learned the lesson today and I don't really understand the lesson. Can you show me how you can solve a trigonometric identity?
ex:
sin square root of 2 phata+ sin square root of 2 phata cotangentsquare root of 2 phata= 1

Click here to see answer by jim_thompson5910(28555) About Me 

Question 198723:
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Question 198725: I have a right triangle. |> (just like that, the 90 degree angle is in the lower left, and the hypotenuse runs diagonally from top to bottom on the right side). The left leg measures 4x, and the bottom leg measures x. I have to find the hypotenuse. I was able to find the angles using trigonometry. The upper left angle measures 14. The lower right angle measures 76. The lower left angle measures 90. I did all the work I can think of, but I still can't find the hypotenuse. Please help!
Click here to see answer by Alan3354(30993) About Me 

Question 198738: Can anyone help please
Given a cost function C(x)=600 square root symbol x^3+2 and a revenue function R(x)=500 square root symbol x^2+3, find the marginal profit function

thanks

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Question 198700: I need help to rewrite each expression in terms of cos phata. Then simplify.
1. 2sin phata cos phata cot phata.
2. 1 + cot phata divided by cot phata ( sin phata+ cos phata)
3. cos square root of 4 phata - sin square root of 4 phata + sin squareroot of 2 phata.

Click here to see answer by Edwin McCravy(8908) About Me 

Question 198857: Can someone give me the steps on how to graph y= sin x? Thank you!
Click here to see answer by jim_thompson5910(28555) About Me 

Question 199116: 1. Define exponential function.
2. Give 3 examples.

Click here to see answer by Alan3354(30993) About Me 

Question 199182: How do you graph the equation g(x)=-3/4sin(x+pie/2) by finding the amplitude, period, phase shift and vertical shift?
sorry I don't know how to put the pie symbol in.

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Question 199202:
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Question 199223: y=sqrt3x-5 a function
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Question 199231: Given triangle ABC with b=6 c=9 and A=146, what is the length of a?
Click here to see answer by RAY100(1637) About Me 

Question 199298: prove each identity, SHOW WORK
a. cos(2(3.14)-A)=cos A
b. sin((3(3.14)/2)-A)=-cosA
c. use the identity for sin(A+B) to prove the identity sin2A=2sinAcosA

Click here to see answer by jim_thompson5910(28555) About Me 

Question 199454: Find all value of t in interval [0,2pie]
satisfying cos t/4=radical 3/2

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Question 199538: do you know how to draw an angle with the given measures in standard positions? if the number the give me is -420 degrees?
Click here to see answer by Edwin McCravy(8908) About Me 

Question 199537: prove this trig identity (5 marks):
tanx-1 = (sin^2x-cos^2x)/(sinxcosx+cos^2x)
I've wasted a good 8 pages trying to work this out haha. thanks in advance!

Click here to see answer by jim_thompson5910(28555) About Me 

Question 199577: prove this identity (5 marks):
sin(x) + sin(x)cot(x)^2 = csc(x)
thanks in advance!

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Question 199720: Can someone please help me with this:
Use the Gauss-Jordan method to solve the system of equations.
4x - 6y = 54
20x - 30y = 270
a. (9,-3)
b. (27/2 - 3/2y, y)
c. (27/2 + 3/2y, y)

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Question 200021: 1. Is a degree measure larger than a radian measure?
2. If the radius of a circle is increased and the measure of a central angle is held constant, what happens to the length of the intercepted arc?

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Question 200022: If it takes 25 years for one generation to beget the next, what is the greatest possible number of male forebears living in 1100 A.D. from which a child born in 1950 could claim descent?
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Question 200293: This is about vectors, tangent,and direction.
Can someone show me the steps to using tangent to find the directions?
Heres a problem, and the book i have skips some steps(assuming you can figure the steps out on your own, i guess)
1) A pilot flys due north at 250 miles per hour. If the wind is blowing due east at 20 mph what is the direction of the plane?
(Heres what they show for how to get the answer)
tan0=20/250
0=tan^-1(20/250)
0=4.6
They only show three steps and i dont know how they go from 0=^tan-1(20/250) to 0=4.6?????
because 20/250=.08 and so if you tan^-1 (.08) you get about .079, which isnt close to 4.6

Please explain to me what they do to get a tan^-1(20/250) to 4.6

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Question 200332: how to solve 3x-2x+5
Click here to see answer by tutorcecilia(2152) About Me 

Question 200375: All angles are in radians and I have to choose which of the following 2 statements are true:
The y-intercept of the graph of y = sin x is 1
The y-intercept of the graph of y = tan x is 1
I have looked through all paperwork I have and can't find a direct source for this. I have also created the graphs on a graphic calculator but can only see that the y-intercept for both is 0, I'm obviously doing something wrong.
Thank you in advance for your help

Click here to see answer by Alan3354(30993) About Me 

Question 200583: What is the minimum nd maximum value of sin x ?
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Question 200557: Hi,
I'm not sure if I'm doing this right, here's the question in its entirety:
The 8-in(diameter) Howitzer on the U.S. Army's M110 can propel a projectile a distance of 18,500yd. If the angle of elevation of the barrel is 45 degrees, then what muzzle velocity (in feet per second) is required to achieve this distance?
I'm using the formula: Vo2 sin 2(theta) = 32(distance). I've converted the 18,500yd to 55,500 feet. I don't see a use for the 8-in diameter value.
step 1: Vo2 sin(90) = 32(55,5000
step 2: Vo2 * 1 = 1,776,000
step 3: Vo2 = 1,776,000
step 4: Vo = 1,333 feet/sec
I don't know if I'm using the formula correctly or not. Any help would be gratefully received.
Thanking you in advance, Lynn

Click here to see answer by Alan3354(30993) About Me 

Question 200879: A 5 foot tall boy casts an 11 foot chadow. The boy is standing 30 feet from a tree. How tall is the tree?
Click here to see answer by Alan3354(30993) About Me 

Question 201357: I'm taking a practice test for the SAT II Subject Test in Math Level IC and there are all these questions about adding and subtracting sin, cos, tan, cos, sec, and cot which I have never learned. (I've taken Algebra I, Geometry, and Algebra II).
I know we're not supposed to ask about more than one problem in one question, but... here are the questions that I have no idea how to solve:
19. -cos^2 θ - 9sin^2 θ =
A. 0 B. 1 C. -1 D. 9 E. -9
34. If tan 10° = cot θ, then θ =
A. 10° B. 80° C. 70° D. -10° E. 90°
and
36. If cos (45+2x)° = sin (3x)°, then x=
A. 18° B. 27° C. 45° D. 22.5° E. 9°
Thanks for any help, even if you just help me with one of them!

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Question 201802: Use either long or synthetic division to divide 4x^3-7x+6 by x+2. Indicate the quotient and remainder.
Click here to see answer by RAY100(1637) About Me 

Question 202258: please help me with this problem
1.) a plane left C and flew in the direction 270degrees for 3hrs. at 279mph and landed at B. a second plane flew from C in the direction 222degrees30minutes for 4hrs. and landed at A. If A is due south of B, find the distance between the two points and the average speed of the second plane.

kindly please give me
some tips on how to
answer this easily..
thanks a lot..

Click here to see answer by ankor@dixie-net.com(15649) About Me 

Question 202580: Select any imaginary number (of the form "a + bi" where a and b are non-zero real numbers), and turn it into a real number by using addition, subtraction, multiplication, division or exponentiation?
Did I do this correct: 2i = 2i * 2i = 2; (2i)^2 = 2i * 2i = 2 * 2 * i^2 = 4(-1) = -4

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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540