Question 43
TrigonometryIf cos2θ + 1/8 = sin2θ, find tan θ.
- A.3
- B.3√7/7
- C.3√7
- D.√7
Show the answer and explanation
Answer: B (3√7/7)
Explanation
Replace sin²θ by 1 − cos²θ: 2cos²θ = 7/8, so cos²θ = 7/16 and sin²θ = 9/16. tan θ = 3/√7 = 3√7/7.
If cos2θ + 1/8 = sin2θ, find tan θ.
Answer: B (3√7/7)
Replace sin²θ by 1 − cos²θ: 2cos²θ = 7/8, so cos²θ = 7/16 and sin²θ = 9/16. tan θ = 3/√7 = 3√7/7.