Question

express the trigonometric ratios sin A,secA, tan A ,in terms of cot A

Answer 1

Hey there !

Solution:

Sin A in terms of Cot A

=> Cot A = Cos A / Sin A

=> Sin A = Cos A / Cot A

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Sec A in terms of Cot A

=> Cot A = Cos A / Sin A

=> Cot A = Cos A . Cosec A

=> Cot A = Cosec A / Sec A

=> Sec A = Cosec A . Cot A

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Tan A = Sin A / Cos A

Reciprocating on both sides we get,

=> 1 / Tan A = Cos A / Sin A

=> 1 / Tan A = Cot A

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Hope my answer helped !