Question

(a) Rewrite the expression as an algebraic expression in x

tan(sin^{-1}(x))

(b) Find sin(2x), cos(2x) and tan (2x) from the given information

csc(x)=4, tan(x)<0

Answer #1

1.Find all solutions on the interval [0, 2π)
csc (2x)-9=0
2. Rewrite in terms of sin(x) and cos(x)
Sin (x +11pi/6)

Find the values of sin x, tan x, cot x, sec x, and csc x and cos
x given that cos(2x)=(3/5) and 3 π /2 < 2x <2 π

1. Use the given conditions to find the exact value of the
expression.
sin(α) = -5/3, tan(α) > 0, sin(α - 5π/3)
2. Use the given conditions to find the exact value of the
expression.
cos α = 24/25, sin α < 0, cos(α + π/6)
3. Use the given conditions to find the exact value of the
expression.
cot x = √3, cos x < 0, tan(x + π/6)
4. If α and β are acute angles such that...

Find sin(x/2), cos(x/2), and tan(x/2) from the given
information.
Sin(x) = 24/25, 0° < x < 90°

Find the exact value of the expressions cos(a+b), sin(a+b) and
tan(a+b) under the following conditions:
cos(x)=12/13,x lies in quadrant 4, and sin(y)=-4/11, y lies in
quadrant 3
a. cos (a+b) b.sin(a+b) c.tan(a+b)

1) Completely simplify
2) Write the expression cot( in terms of x and y only
3) If csc x = 2 and x is in Q I, determine the exact values of
sin x and cos x.
4) Use a sum to product formula to rewrite sin 2x – sin 5x as
the product of two trig functions.
Step by Step please
5) Use a product to sum formula to rewrite sin(2x) * sin(5x) as
a sum of two trig...

1.Given cos(x) = 1/6 with 3π/2 < x < 2π. Find
the value of cos(2x).
2. which of the following is equivalent to: (8sin(x) +
8 cos(x))^2?
3. which of the following is equivalent to:
12cos(-x)sin(-x)/tan(-x)cot(x+9π)

Solve for −?≤?≤?.
(a) cos x – sin x = 1
(b) sin 4x – sin 2x=0
(c) cos x−√3sin ? = 1

if sin x = 7/8 , x in quadrant I, then find (without
finding x)
sin(2x)=
cos(2x)=
tan(2x)=
Show Steps I need help

9. Suppose that tan(alpha)=3/4 and pi<alpha<3pi/2. Find:
a)sin(2alpha), b)cos(2alpha).
10. Suppose that tan(alpha)=-3 and 3pi/2<alpha<2pi. Find:
a)sin(2alpha), b)cos(2alpha).
16. Given theta is an acute angle with cos(theta)=1/4 , find the
value of tan(theta/2)+tan(2theta). Hint: Find each (using half
angle or double angle formulas) and add them up.

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