Question

If tan(theta) = 2 then find sin(theta).​

Answer 1

Step-by-step explanation:

We have,

sec

2

θ=1+tan

2

θ

secθ=

1+tan

2

θ

⟹secθ=

1+4

=

5

∴cosθ=

secθ

1

=

5

1

Now,

tanθ=

cosθ

sinθ

sinθ=2×

5

1

=

5

2

∴cosecθ=

sinθ

1

=

2

5

Also,

cotθ=

tanθ

1

=

2

1