Solve: tan θ sin θ + cos θ
Show answer & explanation
Correct answer: D
Explanation
Has been given :
tanθ sinθ + cosθ
According to the formula:
tanθ = sinθ / cosθ
sin²θ + cos²θ = 1
tanθ sinθ + cosθ
= (sinθ / cosθ) × sinθ + cosθ
= sin²θ / cosθ + cosθ
= (sin²θ + cos²θ) / cosθ
= 1 / cosθ
= secθ