Questions on Algebra: Trigonometry answered by real tutors!

Tutors Answer Your Questions about Trigonometry-basics (FREE)

Question 140510: find the area of a triangle with sides of length 9 and 24 and included angle 12degrees. Round to the nearest tenth.
I have 22.5, but I believe I did this wrong since I seen an example using trig functions, can someone please help.
Click here to see answer by stanbon(57953)

Question 140504: find the values of the trigonometric functions of theta from the information given. tan theta =6, sin theta >0.
a)sin theta_____ b)cos theta____c)csc theta__ d)sec theta__ e)cot theta__
Click here to see answer by stanbon(57953)

Question 140509: I need to find angles and sides for this right triangle but I dont know how and cant find any examples anywhere to help(I don't know how because of angle A)
Find side a and b given in two decimal place and find Angle A is Pi/10 and side c is 43.8
Please help.
Click here to see answer by Fombitz(13828)

Question 140791: Add or subtract the fractions then simplify using the Pythagorean identities and factoring to find the expression that completes the identity.
sinx/(cosx+1) + (cosx+1)/sin x
Please show me the steps. Thank you!
Click here to see answer by solver91311(17072)

Question 140797: Find the exact value of the expression
cos(pi/12)cos(3pi/4) - sin(pi/12)sin(3pi/4)

I appreciate your help!
Click here to see answer by edjones(7569)

Question 140847: Verify the identity.
(cos(x) - cos(y))/(sin(x) + sin(y)) + (sin(x) - sin(y))/(cos(x) + cos(y)) = 0
Click here to see answer by solver91311(17072)

Question 141210: How many solutions does cosecant squared of x = 25 have? How do you find it?
Click here to see answer by stanbon(57953)

Question 141297: Solve the triangle using Law of sines or cosines.
A=42(angle A)
b=120 (side b)
c=160 (side c)
Click here to see answer by Edwin McCravy(8999)

Question 141714: A point P having coordinates (-0.6561,-0.7547), lies on the terminal arm of an angle theta in standard position on a unit circle. Sketch this situation and determine the value of theta in degrees.
Click here to see answer by stanbon(57953)

Question 141712: A circle centered at the origin has a radius of 6sqrt2. If the point(6sqrt2,0) is rotated 45 degrees clockwise, determine the coordinates of the new point.
Click here to see answer by stanbon(57953)

Question 141710: A circle centered at the origin has a radius of 10.If the point(10,0)is rotated 120 degrees counter-clockwise, determine the coordinates of the new point in exact radical form.
Click here to see answer by Edwin McCravy(8999)

Question 141778: What is equal to csc of theta
Click here to see answer by jojo14344(1512)

Question 141791: Find all solutions of the equations in the interval [0, 2π) algebraically.
sec²x – secx = 2
Click here to see answer by nabla(475)

Question 141838: Hi there! I need some step by step help with law of sines solving two triangles
Here's my question from my worksheet:
Given triangle ABC with a=13, b=14 and A=35degrees find c. Round your answer to two decimal places. The answer for that is c= 21.69 OR 1.24
I worked out the problem and got c= 21.69, I just don't know how to get 1.24!
Could you show me step by step how to get 1.24! Thanks a lot!! =]
Click here to see answer by stanbon(57953)

Question 142053: The point (-1/2,sqrt3/2) on the unit circle is rotated 60 degrees clockwise. Determine the coordinates of the new point.
Click here to see answer by stanbon(57953)

Question 142054: The point (0,-1) on the unit circle is rotated 315 degrees counter-clockwise.Determine the coordinates of the new point.
Click here to see answer by stanbon(57953)

Question 142105: I am trying to find the cot theta/2
I have a triangle which is not a right triangle, an angle theta with adjacent side of 8 and opposite side of 6.
I thought I was doing it correctly but I don't think I am.
I figured that since the cot = adj/opp = 8/6 which is 1.3333 and since it is cot theta/2, I then divided that by 2 and got .6666
Then I'm stuck. What do I do with the .6666 (if that is correct so far)?
Click here to see answer by stanbon(57953)

Question 142444: Use sum or difference identities to find the exact value of each trigonometric function.
4.csc(915)degrees
6.sec(15)degrees
I tried this one on my own, could someone please, if possible verify that it is a right answer. sin (-165)degrees = (-radical6 + radical 2)/(-4)
Thanks for helping me!

Click here to see answer by stanbon(57953)

Question 142468: verify that each equation is an identity.
1.1+sin2x=(sinx+cosx)^2
2.(cosxsinx)=(sin2x)/2
thank you for any help you can provide me with.
Jat
Click here to see answer by stanbon(57953)

Question 142454: Use the given information to find , , .
1. ,
2. ,
3. ,
Any help is greatly appreciated.
Thanks,
Justin
Click here to see answer by Edwin McCravy(8999)

Question 142914: Find the corresponding reference angle.

125
Click here to see answer by stanbon(57953)

Question 143017: Given that tan(θ)=3/4 and θE(π,3π/2); find the values of the remaining five trigonometric functions of θ
Click here to see answer by stanbon(57953)

Question 143029: Find all values of x in the interval 0 degrees is less than or equal to x which is less than 360 degrees that satisfy the equation 3cosx+sin2x=0.
Click here to see answer by stanbon(57953)

Question 143157: Solve for X: (3x/x+2)+(7/x-2)=3
Click here to see answer by vleith(2825)

Question 143235: I am completely confused regarding trig, the beginner trig in involving right triangles:
Sin: opposite leg/ hypotenuse
Cos: adjacent leg/ hypotenuse
Tan: adjacent leg/opposite leg
Is this correct?
How do you know what leg is adjacent?
What happens when you have a angle but you need to find a leg number? Do you use 'sin-1'?
Click here to see answer by vleith(2825)

Question 143405: How do you find one angle of a right triangle in order to figure out what the variable is?
Click here to see answer by solver91311(17072)

Question 143411: 1. Janifryda is playing with a frisbee whose diameter is 12 inchers. If she tosses it onto a coordinate plane, and its center falls on thepoint (-2,1), whatis the equation of the frisbee?

thank you!
Click here to see answer by Earlsdon(6294)

Question 143413: Lets say you were given the following problem:
A 20 foot ladder is leaning against a wall. The base of the ladder is 3 feet from the wall. What angle does the ladder make with the ground?
How would you solve this?
Click here to see answer by solver91311(17072)

Question 143412: Write the equation 2x^2-16x-y+24=0 in vertex form.
Find the..
(a) vertex
(b) axis of symmetry
(c) focus
(d) directrix oft the parabola

thank you.
Click here to see answer by stanbon(57953)

Question 143417: Consider the ellipse whose equation is (x-3)^2/ 25 + (y-4)^2/16 =1
a. what is the center? (3,4)?
b. What are the lenghts of the major and minor axes, and the distance between the foci?
c. find the coordinates of the focal points.
thank you so much
Click here to see answer by stanbon(57953)

Question 143458: The price per person to rent a limousine for a prom varies inversely as the number of passengers. If 5 people rent the limousine, the cost is $70 each. How many people are renting the limousine when the cost per couple is $18.50?
Click here to see answer by stanbon(57953)

Question 143649: I have have been struggling with this for half of the day. I would appreciate any assistance with the following problem:
Two boats leave the port at the same time. The first boat travels due east at 14 mph, and the second boat travels at 28 mph in the direction of N30 degrees E . To the nearest tenth of a mile, how far apart will the boats be in a half an hour? (Hint: 0.5 represents a half an hour.)
Click here to see answer by josmiceli(9817)

Question 143662: I am attempting to solve a distance problem. But, am finding that I am having difficulty with the problem. Any assistance with the this problem would be greatly appreciated.
Problem: A weather balloon(B) lies directly over a 1000-meter airstrip extending from A to C. The angle of elevation from A to B is 55 degrees and from C to B is 37 degrees. I need to find the distance from A to B and from C to B.
Click here to see answer by ankor@dixie-net.com(15746)

Question 143621: I am not sure if this is trig but the question is
T_n = 2n + 3
write the first five terms of the sequence
Click here to see answer by Edwin McCravy(8999)

Question 143624: write the first five terms of the sequence
T_n = -2.22n + 1.3
Click here to see answer by Edwin McCravy(8999)

Question 143625: T1=1,T1=2Tn-1+2
write the first five terms of the sequence
Click here to see answer by Edwin McCravy(8999)

Question 143742: I am in desperate need of assistance with an application problem. Any help would be appreciated.
The problem:
A man at ground level measures the angle of elevation to the top of a building to be 53 degrees . If, at this point, he is 12 feet from the building, what is the height of the building? I need find the solution to the nearest hundredths and draw the picture. The same man now stands atop a building. He measures the angle of elevation to the building across the street to be 20 degrees and the angle of depression (to the base of the building) to be 35 degrees. If the two buildings are 50 feet apart, how tall is the taller building? Round to the nearest hundredths.

Click here to see answer by ankor@dixie-net.com(15746)

Question 143826: A boat heads out to sea from a port that sits along a straight shoreline. The boat heads in a direction that makes a 70 degree angle with the shoreline. After sailing for 3 miles, the skipper looks back at the shore and sees his house. The house, like the port, also sits on the shore. The lines of sight to the port and to his home make an 80 degree angle. How far is the skipper's home from the port? Round your answer to the nearest tenth of a mile.
Click here to see answer by Earlsdon(6294)

Question 143955: Right triangle RST has vertices R(-2,-1) and S(0,1). If the measure of angleR is 90 degrees, which is teh equation of lineRT?
A. y = -5x + 2
B. y = -x - 3
C. y = -x-1
D. y = 5x - 3
Click here to see answer by oscargut(900)

Question 144023: How do I figure out what bearings should be used. The points on my triangle are A(1,2), B(3,8)and C(7,4) Angle measurements are A 52.85 degrees, B 63.76 degrees and C 63.39 degrees. I am going from point(0,0) to B(3,8). I need to know the exact bearing used to travel from (0,0) to point B. Also, how do I figure out the range of bearings so I avoid the triangle?
Click here to see answer by stanbon(57953)

Question 144076: If anyone could help with the following. I am having a little trouble getting the correct answer for this question.
The rade of a hill is 8.6%. If the road up the hill is 3.55 km long, what is the angle from the horizontal and the change in vertical and horizontal distances.
Any help would be appreciated as I just cant seem to get the correct answer. Thanks.
Click here to see answer by stanbon(57953)

Question 144075: I have having problems with solving the following. If anyone can provide me with the steps it would be appreciated.
The measurement of land area assumes that the land is horizontal. What is the actual area of a 4.38 ha field if it is on a 15% slope.
Thanks, much appreciated.
Click here to see answer by stanbon(57953)

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, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810