Question

(sin30°+cos30°)-(sin60°+cos60°) ka maan kya Hoga

Answer 1

Answer:

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${ \tt{ (sin(30) + \cos(30) ) -( \sin(60) + ( \cos(60) ) }}$

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${ \to{ \tt{ (\frac{1}{2} + \frac{ \sqrt{3} }{2} ) - ( \frac{ \sqrt{3} }{2} + \frac{1}{2}) }}}$

${ \to{ \tt{ (\frac{1 + \sqrt{3} }{2} ) - (\frac{ \sqrt{3} + 1}{2} )}}}$

${ \to{ \tt{ \frac{1 + 1 + \sqrt{3} - \sqrt{3} }{2} }}}$

${ \tt{ \to{ \frac{2 + 0}{2} }}}$

${ \to{ \tt{ \frac{2}{2} }}}$

${ \tt{ \to{{ \cancel{ \frac{2}{2} }} = 1}}}$

${ \therefore{ \tt{(sin30°+cos30°)-(sin60°+cos60°) = 1}}}$

Step-by-step explanation:

${ \boxed{ \to{ \sin(30) = \frac{1}{2} }}}$

${ \boxed{ \to{ \cos(30) = \frac{ \sqrt{3} }{2} }}}$

${ \boxed{ \to{ \sin(60) = \frac{ \sqrt{3} }{2} }}}$

${ \boxed{ \to{ \cos(60) = \frac{1}{2} }}}$