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Question

If (sinx+cosx=a), then 1+2sinxcosx=a2


A
True
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B

False

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Solution

The correct option is A True

We are given sinx+cosx=a.
We have to check if 1+2sinxcosx=a2.
For that,

(sinx+cosx)2 = a2

sin2x+cos2x+2sinxcosx = a2

1+2sinxcosx = a2

Hence, if (sinx+cosx=a), then 1+2sinxcosx=a2


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