求值:2sin50°+cos10°(1+根号3tan10°)/根号下1+2sin50°cos50°

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求值:2sin50°+cos10°(1+根号3tan10°)/根号下1+2sin50°cos50°

求值:2sin50°+cos10°(1+根号3tan10°)/根号下1+2sin50°cos50°
求值:2sin50°+cos10°(1+根号3tan10°)/根号下1+2sin50°cos50°

求值:2sin50°+cos10°(1+根号3tan10°)/根号下1+2sin50°cos50°
2sin50°+cos10°(1+根号3tan10°)/根号下1+2sin50°cos50°
=(2sin50°+cos10°(1+√3*tan10°))/√(sin^2 50°+2sin50°cos50°+cos^2 50°)
=(2sin50°+cos10°+√3sin10°)/√√(sin50°+cos50°)^2
=(2sin50°+2sin(10°+30°))/(sin50°+cos50°)
=2(sin50°+sin40°)/(sin50°+cos50°)
=2(sin50°+cos50°)/(sin50°+cos50°)
=2