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Question

Evaluate each of the following

sin 30°sin 45°+tan 45°sec 60°-sin 60°cot 45°-cos 30°sin 90°

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Solution

We have,

…… (1)

Now,

,, ,, ,

So by substituting above values in equation (1)

We get,

Now by further simplifying

We get,

Since,

Therefore,

Now, one gets cancelled and

We get,

Now, by taking LCM

We get,

Therefore,


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