Question

I f cosecx -2/√3 and x lies in third quadrant, fine the value of tanx
​

Answer 1

Answer:

Now, cosec x=

3

−2

⇒sin x=

2

−

3

.

cos

2

x=(1−sin

2

x)=(1−

4

3

)=

4

1

⇒cos x=+

4

1

=

2

1

.

∴tan x=

cos x

sin x

=(

2

−

3

×

1

2

)=−

3

.