Question

if sin theta = 5/18 than find the value of tan theta​

Answer 1

Step-by-step explanation:

sin thetha =5/18.

the value of tan theta is 5/12

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Answer 2

Given: Given that sinA=5/18

To find: We have to find the value of tanA.

Solution:

Given value of sinA is 5/18.

We know that

${sin}^{2}A + {cos}^{2}A = 1$

Putting the value of sinA we get the value of cosA.

$\frac{25}{324} + {cos}^{2}A = 1 \\ {cos}^{2}A = 1 - \frac{25}{324} \\ {cos}^{2}A = \frac{299}{324} \\ {cos}A = \frac{ \sqrt{299} }{18}$

Now tanA is a ratio of sinA to cosA.

$tanA = \frac{sinA}{cosA}$

Putting the value of sinA and cosA we get-

$tanA = \frac{ \frac{5}{18} }{ \frac{ \sqrt{299} }{18} } \\ = \frac{5}{ \sqrt{299} }$

The value of tanA is $\frac{5}{ \sqrt{299} }$.