If tan 5 4 find sin2 - cos2 - JAMB Mathematics 2006 Question
If tan θ = 5/4, find sin2θ - cos2θ.
A
5/4
B
41/9
C
9/41
D
1
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Correct Option: C
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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