We will also provide some tips for Solving trig equations on the interval 0 2pi) quickly and efficiently
A.) 3sec 2 tanx = 4tanx; tanx(3sec 2 x - 4) = 0; tanx = 0; x = 0 or x = π 3sec 2 x - 4 = 0; secx = 2/√3, x = π/6 or x = 11π/6 secx = - 2/√3, x = 5π/6 or x = 7π/6
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We begin by factoring: 2x2 + x = 0 x(2x + 1) = 0 Set each factor equal to zero. x = 0 2x + 1 = 0 x = − 1 2. Then, substitute back into the equation the original expression sinθ for x. Thus, sinθ = 0 θ =
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