Question

Use trigonometric identities to rewrite the equation sec0/csc0=1 (picture provided)

Answer 1

Answer: option b.

Step-by-step explanation:

To solve this exercise you must keep on mind the identities shown below:

1) $sec\theta=\frac{1}{cos\theta}$

2) $csc\theta=\frac{1}{sin\theta}$

3) $tan\theta=\frac{sin\theta}{cos\theta}$

Therefore, to rewrite $\frac{sec\theta}{csc\theta}=1$ you must substitute identities and simplify the expression, as following:

$\frac{sec\theta}{csc\theta}=1\\\\\frac{\frac{1}{cos\theta}}{\frac{1}{sin\theta}}=1\\\\\frac{sin\theta}{cos\theta}=1\\\\tan\theta=1$

Therefore, as you can see, the answer is the option b.