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Question

In any ΔABC where B=90 , sin2A + cos2C = 1.


A

True

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B

False

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Solution

The correct option is B

False


Given that, sin2A + cos2C=1

But, we know that sin2C + cos2C =1

if sin2A+cos2C=1, then A=C

But, A=C only if ABC is isosceles.

Therefore, the above statement is not always true.


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