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QUESTION
Q
The value of 152(Sin 30° + 2Cos2 45° + 3Sin 30° + 4Cos2 45° +…….+17Sin 30° + 18Cos2 45°) is
Solution
Given expression 152(Sin 30° + 2Cos2 45° + 3Sin 30° + 4Cos2 45° +…….+17Sin 30° + 18Cos2 45°)
Sin 30° = 1/2 and Cos2 45° = (1/√2)2 = 1/2
⇒ Sin 30° =...
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Solution
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Keynote
Cos 45° = 1/√2
Sin 30° = 1/2
Sum of n natural numbers = (n × (n + 1))/2
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