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将下列三角函数化为0到π/4之间角的三角函数:(1)cosπ/3 (2)sin3π/5 (3)sin(-1920°)

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将下列三角函数化为0到π/4之间角的三角函数:(1)cosπ/3 (2)sin3π/5 (3)sin(-1920°)
(1)cosπ/3=cos(π/2-π/6)=sinπ/6
(2)sin(3π/5)
=sin(π-2/5π)
=sin(2/5π)
=sin(π/2-π/10)
=cosπ/10
(3)1920°=32/3π
sin(-1920°)
=sin(-32/3π)
=-sin(10π+2/3π)
=-sin(2/3π)
=-sin(π/3)
=-cos(π/6)