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Question

If sin2A=12 and sin2B=12, then which one of the following is false

A
sin (A + B) may be 0
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B
cos (A - B) may be zero
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C
sin(A + B) or cos (A - B) is zero
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D
sin (A + B) = 0
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Solution

The correct option is D sin (A + B) = 0
sin2A=12,sin2B=12
sin2A + sin 2B = 0
2sin(A + B) cos (A - B) = 0
Sin(A + B) = 0 or cos(A - B) = 0

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