Answer: option b.
Step-by-step explanation:
To solve this exercise you must keep on mind the identities shown below:
1) [tex]sec\theta=\frac{1}{cos\theta}[/tex]
2) [tex]csc\theta=\frac{1}{sin\theta}[/tex]
3) [tex]tan\theta=\frac{sin\theta}{cos\theta}[/tex]
Therefore, to rewrite [tex]\frac{sec\theta}{csc\theta}=1[/tex] you must substitute identities and simplify the expression, as following:
[tex]\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[/tex]
Therefore, as you can see, the answer is the option b.
