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The Humongous Book of Trigonometry Problems by W. Michael Kelley

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Pythagorean Identities

Convert one trig function into another

Note: In Problems 11.14–11.15, you solve the equation sin2 x = cos2 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 tan2 x and then solve the equation for x.

Divide both sides of the equation by cos2 x, which creates the quotient sin2 x/cos2 x = tan2 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 sin2 x = cos2 x using two ...

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