Question

cos 60⁰=cos² 30⁰-sin² 30⁰​

Answer 1

From RHS,

(√3/2)^2-(1/2)^2

=>3/4-1/4

=>3-1/4

=>2/4

=>1/2=cos 60°

Answer 2

${ \cos60 }^{0} = { \cos}^{2} {30}^{0} - { \sin }^{2} {30}^{0} \\ R.H.S \\ { \cos}^{2} {30}^{0} - { \sin }^{2} {30}^{0} \\ = ( { \frac{ \sqrt{3} }{2} }^{2} ) - ( { \frac{1}{2} }^{2} ) \\ = \frac{3}{4} - \frac{1}{4} \\ = \frac{3 - 1}{4} \\ = \frac{2}{4} \\ = \frac{1}{2} \\ = \cos {60}^{0} \\ = (Proved )$

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