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Question

If cosωsinω=2sinω then cosω+sinω=2cosω

A
True
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B
False
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Solution

The correct option is A True

cosωsinω=2sinω

cosω=(2+1)sinω

cosω=(2+1)(2+1)21sinω

2cosωcosω=(21)sinω

cosω+sinω=2cosω


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