Question

If √3tanØ=3SinØ find the value of sin²Ø-Cos²ø​

Answer 1

Answer:

We have,

3

tanθ=3sinθ

3

cosθ

sinθ

=3sinθ

3

sinθ

sinθ

=3cosθ

3

1

=cosθ

On squaring both side, we get

3

1

=cos

2

θ........(1)

1−sin

2

θ=

3

1

sin

2

θ=1−

3

1

sin

2

θ=

3

2

.........(2)

sinθ=±

3

2

Hence, this is the answer.