Question

If 3 tan 0 =1 then find the value of sin 0-cos e​

Answer 1

Step-by-step explanation:

Answer

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.