Evaluate: sin60 cos30 + sin30 cos60
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Step-by-step explanation:
(sin 60° × cos 30°) + (sin 30° × cos 60°)
= {sin(90°- 30°) × cos30°} +
{sin 30° × cos(90°-30°)}
= { cos 30° × cos 30°} + {sin 30° × sin 30°}
= cos^2 (30°) + sin^2 (30°)
= 1
* you can use trigonometric identities or directly put the values of sin and cos for 30° and 60° and solve it. Both the ways are correct.
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