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Question

Simplify: cos45°÷(sec30°+cosec30°)

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Solution

We know that,

cos45=12

sec30=23

cosec30=2

cos45°÷(sec30°+cosec30°)=12÷(23+2)

=12÷(2+233)

=12×32+23

=322+26

=322+26×22262226

=2662824

=3268


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