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Question

The value of 4(cos²60°+cos²45°)-sin²30° is


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Solution

Put the value of cos60°,cos45°,sin30° in 4(cos²60°+cos²45°)-sin²30° and simplify to get the result

We know that cos60°=12,cos45°=12,sin30°=12

4(cos²60°+cos²45°)-sin²30°=4122+122-122=414+12-14=41+24-14=434-14=124-14=12-14=1144(cos²60°+cos²45°)-sin²30°=114


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