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Question

If 0<x<π2 and cosx=0.34, find the value of sin(x2).

A
0.574
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B
0.733
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C
0.819
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D
0.917
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E
0.941
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Solution

The correct option is A 0.574
Given, cosx=0.34
We know cosx=12sin2x2=0.34
2sin2x2=0.66
sin2x2=0.33
sinx2=0.33=0.574

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