Question 32
TrigonometryIf sec2 θ + tan2 θ = 3, then the angle θ is equal to
- A.30°
- B.45°
- C.60°
- D.90°
- E.105°
Show the answer and explanation
Answer: B (45°)
Explanation
sec²θ = 1 + tan²θ, so 1 + 2tan²θ = 3, tan²θ = 1 and θ = 45°.
If sec2 θ + tan2 θ = 3, then the angle θ is equal to
Answer: B (45°)
sec²θ = 1 + tan²θ, so 1 + 2tan²θ = 3, tan²θ = 1 and θ = 45°.