Question

if 3tan^theta =1, find the value of sin^2 theta-cos^2theta​

Answer 1

Step-by-step explanation:

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.