Establish the identity Sec2 theta1 sin2 theta 1 Rewrite the

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

Solution

sec²theta(1-sin²theta)=1

sec²theta - sec²theta sin²theta

sec²theta - tan²theta

1

It is pythagoras identity