**Pythagorean Identities**

Convert one trig function into another

*Note: In Problems 11.14–11.15, you solve the equation sin ^{2} x = cos^{2} x using two different techniques. In each problem, identify the solutions on the interval 0 ≤ x < 2π.*

**11.14** Rewrite the equation in terms of tan^{2} *x* and then solve the equation for *x*.

Divide both sides of the equation by cos^{2} *x*, which creates the quotient sin^{2} *x*/cos^{2} *x* = tan^{2} *x* left of the equal sign. Solve that equation for *x*.

The tangent function is equal to ±1 when the numerator and denominator are either equal or opposite values.

*Note: In Problems 11.14–11.15, you solve the equation sin ^{2} x = cos^{2} x using two ...*

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