Mathematics

If tan θ = 5/4, find sin2θ – cos2θ.

If tan θ = 5/4, find sin2θ – cos2θ.
  • A.5/4
  • B.41/9
  • C.9/41
  • D.
    1
Correct Answer: Option C
Explanation

Tan θ = 5/4
x2 = 52 + 42
= 25 + 16
= 41
x = √41
sin2θ – cos2θ = (5/√41)2 – (4/√41)2
= 25/4116/41
= 9/41