f 4 sin^2 theta-3 = 0 find theta and hence the value of tan theta - 3 sin^2(theta - 15) - 2 cos^2(theta/2)
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Class 11
>>Maths
>>Trigonometric Functions
>>Trigonometric Functions
>>If √(3)tantheta = 1 , find the value of
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If
3
tanθ=1, find the value of sin
2
θ−cos
2
θ.
Medium
Solution
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Correct option is A)
3
tanθ=1
⇒tanθ=
3
1
⇒θ=60°
∴sin
2
θ−cos
2
θ=sin
2
θ−cos
2
θ
=(
2
3
)
2
−(
2
1
)
2
=
4
3
−
4
1
=
2
1
Hence, the answer is 0.5.
Step-by-step explanation:
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