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Question

Evaluate each of the following

tan2 60°+4 cos2 45°+3 sec2 30°+5 cos2 90°cosec 30°+sec 60°-cot2 30°

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Solution

We have,

…… (1)

Now,

, , , , ,

So by substituting above values in equation (1)

We get,

Now,

3 gets cancel in numerator and we get,

Now, in the numerator get reduced to 2and we get,

Therefore,


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