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\begin { equation } \sin 60^{\circ} \cos 30^{\circ}+\sin 30^{\circ} \cos 60^{\circ} \end { equation }

Answer»

sin60cos30 + sin30cos60= (3½/2)(3½/2) + (1/2)(1/2)= 3/4 + 1/4= 4/4= 1.

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sin 60.cos 30 + sin 30.cos 60

We know [cos a = sin (90-a)] and [sin a = cos (90-a)]

= sin60.sin (90-30) + cos(90-30).cos 60= sin^2 60 + cos^2 60= 1



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