sin 15° · cos 30° + cos 15° · sin 30°
A= 1
B=1/2
с=root 3/2
D 0
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Answer:
sin15°.cos30°+cos15°.sin30°
sin(60-45) °.√3/2+cos(60-45) °.1/2
(sin60°cos45°-cos60°sin45°). √3/2+(cos60°cos45°+sin60°sin45°).1/2
(√3/2.1/√2-1/2.1/√2). √3/2+(1/2.1/√2+√3/2.1/√2). 1/2
(√3/2√2-1/2√2). √3/2+(1/2√2+√3/2√2). 1/2
(√3-1) /2√2.√3/2+(√3+1) /2√2.1/2
√3(√3-1) /4/√2+(√3+1) /4√2
(3-√3+√3+1) /4√2
4/4√2
1/√2
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