Question 28
TrigonometryIf tan θ = 5/4, find sin2θ − cos2θ.
- A.5/4
- B.41/9
- C.9/41
- D.1
Show the answer and explanation
Answer: C (9/41)
Explanation
The hypotenuse is √(25 + 16) = √41, so sin2θ − cos2θ = 25/41 − 16/41 = 9/41.
If tan θ = 5/4, find sin2θ − cos2θ.
Answer: C (9/41)
The hypotenuse is √(25 + 16) = √41, so sin2θ − cos2θ = 25/41 − 16/41 = 9/41.