[" Example "7.2sin A cos^(3)A-2sin^(3)A cos A=],[qquad [(a)sin4A," (b) "(1)/(2)sin4A," (c) "(1)/(4)sin4A," (d) None of these "]]

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sin4A=4cos^(3)A sin A-4sin^(3)A cos A

2 sin A cos ^(3) A-2 sin ^(3) A cos A= ................. A) sin 4A B) 1/2 sin 4 A C) 1/4 sin 4A D) 1/8 sin 4A

sin4A = 4sin A cos ^ (3) A-4cos A sin ^ (3) A

cos^4A-sin^4A is equal to (a) 2cos^2A+1 (b) 2cos^2A-1 (c) 2sin^2A-1 (d) 2sin^2A+1

cos^(4)A-sin^(4)A is equal to 2cos^(2)A+1(b)2cos^(2)A-1(c)2sin^(2)A-1( d) 2sin^(2)A+1

2sin ^ (2) A + cos ^ (4) A-1 + sin ^ (4) 4

If cos A+cos^(2)A=1, then sin^(2)A+sin^(4)A=-1(b)0(c)1(d) None of these

If cosA+cos^2A=1 , then sin^2A+sin^4A= (a) -1 (b) 0 (c) 1 (d) None of these

sin4A = 4sin A * cos ^ (3) A-4cos A * sin ^ (3) A

sin^4A-cos^4A=2sin^2A-1=1-2cos^2A=sin^2A-cos^2A