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Question

The value of sin75+cos75 is

A
32
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B
12
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C
312
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D
3+12
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Solution

The correct option is A 32
sin75+cos75
=sin(45+30)+cos(45+30)
=sin45cos30+cos45sin30 +cos45cos30sin45sin30
=12×32+12×12+12×3212×12
=3+122+3122=32

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