Question

cot theta =1/3 all=?​

Answer 1

$\cot( \alpha ) = \frac{1}{3} = \frac{b}{p}$

$h {}^{2} = {b}^{2} + {p}^{2} \\ \\ h {}^{2} = 1 {}^{2} + 3 {}^{2} \\ \\ {h}^{2} = 1 + 9 \\ \\ {h}^{2} = 10 \\ \\ {h } = \sqrt{10}$

$\sin( \alpha ) = \frac{3}{ \sqrt{10} }$

$\cos( \alpha ) = \frac{1}{ \sqrt{10} }$

$\tan( \alpha ) = \frac{3}{1} = 3$

$\sec( \alpha ) = \frac{ \sqrt{10} }{1} = \sqrt{10}$

$\csc( \alpha ) = \frac{ \sqrt{10} }{3}$

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