[2sin50°+sin10°（1+√3tan10°）]*√2（sin80°)*(sin80度)

[2sin50°+sin10°（1+√3tan10°）]*√2（sin80°)*(sin80度)
=[2sin50°*sin80°+sin10°*cos10°（cos10°+√3sin10°）/cos10°]*√2（sin80°)
=[2sin50°*sin80°+2sin10°（1/2cos10°+√3/2sin10°）]*√2（sin80°)
=[2sin50°*sin80°+2sin10°sin(30°+10°)]*√2（sin80°)
=[2sin50°*sin80°+2sin10°sin40°]*√2（sin80°)
=[2sin50°*cos10°+2sin10°cos50°]*√2（sin80°)
=2[sin60°]*√2（sin80°)
=√6sin80°

[2sin50°+sin10°（1+√3tan10°）]*√2（sin80°)*(sin80度)
=[2sin50°*sin80°+sin10°*cos10°（cos10°+√3sin10°）/cos10°]*√2（sin80°)
=[2sin50°*sin80°+2sin10°（1/2cos10°+√3/2sin10°）]*√2（sin80°)
=[2sin50°*sin...