2002
Mathematics
JAMB
If tan θ = 4/3, calculate sin2 θ - cos2 θ.
A.
16/25
B.
24/25
C.
7/25
D.
9/25
Correct Answer: 7/25
Explanation
tan θ = opposite/adjacent = 4/3 Hyp2 = 42 + 32 Hyp = 5. sin θ = 4/5; cos θ = 3/5 sin2θ − cos2θ = 16/25 −9/25 = 7/25
tan θ = opposite/adjacent = 4/3 Hyp2 = 42 + 32 Hyp = 5. sin θ = 4/5; cos θ = 3/5 sin2θ − cos2θ = 16/25 −9/25 = 7/25THIS WEEK's
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