Question

Which equation shows that the Pythagorean identity is truefor ____Select the equation that is in the form ——-

Answer 1

We have, in general, this identity

`\sin^2(\theta)+\cos^2(\theta)=1`

we want to evaluate it when theta= pi. Recall that

`\begin{gathered} sin(\pi)=0 \\ cos(\pi)=\text{ -1} \end{gathered}`

so if we evaluate this identity when theta = pi, we get

`1=\sin^2(\pi)+cos^2(\pi)=(0)^2+(\placeholder{⬚}\text{ -1\rparen}^2`

which corresponds to option D. That is, option D is correct