2006
Mathematics
67ca00ce0c643c71d77dee1f
If tan θ = 5/4 find sin2 - cos2θ
A.
9/41
B.
5/4
C.
1
D.
9/1
Correct Answer: 9/41
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
Tan θ = 5/4 x2 = 52 + 42 = 25 + 16 = 41 x = √41 sin2θ - cos2θ = (5/√41)2 - (4/√41)2 = 25/41 - 16/41 = 9/41THIS WEEK's
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