Question

जर cos θ= $\frac{15}{17}$ तर sin θ काढा.

Answer 1

जर cos θ= $\frac{15}{17}$ तर sin θ काढा.

Question in English : If cos θ = $\frac{15}{17}$, then find sin θ.

Solution :

We know that,

$\tt{sin {}^{2} \theta + cos {}^{2} \theta = 1}$

$\tt{sin {}^{2} \theta + ( \frac{15}{17}) {}^{2} = 1}$

$\tt{sin {}^{2} \theta = 1 - \frac{225}{289}}$

$\tt{sin {}^{2} \theta = \frac{289 - 225}{289}}$

$\tt{sin {}^{2} \theta = \frac{64}{289}}$

$\tt{sin \theta = \sqrt{ \frac{64}{289}} }$

$\tt{sin \theta = \frac{8}{17}}$

This is the answer.

Answer 2

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