Explanation

Factor: numerator = sinθ(2sin²θ − 1) and denominator = −cosθ(2cos²θ − 1). Since 2sin²θ − 1 = −cos2θ and 2cos²θ − 1 = cos2θ, the ratio is sinθ(−cos2θ)/(−cosθ·cos2θ) = tanθ. This is option (c).