If sin A=, then the value of cot A is
Given: … eq. 1
And we know that, …eq. 2
We need to find the value of cos A.
…eq. 3
(∵, sin2 θ +cos2 θ =1
⇒ cos2 A = 1-sin2 A
⇒ cos A = √ (1-sin2 A)
Substituting eq. 1 in eq. 3, we get
cos A = √(1-1/4)
=
Substituting values of sin A and cos A in eq. 2, we get