If √3 tan θ=3 sin θ,then find the value of sin ^2θ-cos^2θ
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Answer:
The answer is 1/2.
Step-by-step explanation:
First you have to figure out the value of θ.
√3tanθ=3
tanθ=3/√3
tanθ = tan60°
θ = 60°
Now,
sin^2 θ - cos^2 θ
= sin^2 60 - cos^2 60
= (√3/2)^2 - (1/2)^2
= 3/4 - 1/4
= 2/4
= 1/2(Ans)
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