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Question

Evaluate each of the following

sin2 30° cos2 45° + 4 tan2 30° + 12 sin2 90°-2 cos2 90°+124 cos2 0°

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Solution

We have,

…… (1)

Now,

,, ,,

So by substituting above values in equation (1)

We get,

LCM of 8, 3, 2 and 24 is 48

Therefore by taking LCM

We get,

In the above equation the first term gets reduced to

Therefore,


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