V. Verify each identity (work one side only). a) sin + cot cos8 = tan + csc cot csc b) cot(+7) = cot c) 0 2 d) 0 e) csc². sin 8 1 + cos 0 + sin 20 1 + cos 20 2 sec 0 sec - 1 1 + cos 0 sin 0 tan 0 = 2csc0
Added by Monica E.
Step 1
Step 1: Using the Pythagorean identity, csc²θ = 1 + cot²θ, we can rewrite csc²θ as 1 + cot²θ. Show more…
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Verify the following are identities. (a) $\frac{\sin u}{\csc u}+\frac{\cos u}{\sec u}=1$ (b) $\left(1-\cos ^{2} x\right)\left(1+\cot ^{2} x\right)=1$ (c) $\sin t(\csc t-\sin t)=\cos ^{2} t$ (d) $\frac{1-\csc ^{2} t}{\csc ^{2} t}=\frac{-1}{\sec ^{2} t}$
Preliminaries
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