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Question

# Determine whether the statement is true or false. Justify your answer. The equation $\sin ^{2} \theta+\cos ^{2} \theta=1+\tan ^{2} \theta$ is an identity, because $\sin ^{2}(0)+\cos ^{2}(0)=1$ and $1+\tan ^{2}(0)=1$

Solution

Verified
Step 1
1 of 3

The statement is false.

The equation is the identity if it is valid for all values of a variable from the domain of the equation (which means that the left and the right side of the equation is defined for a value from the domain)

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