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lilavasa [31]
3 years ago
7

Decide whether the equations is a trigonometric function identity, EXPLAIN.

Mathematics
1 answer:
hodyreva [135]3 years ago
7 0

(1) Answer: Identity true

\cos^2x(1+\tan^2x)=\cos^2x(1+\frac{sin^2x}{cos^2x})=\\= \cos^2x\frac{cos^2x+sin^2x}{cos^2x}=1

(2) Answer: Identity true

\sec x \tan x(1-\sin^2x)=\sin x\\\frac{1}{\cos x}\frac{\sin x}{\cos x}(\cos^2x)=\sin x\\\sin x = \sin x


(3) Answer: Identity true

\sin^2(\theta)\csc^2(\theta)=\sin^2(\theta)+\cos^2(\theta)\\\sin^2(\theta)\frac{1}{\sin^2(\theta)}=\sin^2(\theta)+\cos^2(\theta)\\1 = 1


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