Question

12. If A = 45°, verify that:
(i) sin 2A = 2 sin Acos A
(ii) cos 2A = 2 cos A-1=1-2 sin A​

Answer 1

Answer:

i) sin 2A = 2 sin A cos A

L.H.S. = sin 2A

          =  sin(2 x 45)

          =  sin 90°

         = 1

R.H.S. = 2sin A cos A

          = 2 sin 45° cos45°

          = 2 x 1/√2 x 1/√2

          = 2 x 1/2

          = 1

L.H.S. = R.H.S.

Hence, verified

Answer 2

Answer:

your second question is wrong .It will be cos² nd sin²