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Question

Find the value of 1sin23001cos2300

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Solution

We know that,
sin2θ+cos2θ=1

sin2θ=1cos2θ ---(1)

cos2θ=1sin2θ ---(2)

Now,

1sin23001cos2300

=cos230sin230 [Since, from (1) and (2)]

=cot230
=cot30
=3

1sin23001cos2300=3.


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