If 13sin A - 12cos A = 0find the values of i) tan^2 A - sec^2 A.
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If 5cosθ−12sinθ=0, find
2cosθ−sinθ
sinθ+cosθ
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5cosθ−12sinθ=0
⇒5cosθ=12sinθ
⇒cotθ=
5
12
⇒
2cosθ−sinθ
sinθ+cosθ
=
sinθ(2cotθ−1)
sinθ(1+cotθ)
=
2×
5
12
−1
1+
5
12
=
5
24
−1
5
17
=
5
24−5
5
17
=
5
17
×
19
5
=
19
17
Hence, the answer is
19
17
.
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If 13sin A - 12cos A = 0find the values of i) tan^2 A - sec^2 A.
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