ABC is a right isosceles triangle right angled at B. Then sin2A+cos2C=_____.
A
0
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B
12
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C
1√2
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D
1
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Solution
The correct option is D1 As the △ABC is a right isosceles with right angle at angle B, we have, ∠A=450;∠B=900;∠C=450 So, sin2A+cos2C=sin245+cos245=1 Using the identity sin2x+cos2x=1