Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If $sin \theta = \frac{4}{5}$, find the value of sin3θ.

Options:

$\frac{32}{45}$

$\frac{44}{125}$

$\frac{64}{125}$

$\frac{12}{25}$

Correct Answer:

$\frac{44}{125}$

Explanation:

we know,

sin3θ = 3sinθ - 4sin³θ 

Given:-

sinθ  = \(\frac{4}{5}\)

sin3θ = 3 ×  \(\frac{4}{5}\) - 4 × (\(\frac{4}{5}\))³

= \(\frac{12}{5}\) - \(\frac{256}{125}\)

= \(\frac{300 - 256}{125}\)

= \(\frac{44}{125}\)