Establish the identity. Sec^2 theta(1 - sin^2 theta) 1 Rewrite the left side exp

Question

Establish the identity. Sec^2 theta(1 - sin^2 theta) 1 Rewrite the left side expression by expanding the product. (Do not simplify.) Apply the appropriate quotient identity and/or the appropriate reciprocal identity to the expression in the previous step. Sec^2 theta - ()sin^2 theta Multiply and apply the appropriate quotient identity to the expression from the previous step. Sec^2 theta - The expression from the previous step then simplifies to 1 using what? Even-Odd Identity Quotient identity Reciprocal Identity Cancellation Property Pythagorean Identity

Explanation / Answer

sec2theta(1-sin2theta)=1

sec2theta - sec2theta sin2theta

sec2theta - tan2theta

1

It is pythagoras identity

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