For questions 4-5, Multiply and simplify the trigonometric expression. 4) sin th

Question

For questions 4-5, Multiply and simplify the trigonometric expression. 4) sin theta (sec theta tan theta + csc theta + cot theta) A) sec^2 theta + cos theta B) sin^2 theta -1 cos theta C) sin theta + 2 sec theta D) 1 + 2 sin^2 theta 5) (sin x - cos x)(sec x + csc x) A) tan x cot x B) tan x - sin x C) cos x - cot x D) cot x + csc x For Question 6, Factor and simplify the Trigonometric Expression 6) sec^4 x - 2 sec^2 x tan^2 x + tan^4 x A) 1 B) sec^2 x (1 + tan^2 x) c) sec^2x + tan^2 x D) 2 For Question 7-9, Simplify the Trigonometric expression. 7) sin^2 x - 7/sin x + 1 A) sin x B) cos^2x C) sin x + 1 D) sin x - 1 21 tan^3 x/sec^2 x 7 tan x/sec x A) 3 sin x tan^2 x B) 3 sin^3x tan x C) 3 sec x tan x D) 3 sin x tan x cos^2 theta-16/3 sin theta-1 middot 21 sin theta -7/2 cos theta + 8 A) 7 (cos^2 theta -4)/2 (cos theta +1) B) 7 (cos theta - 4)/2 C) 7 (cos theta +4)/2 D) 7 (cos theta - 4)/2 (3 sin theta -1) For Question 10, Use the sum and difference identities to evaluate exactly. tan 7 pi/12 A) 2 - Squareroot 3/4 B) 2 + Squareroot 3/4 C) -4 - Squareroot 3 D) 2 + Squareroot 3

Explanation / Answer

4. sin theta(sec theta tan theta +csc theat + cot theta)

sin theta sec theta tan theta + csc theta sin theta + cot theta sin theta

sin^2 theta/cos^2 theta + 1 + cos theta= (sin^2 theta + cos^2 theta)/cos^2 theta + cos theta =sec^2 theta + cos theta

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