Question

If cos@= -3/5 and @lies in third quadrant then value of sin@ is.

Answer 1

Answer:

Given cosx=−

2

1

⇒secx=−2

But sin

2

x=1−cos

2

x=1−

4

1

=

4

3

∴sinx=±

2

3

Since x lies in third quadrant, sinx negative.

∴sinx=−

2

3

⇒cscx=−

3

2

tanx=

cosx

sinx

=

3

and cotx=

sinx

cosx

=

3

1