1. Write a simplified algebraic expression for sin(tan-12 x). 2. (a) tan(tan-1 x) = d - tan(x) = dx (b) Prove that 1+x? Use the following: 1) y = tanx is x = tan y (take derivative implicitly) 2) sec?x = tan?x + 1 (Pythagorean identities. We will use these a lot)

Q: If tant = what is tan (t - π)? Enter the exact answer. tan (t = π) = - AY

A:

Q: If tan x = sin(2x) cos(2x) tan(2x) = = = - 1 3 cos x > 0,, then ;

A:

Q: 1. Verify sin(x) csc(x) tan(x) = cot(x)

A: To verify .

Q: 5. Simplify the expression: tan (csc (x)). Assume x is defined appropriately.

A:

Q: Prove the identity. tan(x -)- -cot(x) TC tan x 2 %3D sin(x - ) | tar(x-)- sin(x) cos) - cos(x) sin…

A:

Q: Find sin(a) and cos(3), tan(a) and cot(3), and sec(a) and csc(ß). a (a) sin(a) and cos(3) (b) X…

A: We have to find the trigonometric ratios.

Q: 12 and 1 <t<r,find sint , cost , sec t , csc t , cot t . 5 If tant Enter the exact answers. sin (a)…

A: Given query is to find the values of all trigonometric functions with the hlep of tan(t).

Q: Find sin sin(3) coo(), and tan) from the given information. COS tan(x) = V2, 0° < x < 90° sin 2…

A: We have to solve one question as per guidelines

Q: Given that tan(0) = 1, what is tan(20)?

A: Given that tan(θ)=72Formula: tan(2θ)=2tan(θ)1-tan2(θ)