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Question

If sinα=35 and cosβ=45,then the value of sin(α+β)

A
625
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B
1225
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C
2425
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D
none of these
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Solution

The correct option is A 2425
sinα=35,cosβ=45sin(α+β)=sinαcosβ+cosαsinβ=35×45+1sin2α1cos2β=1225+192511625=1225+45×35=1225+1225=2425

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