Question

if alpha + beta=pi/2 and sin alpha =1/2 then find the value of beta​

Answer 1

$\huge\tt{\bold{\underline{\underline{Question᎓}}}}$

if alpha + beta=pi/2 and sin alpha =1/2 then find the value of beta

$\huge\tt{\bold{\underline{\underline{Answer᎓}}}}$

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$= > \sin( \alpha ) = \frac{1}{2}$

=>we know that 1/2 is the value of sin30°(pie/6)

$= > \sin( \alpha ) = sin \frac{\pi}{6}$

$\bold{\boxed{\red{= > \alpha = \frac{\pi}{6}}}}$

$= > \alpha + \beta = \frac{\pi}{2}$

$= > \frac{\pi}{6} + \beta = \frac{\pi}{2}$

$= > \beta = \frac{\pi}{2} - \frac{\pi}{6} = \frac{3\pi - \pi}{6}$

$= > \frac{2\pi}{6} = \frac{\pi}{3}$

$\bold{\boxed{\red{= > \beta = \frac{\pi}{3}}}}$

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