Question 2
TrigonometrySimplify (cos 2θ − 1)/sin 2θ
- A.−tanθ
- B.−cosθ
- C.tanθ
- D.cosθ
Show the answer and explanation
Answer: A (−tanθ)
Explanation
cos 2θ − 1 = −2sin2θ and sin 2θ = 2sinθcosθ. Dividing gives −sinθ/cosθ = −tanθ.
Simplify (cos 2θ − 1)/sin 2θ
Answer: A (−tanθ)
cos 2θ − 1 = −2sin2θ and sin 2θ = 2sinθcosθ. Dividing gives −sinθ/cosθ = −tanθ.