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Evaluate each...

Question

Evaluate each of the following

cos² 30° + cos² 45° + cos² 60° + cos² 90°

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Solution

We have to find the following expression

…… (1)

Now,

,, ,

So by substituting above values in equation (1)

We get,

Now by taking denominator 4 together and simplifying

We get,

Now by taking LCM

We get,

Therefore,

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