This is the basic and conceptual question from trigonometry (trigonometric ratios) in which we have to find the value of sin 60° cos 30° + sin 30° cos 60°
RS Aggarwal, Class 10, chapter 11, question no 11.
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Given
sin60∘cos30∘+cos60∘sin30∘
=(√/2)(√3/2)+(1/2)(1/2) [∵cos30∘=sin60∘=√3/2, sin30∘=cos60∘=1/2]
=(√3/2)^2+(1/2)^2
=3/4 + 1/4
=4/4
=1