Question 31
TrigonometryIf tan θ = 4/3, calculate sin2θ − cos2θ.
- A.16/25
- B.24/25
- C.7/25
- D.9/25
Show the answer and explanation
Answer: C (7/25)
Explanation
A 3-4-5 triangle gives sin θ = 4/5 and cos θ = 3/5. So sin2θ − cos2θ = 16/25 − 9/25 = 7/25.
If tan θ = 4/3, calculate sin2θ − cos2θ.
Answer: C (7/25)
A 3-4-5 triangle gives sin θ = 4/5 and cos θ = 3/5. So sin2θ − cos2θ = 16/25 − 9/25 = 7/25.