Question

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2.
3.
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Answer (Detailed Solution Below)

Option 3 : 3/5 / 3/5

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Detailed Solution

सही उत्तर 3/5 / 3/5 है।

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Question:

If $\tan \theta = 3/4$ for an acute angle $\theta$, what is the value of $\sin \theta$? / यदि न्यूनकोण $\theta$ के लिए $\tan \theta = 3/4$ हो, तो $\sin \theta$ का मान क्या है?

1.
4/5 / 4/5
2.
4/3 / 4/3
3.
3/5 / 3/5
4.
5/3 / 5/3

Correct Answer: 3/5 / 3/5

With opposite side 3 and adjacent side 4, hypotenuse $= \sqrt{3^2 + 4^2} = 5$; $\sin \theta = \frac{\text{opposite}}{\text{hypotenuse}} = \frac{3}{5}$. / सम्मुख भुजा 3 और आसन्न भुजा 4 होने पर, कर्ण $= \sqrt{9+16} = 5$; $\sin \theta = \frac{3}{5}$।

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