If $sinθ =\frac{8}{17}$ then find

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If $sinθ =\frac{8}{17}$ then find the value of tanθ.

Options:

$\frac{15}{17}$

$\frac{8}{15}$

$\frac{15}{8}$

$\frac{17}{15}$

Correct Answer:

$\frac{8}{15}$

Explanation:

sinθ = $\frac{8}{17}$

P = 8 & H = 17

Using pythagoras theorem

P² + B² = H²

8² + B² = 17²

B = 15

So , tan θ = $\frac{P}{B}$ = $\frac{8}{15}$