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sneha jha Grade: Upto college level
        What is the value of cot 15o + cot 75o + cot 135o - cosec 30o?


8 years ago

Jitender Singh
IIT Delhi
158 Points
										Ans:1$A = cot15 + cot 75 + cot135 - cosec30$$cot75 = cot(90-15) = tan15$$A = cot15 + tan15 + cot135 - cosec 30$$tan15 = tan(45-30) = \frac{tan45 - tan30}{1+ tan45.tan30} = \frac{1-(3)^{-1/2}}{1+(3)^{1/2}}$$tan15 = \frac{3^{1/2}-1}{3^{1/2}+1}$$A = (\frac{3^{1/2}+1}{3^{1/2}-1}) + (\frac{3^{1/2}-1}{3^{1/2}+1}) + (-1) - (2)$$A = 1$Thanks & RegardsJitender SinghIIT DelhiaskIITians Faculty

3 years ago
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