If tan θ = 5/4, find sin2θ – cos2θ.

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Mathematics JAMB 2006

If tan θ = 5/4, find sin2θ – cos2θ.

  • 5/4
  • 41/9
  • 9/41 checkmark
  • 1

The correct answer is: C

Explanation

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