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问题: 三角比

设tan1234度=a,那么sin(-206度)+cos(-206度)的值为?

解答:

设tan1234°=a,那么sin(-206°)+cos(-206°)的值为?

省略°

1234 = 3*360 + 154
-206 = -360 + 154
tan1234 = tan154 = a<0
--->sec²154 = 1+tan²154 = 1+a²
--->cos154 = -√(1+a²)
--->sin154 = tan154*cos154 = -a√(1+a²)
--->sin(-206)+cos(-206) = sin154+cos154 = -(1+a)√(1+a²)