if sin©{cos© than the value of tan2©+cot2©is
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Answer:
MATHS
If sin θ , cos θ and tan θ are in G.P. then cot
6
θ−cot
2
θ is
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ANSWER
As they are in GP
So, tanθsinθ=cos
2
θ⇒sin
2
θ=cos
3
θ
Now, cot
6
θ=
sin
6
θ
cos
6
θ
=
(sin
2
θ)
3
cos
6
θ
=
(cos
3
θ)
3
cos
6
θ
=
cos
3
θ
1
=
sin
2
θ
1
=cosec
2
θ
Hence, cot
6
θ−cot
2
θ=cosec
2
θ−cot
2
θ=1
Therefore, Answer is 1
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