Question

Express the trignimetry ratios sin A,sec A and tan A in terms of cot A.​

Answer 1

Answer:

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Step-by-step explanation:

$\tan( \alpha ) = \frac{1}{ \cot( \alpha ) }$

$\sin( \alpha ) = \frac{1}{ \csc( \alpha ) } = \frac{1}{ \sqrt{ { \ \csc( \alpha ) }^{2} } } = \frac{1}{ \sqrt{1 + { \cot( \alpha ) }^{2} } }$

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