Question

Which of the following equations are identities? Check all that apply.

Answer 1

B and C

Explanation:

A P 3 X

Answer 2

`\bf \textit{Pythagorean Identities} \\\\ sin^2(\theta)+cos^2(\theta)=1 \\\\ 1+cot^2(\theta)=csc^2(\theta) \\\\ 1+tan^2(\theta)=sec^2(\theta)\\\\ -------------------------------`


`\bf 1+cot^2(x)=csc^2(x)\implies cot^2(x)-csc^2(x)=-1 \\\\\\ \boxed{csc^2(x)-cot^2(x)=1}\qquad \qquad A~\otimes\\\\ -------------------------------\\\\ 1+tan^2(x)=sec^2(x)\implies \boxed{tan^2(x)=sec^2(x)-1}\qquad \qquad B~\checkmark \\\\ -------------------------------\\\\ sin^2(x)+cos^2(x)=1\implies \boxed{sin^2(x)=1-cos^2(x)}\qquad \qquad C~\checkmark \\\\ -------------------------------\\\\ \boxed{sin^2(x)+cos^2(x)=1}\qquad \qquad D~\otimes`