Question

2tan^-1(cosx)=tan^-1(2cosecx) then x=?

Answer 1

Step-by-step explanation:

Let k=2tan

−1

(cosx)=tan

−1

(2cosecx)

tan

2

k

=cosx and tank=2cosecx

tank=

1−tan

2

2

k

2tan

2

k

=

1−cos

2

x

2×cosx

=

sin

2

x

2cosx

=

sinx

2

⇒tanx=1

⇒x=

4

π