if cot theta =1 /sqrt 3 , find 1 -cos2theta/ 2-sin^2 theta
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If cot θ = 1/√3, show that (1-cos2θ)/(2-sin2θ)=3/5.
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Answered by
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If cotθ=
3
1
then find the value of (
2−sin
2
θ
1−cos
2
θ
)
Medium
Solution
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Given,
cotθ=
3
1
⇒cotθ=cot60
o
⇒θ=60
o
∴(
2−sin
2
θ
1−cos
2
θ
)
Putting the value of θ we get,
=
2−sin
2
60
o
1−cos
2
60
o
=
2−(
2
3
)
2
1−(
2
1
)
2
=
2−
4
3
1−
4
1
=
4
8−3
4
4−1
=
4
5
4
3
=
5
3
.
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