tan θ = 3 / 4 হলে sin θ এর মান কত?

tan θ = 3 / 4 হলে sin θ এর মান কত? ?

Created: 1 year ago | Updated: 2 months ago | Created By:

Ahsanur Rahman

5/3

3/5

4/3

5/4

0 12

Institution: SONALI BANK LTD Exam: Sonali Bank Ltd - Sub-Assistant Engineer (Mechanical) - 30.09.2016 ||
Topic: Arithmetic Mathematics (পাটিগণিত), Subject: Mathematics (সাধারণ গণিত)

Best Answer Explained in Below-:

To determine the value of \( \sin \theta \) when \( \tan \theta = \frac{3}{4} \), we can use the definitions of the trigonometric functions. The tangent of an angle is defined as the ratio of the opposite side to the adjacent side. Therefore, we can let the opposite side be 3 and the adjacent side be 4, forming a right triangle.

Next, we need to find the hypotenuse \( h \) using the Pythagorean theorem:

\[
h = \sqrt{(\text{opposite})^2 + (\text{adjacent})^2} = \sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5.
\]

Now we can calculate \( \sin \theta \), which is defined as the ratio of the opposite side to the hypotenuse:

\[
\sin \theta = \frac{\text{opposite}}{\text{hypotenuse}} = \frac{3}{5}.
\]

Thus, the value of \( \sin \theta \) is \( \frac{3}{5} \), confirming that the correct option is B) \( \frac{3}{5} \).

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tan θ = 3 / 4 হলে sin θ এর মান কত? ?

৬০ লিটার পানিও চিনির মিশ্রনের অনুপাত ৭ঃ৩ । ঐ মিশ্রণে আর কত লিটার চিনি মিশালে অনুrfপত ৩ঃ৭ হবে?

দুটি সংখ্যার অনুপাত ৫ঃ৬ অনুপাত ৫ঃ৬ এবং তাদের গ.সা.গু ৪ হলে, চোট সংখ্যাটি কত?

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