Write Trigno. Ratio of Sin A in terms of Cot A .

1.	Write Trigno. Ratio of Sin A in terms of Cot A .
Answer» We have to express the trigonometric ratio\xa0sin A in terms of cot A.For sin A,By using identity {tex}cosec ^ { 2 } A - \\cot ^ { 2 } A = 1{/tex}{tex}\\Rightarrow cosec ^ { 2 } A = 1 + \\cot ^ { 2 } A{/tex}{tex}\\Rightarrow \\frac { 1 } { \\sin ^ { 2 } A } = 1 + \\cot ^ { 2 } A{/tex}{tex}\\Rightarrow \\sin ^ { 2 } A = \\frac { 1 } { 1 + \\cot ^ { 2 } A }{/tex}{tex} \\Rightarrow \\quad \\sin A = \\frac { 1 } { \\sqrt { 1 + \\cot ^ { 2 } A } }{/tex}\xa0

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