Math, asked by mdbilal1159, 2 months ago

Express the trigonometry ratio please answer me....​

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Answered by saiprasadrajana
1

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Answered by SakshamKumarthegreat
3

\large\bf{\underline{\color{indigo} GiVeN,}} \\

Express the trigonometric ratios sin A,sec A and tan A in terms of cot A

\large\bf{\underline{\color{indigo} Options,}} \\

(a) \: sin \: a \:  =  \:  \frac{1}{ \sqrt{cot \: a \:  +  \: 1}} \\ sec \: a \:  =  \:   \frac{ \sqrt{ {cot}^{2} a + 1} }{cot \: a}  \\tan \: a \:  =  \:  \frac{1}{cot \: a}

(b) \: sin \: a \:  =  \frac{1}{ \sqrt{ {cot}^{2} a + 1} }  \\ sec  \: a = \frac{ \sqrt{ {cot}^{2} a + 1} }{cot \: a}   \\ tan \: a \:  =  \frac{1}{cot \: a}

(c) \: sin \: a \:  =  \:  \frac{1}{ \sqrt{cot \: a - 1} }  \\ sec \: a =  \:  \frac{ \sqrt{ {cot}^{2} a + sin  \: a} }{cot \: a} \\ tan \: a \:  =  \frac{1}{cot \: a}

(d) None of these

\large\bf{\underline{\color{indigo} Required Answer,}} \\

Answer in attachment, Done in laptop and phots attached, so please see the steps and understand.

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