Q. 93.7( 3 Votes )

# If tan θ =1, then find the value of sin2 θ -cos2 θ.

Given: √3 tan θ = 1

tan θ = 1/√3

θ = tan-1 (1/√3) [Taking tan inverse]

θ = 30°

To find value of sin2 θ – cos2 θ, substitute value of θ

We get, sin2 30° - cos230°

= (1/2)2 – (√3/2)2

= 1/4 - 3/4

= -2/4 = -1/2

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