y=sin(2x-π/6)-3cos(2x-π/6)的值域要不要化成 sin2x*cosπ/6-cos2x*sinπ/6-3cos2x*cosπ/6+sin2x*sinπ/6?然后取多少2kπ-π/2?

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y=sin(2x-π/6)-3cos(2x-π/6)的值域要不要化成 sin2x*cosπ/6-cos2x*sinπ/6-3cos2x*cosπ/6+sin2x*sinπ/6?然后取多少2kπ-π/2?
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y=sin(2x-π/6)-3cos(2x-π/6)的值域要不要化成 sin2x*cosπ/6-cos2x*sinπ/6-3cos2x*cosπ/6+sin2x*sinπ/6?然后取多少2kπ-π/2?
y=sin(2x-π/6)-3cos(2x-π/6)的值域
要不要化成 sin2x*cosπ/6-cos2x*sinπ/6-3cos2x*cosπ/6+sin2x*sinπ/6?然后取多少2kπ-π/2?

y=sin(2x-π/6)-3cos(2x-π/6)的值域要不要化成 sin2x*cosπ/6-cos2x*sinπ/6-3cos2x*cosπ/6+sin2x*sinπ/6?然后取多少2kπ-π/2?
设:√10 / 10 =cosθ
则:sinθ = 3√10 / 10
y = sin(2x - π/6) - 3cos(2x - π/6)
= √10[sin(2x - π/6) cosθ- 3cos(2x - π/6)sinθ]
= √10sin(2x - π/6 - θ)
y=sin(2x-π/6)-3cos(2x-π/6)的值域:[-√10 ,√10]