计算:√3sin(-20/3∏)-cos13/4π×tan(-37/4π)
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计算:√3sin(-20/3∏)-cos13/4π×tan(-37/4π)
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√3sin(-20/3π)-cos13/4π×tan(-37/4π)
=√3sin(-7π+1/3π)-cos(3π+1/4π)×tan(-9π-1/4π)
=-√3sin(1/3π)+cos(1/4π)×tan(-1/4π)
=-√3×(√3/2)+√2/2×(-1)
=-(3+√2)/2
=√3sin(-7π+1/3π)-cos(3π+1/4π)×tan(-9π-1/4π)
=-√3sin(1/3π)+cos(1/4π)×tan(-1/4π)
=-√3×(√3/2)+√2/2×(-1)
=-(3+√2)/2
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