高中数学,求解析
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2)=[2sin50+2sin10/cos10*(sin30cos10+cos30sin10)]*√2sin80
=[2sin50+2sin10*sin40/cos10]*√2sin80
=2√2(sin50cos10+sin10cos50)
=√6
3)设t=x+10°,则有
y=sint+cos(t+30)
=sint+costcos30-sintsin30
=sintsin30+costcos30
=cos(t-30)
=cos(x-20)
值域[-1,1],最大值1
2)=[2sin50+2sin10/cos10*(sin30cos10+cos30sin10)]*√2sin80
=[2sin50+2sin10*sin40/cos10]*√2sin80
=2√2(sin50cos10+sin10cos50)
=√6
3)设t=x+10°,则有
y=sint+cos(t+30)
=sint+costcos30-sintsin30
=sintsin30+costcos30
=cos(t-30)
=cos(x-20)
值域[-1,1],最大值1
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