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 ...