Question

cos theta equal to 21 upon 29 hai to sin theta ka man kya hoga ​

Answer 1

Answer:

sin theta = 29/20

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Answer 2

Step-by-step explanation:

Given : The value of $Cos\theta=\frac{21}{29}$ .

To find : the value of $Sin\theta$.

Formula used : We use trigonometric identity here,

$sin^2\theta+cos^2\theta=1$  

• Calculation for $Sin\theta$

We have

⇒  $Cos\theta=\frac{21}{29}$

so by using formula,

⇒  $sin^2\theta+cos^2\theta=1$

by rearranging this equation we get,

⇒  $sin^2\theta=1-cos^2\theta$

doing square root on both sides,

⇒  $sin\theta=\sqrt{1-cos^2\theta}$

by putting the value of $cos\theta$ we get,

⇒  $sin\theta=\sqrt{1-(\frac{21}{29})^{2} }$

            $=\sqrt{1-\frac{441}{841} }$

taking L.C.M as $841$ inside the square root,

            $=\sqrt{\frac{841-441}{841} }$

            $=\sqrt{\frac{400}{841} }$

as we know $\sqrt{400}=20$ and $\sqrt{841}}=29$

⇒  $sin\theta=\frac{20}{29}$

Hence we get the value of $sin\theta=\frac{20}{29}$ .