Questions on Algebra: Trigonometry answered by real tutors!

Tutors Answer Your Questions about Trigonometry-basics (FREE)

Question 195859: Prove that (1 - sin 2x)/(cos 2x)=(cos 2x)/(1 + sin 2x)

Click here to see answer by Alan3354(30993)

Question 195805: solve: 2sin x - 3 = 0
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Question 195860: Solve the equation 2cosx + √3= 0 for 0 = x = 2π.
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Question 195863: Solve for x in the equation 2sin xtan x + tan x - 2sin x - 1 = 0 for 0 = x =2π
Click here to see answer by Edwin McCravy(8908)

Question 196083: use definitions of trig functions to prove the identity.
1+tan squared theta = sec squared theta
Click here to see answer by Alan3354(30993)

Question 196089: Three forces acting at a point are in eqilibrium. These forces are 980 pounds, 760 pounds, and 1220 pounds. Find the angles between the directions of the forces.
My trig teacher told me to place all the vectors head to tail to form a triangle and find the angles using the law of consines. I got the angles 88.1, 38.5, and 126.6 but they add up to 180 not 360 like if the forces were actually pulling.
Click here to see answer by scott8148(6628)

Question 196162: How can you find the asymptotes of cotangent, cosecant, and secant problems?
Is there are formula? Please help me!
1. What are the asymptotes of
2. What are the asymptotes of
3. What are the asymptotes of
Click here to see answer by Edwin McCravy(8908)

Question 196414: cos^2∅+4cos∅+2=0
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Question 196434: Please find the degree in these angles.

I have a scalene triangle.

There are sides A, B, and C.

A = (x+2) degree sign.

C= 120 degrees.

B = (x-12)

please find the degree for x m
thank you
Click here to see answer by Alan3354(30993)

Question 196245: Solve the equation sin? + 2cos? - 2 = 0 for 0 = ? = 2π.
Click here to see answer by Alan3354(30993)

Question 196575: 1.The water at a local beach has an average depth of 1 metre at low tide. The average depth of the water at high tide is 8 m. If one cycle takes 12 hours:
a.Determine the equation of this periodic function using cosine as the base function where 0 time is the beginning of high tide.
b.What is the depth of the water at 2 am?
c.Many people dive into the beach from the nearby dock. If the water must be at least 3 m deep to dive safely, between what daylight hours should people dive?

Click here to see answer by stanbon(57307)

Question 196591: Express as a single sine of cosine function:
a) 6sinxcosx
b) 1-2sin^2(x/4)

Click here to see answer by Alan3354(30993)

Question 196593: Using tanx=sinx/cosx, prove the addition formula for tangent, tan(A+B)=(tanA+tanB)/(1-tanAxtanB).

Click here to see answer by jim_thompson5910(28593)

Question 196590: Prove that tan(pi/2+x)=-cotx
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Question 196553: A chord of 12cm subtends an angle of 78.2 at the centre of a circle. Find the radius of the circle
Click here to see answer by Alan3354(30993)

Question 196607: What is the double angle formula derived from the sine and cosine subtraction formulas?
Click here to see answer by Mathtut(3670)

Question 196914: 2y+1
___________
y^2-y-6
Click here to see answer by jim_thompson5910(28593)

Question 197066: Determine the average rate of change from the first point to the second point for the function y = 2x:
a.x1 = 0 and x2 = 3
b.x2 = 3 and x2 = 4
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Question 197104: Using the graph, find the instantaneous rate of change at:
a.x = -2
b.x = -1
c.x = 3

Click here to see answer by Alan3354(30993)

Question 197103: Find the approximate value of the tangent to the following functions at the given x-value. Use the algebraic method.
a.y = 1/x at x = 1
b.y = 3cos3x at x = 3
c.y = x^3 + 2 at x = 4
d.y = 3^x at x = 4

Click here to see answer by Alan3354(30993)

Question 197107: Estimate the instantaneous rate of change for the function y = x2 at the following x values:
i.x = 1
ii.x = 2
iii.x = 3

Click here to see answer by Alan3354(30993)

Question 197298: sin(2cos^-1(4/5)
Click here to see answer by stanbon(57307)

Question 197298: sin(2cos^-1(4/5)
Click here to see answer by user_dude2008(1861)

Question 197099: ok will u please help me understand if i am graphing the equation of sine and cosine correctly?
1) y= 2sin(1/8)x
amplitude: 2
period:16π
coordinates
X: {0,(1/2)}; {(π/10),0} ; {(π/5),(-1/2)} ; {(3π/10),0} ; {(2π/5), (1/2)}
i hope that makes sense but if it doesnt i totally understand because im not even sure thats what the problem is askinfg for
Click here to see answer by stanbon(57307)

Question 197367: the period of the function y= cos3x in radians is?
Click here to see answer by solver91311(16877)

Question 197368: the phase shift of the function y= 3sin5(ϴ-π∕4) is?
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Question 197377: Determine the average rate of change from the first point to the second point for the function y = 2^x:
a.x1 = 0 and x2 = 3
b.x2 = 3 and x2 = 4
Click here to see answer by solver91311(16877)

Question 195964: how to do??? im lost
Click here to see answer by Alan3354(30993)

Question 197397: matrx 38
Click here to see answer by Alan3354(30993)

Question 197398: 8,-12 slope=-2/3
Click here to see answer by checkley77(12569)

Question 197498: When point A is -1.054 and point B is 1.778 and the slope of the secant is -0.621, then:
find the instantaneous rate of change at:
a. x = -2
b. x = -1
c. x = 3

Click here to see answer by Alan3354(30993)

Question 197493: Verify: Tan(squared)x-Tan(squared)y=Sec(Squared)x-Sec(squared)y
Click here to see answer by Alan3354(30993)

Question 197567: find the cosine of the angle formed with the coordinates (-6, 7) located in standard position
Click here to see answer by Edwin McCravy(8908)

Question 197410: Estimate the instantaneous rate of change:
a.for the function y = x^2 at the following x values:
i.x = 1
ii.x = 2
iii.x = 3
b.for the function y = x^3 at the following x values:
iv.x = 1
v.x = 2
vi.x = 3
c.Create two functions that can be developed from a) and b) that will give you the instantaneous rate of change without reducing the interval.
d.Use the reasoning from c) to find the instantaneous rate of change for:
iv.y = x^4 at x = 3
v.y = 3x^3 at x = 2

Click here to see answer by Alan3354(30993)

Question 197714: Given f(x)= 1/2x+1 and g(x) = √3x-5
Determine (f.g)(x) and its domain.

Note:- the square root is on whole 3x-5
Click here to see answer by stanbon(57307)

Question 197879: You are climbing Mount Cook in New Zealand. You are below the mountain’s peak at an altitude of 8580 feet. Using surveying instruments, you measure the angle of elevation to the peak to be 30.5 degrees. The distance (along the face of the mountain) between you and the peak is 7426 feet. What is the altitude of the peak?

Click here to see answer by stanbon(57307)

Question 197975: how high is kite, if 180' of string is let out and the angle of elevation of the kite is 47 degrees?
Click here to see answer by solver91311(16877)

Question 197982: at a certain time during the day a vertical meterstick casts a shadow 3m long. what is the angle of elevation of the sun?
Click here to see answer by stanbon(57307)

Question 197981: a tunnel slopes downward at an angle of 16 degrees with the ground. assuming the ground to be level, how far below the ground is a worker who is in the tunnel 432' from the opening?
Click here to see answer by stanbon(57307)

Question 197979: from the top of a tower, the angle of depression of a rock is 41 degrees. if the distance from the tower's top to the rock is 1021m, how far from the base of the tower to the rock located?
Click here to see answer by solver91311(16877)

Question 197978: determine the angle of elevation of the top of a tree, whose height is 150' and its shadow at a given time is 36'.
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Question 198052: simplify tan²x(csc²x-1)
simplify sinxcos²x-sinx
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Question 198194: The indicator on a circular volume knob is located at 170 degrees. Venuta likes a song that comes on the radio and turns the knob clockwise through 4.75 rotations. What is the new position of the indicator on the volume knob?
Click here to see answer by stanbon(57307)

Question 198219: Please (!) help me solve this:
In triangle ABC, a=24, b=36 and c=30. Find

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