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Question

3cos2 60o + 2 cot2 30o 5 sin2 45o = ?

(a) 136 (a) 174 (c) 1 (d) 4

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Solution

Putting values of respective trigonometric ratios of given angles

3 open parentheses 1 half close parentheses squared plus 2 open parentheses square root of 3 close parentheses squared minus 5 open parentheses fraction numerator 1 over denominator square root of 2 end fraction close parentheses squared 3 over 4 plus 6 minus 5 over 2 equals 3 over 4 plus 7 over 2 equals fraction numerator 3 plus 14 over denominator 4 end fraction equals 17 over 4 equals a n s w e r


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Trigonometric Ratios of Specific Angles
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