Question

If 2 sin A-1=0 , and A is an acute angle , find
(i) A (ii) Sin A (iii) Tan A and cos A

Answer 1

hello user

here is ur answer

according to ur question

2sinA - 1 = 0

2sinA = 1

1) sin A = 1/2

2) A = 30°

3) Tan A = 1/√3

4) cos A = √3/2

Answer 2

Given : 2 sinA - 1 = 0.

⇒ 2 sin A = 1

⇒ sin A = 1/2

⇒ sin A = sin 30

⇒ A = 30.

Here, A is an acute angle.

Now,

(ii)

⇒ Sin A = sin 30

             = 1/2.

(iii)

⇒ Tan A = Tan 30

                = 1/√3.

⇒  cos A = cos 30

               = √3/2.

Hope this helps!