Questions on Algebra: Trigonometry answered by real tutors!

Tutors Answer Your Questions about Trigonometry-basics (FREE)

Question 169392: Will you please help. I'm stuck.
Solve triangle ABC if C=90 degrees, B=20 degrees, and b=10. Round measures of sides to the nearest tenth and measures of angles to the nearest degree. I have to show my work, and don't understand how to do this.
Thank you
Click here to see answer by Fombitz(13828)

Question 169395: rewrite as a single trigonometric ratio
Click here to see answer by Edwin McCravy(8999)

Question 169692: How do you factor 1-2cos^2x+cos^4x
Click here to see answer by scott8148(6628)

Question 170144: I'm attempting to do corrections on a test, but these three questions are giving me trouble! I've tried several different things, and I keep coming up with the same (wrong!) answer!
1) If is an angle in quadrant 4 and , find the value of .
2) What is the solution set of the equation
= in the interval ?
3) Find the solution set of over the domain °.

Click here to see answer by stanbon(57969)

Question 170167: sin(135 degree)plus cos (150 degree)
Click here to see answer by jim_thompson5910(28717)

Question 170420: hello, my question is concerning parabolas. I have to find the equation of the parabola whose vertex is (4, -2) and focus at (6,-2). my teacher rushed through this section and failed to explain what exactly the focus, vertex, and directrix is. If you could please explain to me them and the equations you use for them i would really appreciate it.
Thanks!!
Click here to see answer by stanbon(57969)

Question 170708: what is the x- intercept of this parabola y=-x^2+2x+3
Click here to see answer by Mathtut(3670)

Question 170708: what is the x- intercept of this parabola y=-x^2+2x+3
Click here to see answer by jojo14344(1512)

Question 170808: Hey, I have this question proving trigononmetric identities. I was given, I have already tried some things, I might be off track, but this is what I have done. I am working on the left side of the equal sign. I multiplied (sin/sin) to the left side of the plus sign, and (1-cosx/1-cosx) to the right side of the plus sign. I then combined the two sides of the plus sign to get . Then I am not sure what to do. The properties we were given were the reciprocal properties, quotient properties, and the pythagorean properties. Please help?
Click here to see answer by Alan3354(31532)

Question 170915: If cos θ=-5/13 and 0≤x ≤2 π, determine:
a) tan θ
b) sec θ
c) the possible values of θ to the nearest tenth

Click here to see answer by stanbon(57969)

Question 170922: Solve the equation for x in the interval 0≤x ≤2 π:
2sin²x-sinx-1=0

Click here to see answer by stanbon(57969)

Question 170913: A person’s blood pressure, P(t), in millimeters of mercury (mm Hg), is modeled by the function P(t)=100=20cos(8π/3t), where t is the time in seconds.
a)What is the period of the function?
b)What does the value of the period mean in this situation?
c)Calculate the average rate of change in a person’s blood pressure on the interval [0.2,0.3]
d) Estimate the instantaneous rate of change in a person’s blood pressure at t=0.5.

Click here to see answer by stanbon(57969)

Question 170928: Solve each equation for x in the interval 0≤x ≤2 π:
1/1+tan²x=-cosx

Click here to see answer by stanbon(57969)

Question 170929: Determine the values of sin2x, cos2x, and tan2x:
Sinx=3/5, and x is acute

Click here to see answer by Edwin McCravy(8999)

Question 171013: Solve this trig equation in the interval 0≤x≤2π:
2/sinx+10=6

Click here to see answer by Alan3354(31532)

Question 171108: how do you solve scale drawings and model questions like
you are building a deck. you make a scale drawing with a scale of 2 feet=1/2 inch. the actual deck is 18 feet long and 12 feet wide.

determin the length and width of the scale drawing?
Click here to see answer by Mathtut(3670)

Question 171186: Find one angle with positive measure and one angle with negative measure coterminal with -310 degrees
For the positive I went -310+360 = 50
For negative I went -310-360=-670.
Did I do this right? If not will you please show me what I did wrong.
Thanks
Click here to see answer by Mathtut(3670)

Question 171334: Find the cos 0 (theta) if csc 0(theta) = 11 square root of 2 divided by 12. (I don't have the symbols on my computer to write this exactly like on the page, but it is 11 by square root of two, over 12).
Click here to see answer by stanbon(57969)

Question 171418: I need help with solving and graphing one cycle of y= 2sin(3x-pi) and y = -3 cos(1/2x)-4.
So far for the first question I have gotten really mixed up but I got
3x-pi =o
x=pi/3
x=pi/2

Click here to see answer by stanbon(57969)

Question 171625: Please solve it what is value of x
2^(x-1) + 2^(x+1)=32
Click here to see answer by Alan3354(31532)

Question 171707: Here is my problem: Write the expression as a single logarithm
2ln(x^2+1)-ln(2x^3-1)
Click here to see answer by stanbon(57969)

Question 172027: I have two questions that I am stuck on. Will you please help me.
1. Find the exact value of cot(-pi/6)
2. Find the exact value of: sin 405 degrees
I must show my work and am not sure how to do these.
Please help
Thanks

Click here to see answer by Alan3354(31532)

Question 172172: i need to convert this rectangular equation into a polar equation: the circle centered at (0,-4), with a radius of 4.
thanks!
Click here to see answer by Edwin McCravy(8999)

Question 172288: Would someone please show me how to do these two problems. I have no textbook.
1. P(-15/17,-8/17) is found on the unit circle. Find sin O (theta) and cos O(theta).
2. Solve: x=Arctan(-sq. root 3).
I have to show all my work
Thanks
Click here to see answer by Alan3354(31532)

Question 172285: I have two questions.
1. Should the traingle be solved with Law of Sines or Laws of Cosines. Then solve the trangle and round to the nearest tenth. a=16, b=13, c=10
2. Should the triangle be solved beggining with Law of Sines or Laws of Cosines. Then solve the triangle and round to the nearest tenth. A=56 degrees, B=38 degrees, a-13.
Can some one please show me step by step how to do this. I have a test on it tonight and have to show my work.
Thanks
Click here to see answer by Alan3354(31532)

Question 172758: I have a question that I am not sure if I started right.
Find the exact values of the six trigonometric functions of O(theta) if the terminal sie of O(theta) in standard position contains the point (-5,-4)
I know x=-5 y=-4 and I came up with r=6.4
Can someone please help me with this.
Thanks
Click here to see answer by stanbon(57969)

Question 172760: I have two question that I don't understand how to do. Please help
1. find the exact value of: tan(-3pi)
2. Find the exact value of: sin 60 degrees - cos60 degrees.
I have to all my work for both problems. Will someone please help.
Thanks
Click here to see answer by stanbon(57969)

Question 172756: Will someone please show me how to do this problem:
Verify the sec O (theta)/sin O(theta)*cot O(theta)/csc O(theta) =csc O(theta) is an identity.
thanks
Click here to see answer by solver91311(17077)

Question 172762: I have two questions.
1. Find the area of triangle ABC if A=56 degrees, b=20 ft, and c=12 ft. Round to the nearest tenth.
2. In triangle ABC, A=35 degrees, a=43 and c=20. Determine whether triangle ABC has no solution, one solution, or two solutions. Then solve the triangle. Round to the nearest tenth.
I must show all my work, and I'm not really sure how to do either problem.
thanks
Click here to see answer by Alan3354(31532)

Question 172835: What Would be The solution to these problems?
1.Change -165.852 to degrees,minutes and second's
2.Write 28 42' 13" as a decimal to the nearest thousanth
3.If a 570 angle is in standard position,etermine a coterminal angle that is beetween 0 and 360. State the quadrant or axis in which the terminal side lies.
4.Find the value of cosine for angle A in a right triangle ABC if a=3 and b=6.
Click here to see answer by solver91311(17077)

Question 172849: How do you find the solutions of the equation sin2x + cos(x)=0
Click here to see answer by solver91311(17077)

Question 172849: How do you find the solutions of the equation sin2x + cos(x)=0
Click here to see answer by Alan3354(31532)

Question 172967: cos (135 degrees + 60 degrees)
where is a free online calculator that can sove this
Click here to see answer by solver91311(17077)

Question 172974: I have three questions that I need extreme help on.
1. Find sec thata if sin theta=-4/5 and 270 degrees 2. Simplify: (1/sec theta + sin^2 theta/cos theta)cos theta.
3. Find the exact value of: cos315 degrees.
I have to show my work to get any credit. Please help.
Thanks
Click here to see answer by midwood_trail(310)

Question 172972: Please help me.
State the vertical shift and the equation of the midline for y=cos theta-1
I must show all my work. Was absent and don't have a book. Please help
Thanks
Click here to see answer by stanbon(57969)

Question 172971: Need desperate help!!!
1. Find the amplitude, if it exists, and the period of: y=cos3theta
2. Find the amplitude, if it exists, and the period of: y=tan1/4theta
I have to show my work and don't know where to begin.
Thanks
Click here to see answer by midwood_trail(310)

Question 172990: If csc0=3 and sec0=3square root 2/4, what are the values of
a) sin 0=?
b) tan0=?
c) cos^2 0=?
can you show the steps so i know how to solve it thanks

Click here to see answer by Alan3354(31532)

Question 172925: What would be the solution to these problems?
1.If cos 0= -4/5,find sec 0.
2.Find the value of cot 330.
3.Find the value of sin 0 for angle 0 in standard position of the point (-2,-4)that lies on the terminal side.
4.Suppose 0 is an angle in standard position whose terminal side lies in quadrant 2 and the tan 0=-1.Find the remaining trigonometric functions for the function 0.
5.Use the right triangle ABC to find side a if A=37 and b=9
Click here to see answer by midwood_trail(310)

Question 173027: find the degree measure that corresponds to 11pie/4
Click here to see answer by nerdybill(7008)

Question 173028: find the exact value of the expression sin(pie/6)cos(pie/3)+sin(pie/3)cos(pie/6)
Click here to see answer by checkley77(12569)

Question 173031: 3) the expression
sin^2 x + cos^2 x / cos x
is equivalent to
1) sin x 2) cos x 3) sec x 4) csc x
4) if the probability that an event will occus is x/y , what is the probability that it will not occur?
1) y/x 2) -x/y 3) y - x / y 4) 1 - x / y
Please show work, thank you!

Click here to see answer by Alan3354(31532)

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