Question

यदि साइन ए बराबर 3 बटा 4 तो कॉस ए और tan a का मान परिकलित कीजिए और

Answer 1

Answer:

$sina = \frac{3}{4} \\ \\ cosa = \sqrt{1 - { (\frac{3}{4} )}^{2} } = \sqrt{1 - \frac{9}{16} } = \frac{ \sqrt{7} }{4} \\ \\ tana = \frac{3}{ \sqrt{7} }$

Answer 2

$\cos A= \dfrac{\sqrt{7} }{4}$and $\tan A = \dfrac{3}{\sqrt{7} }$

Explanation:

Given,

$\sin A=\dfrac{3}{4}$

To find$\cos A$= ? and $\tan A =?$

$\sin A=\dfrac{3}{4} = \dfrac{p}{h}$

∴ $b = \sqrt{h^{2}-p^{2} } = \sqrt{4^{2}-3^{2} } =\sqrt{7}$

∴ $\cos A=\dfrac{b}{h} = <strong>\dfrac{\sqrt{7} }{4}$

and

$\tan A=\dfrac{p}{b} =<strong> \dfrac{3}{\sqrt{7} }$

Hence,$\cos A= \dfrac{\sqrt{7} }{4}$and $\tan A = \dfrac{3}{\sqrt{7} }.$