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JAMB - Mathematics (2006 - No. 26)
If tan θ =
5
/
4
, find sin
2
θ - cos
2
θ.
5
/
4
41
/
9
9
/
41
1
Explanation
Tan θ =
5
/
4
x
2
= 5
2
+ 4
2
= 25 + 16
= 41
x = √41
sin
2
θ - cos
2
θ = (
5
/
√41
)
2
- (
4
/
√41
)
2
=
25
/
41
-
16
/
41
=
9
/
41
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