Question

sin theta * tan theta + tan ^2theta = ?

Answer 1

Answer:

sinQ tanQ

Step-by-step explanation:

Using identities:

sec

x

=

1

cos

x

and ,

tan

x

=

sin

x

cos

x

So we can write:

sin

2

θ

cos

2

θ

1

cos

θ

Multiplying by

cos

θ

sin

2

θ

cos

θ

cos

2

θ

Cancelling:

sin

2

θ

cos

θ

cos

θ

We can express this as:

sin

θ

sin

θ

cos

θ

Since

sin

θ

cos

θ

=

tan

θ

We have:

sin

θ

tan

θ

L

H

S

≡

R

H

S

Hope this helps you