Question

if sin theta is equal to 1 by 3 then cos theta will be

Answer 1

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Answer 2

The value of $\cos\theta$ is $\dfrac{2\sqrt2}{3}$.

Explanation:

Given that, $\sin\theta=\dfrac{1}{3}$

We know that the trigonometric identity is :

$\sin^2\theta+\cos^2\theta=1\\\\\cos^2\theta=1-\sin^2\theta\\\\\cos^2\theta=1-(\dfrac{1}{3})^2\\\\\cos^2\theta=1-\dfrac{1}{9}\\\\\cos\theta=\dfrac{2\sqrt2}{3}$

So, the value of $\cos\theta$ is $\dfrac{2\sqrt2}{3}$.

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Trigonometry