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Question

If sin13x+sin14x=π2, then x is equal to

A
3
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B
5
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C
7
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D
11
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Solution

The correct option is A 5
Given that, sin13xsin14x=π2
Therefore, sin13x=π2sin14x
sin13x=cos14x
sin13x=sin1x216x
3x=x216x
9=x216
x2=25
x=±5
x=5 ....(5 is not satisfied the given equation)

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