Attempt following question by selecting a choice to answer.
e
Find the value of
(sin A + cos A)2 in terms of
sin 2A.e eA.
e 1 + sin 2A
B.
e1
C.
e 1 - sin 2A
D.
e sin 2A
e
A
Step 1: (sin A + cos A)2 = sin2A + 2sin A cos A + cos2A[Use (a + b)2 = a2 + 2ab + b2.]
Step 2: = (sin2A + cos2A) + 2sin A cos A = 1 + sin 2A[Use sin2A + cos2A = 1; 2sin A cos A = sin 2A.]