Question

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If tan thetha=2
then find cos theta.​

Answer 1

Answer:

$\boxed{ cos \ \theta=\frac{1}{\sqrt{5}} }$

Step-by-step explanation:

$tan \ \theta=2\\\\tan \ \theta=\frac{opp.side \ of \ angle}{adj. side \ of \ angle}=\frac{2}{1} \\\\ in \ right \ angled \ triangle, \\ hyp^2=side_1^2+side_2^2 \\ hyp^2=2^2+1^2 \\ hyp^2=4+1\\hyp^2=5\\hypotenuse=\sqrt{5}\\\\=> cos \ \theta=\frac{adj,side \ of \ angle}{hypotenuse}\\\\ => cos \ \theta=\frac{1}{\sqrt{5}}$