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1.已知函数发f(x)=asinx+btanx+1满足f(5)=7,则f(-5)的值为( )
2.f(cosx=cos3x,那么f(sin30度)的值为( )
人气:164 ℃ 时间:2020-06-19 20:47:31
解答
1.f(x)=asinx+btanx+1
=> f(x) - 1 = asinx + btanx
令h(x)= f(x) - 1
h(-x) = a(sin(-x))+ b(tan(-x))
= -asinx - btanx
= - h(x)
=> h(-5)= f(-5) - 1 (1)
h(-5)= -h(5) = - (f(5)-1) = -(7 - 1)= -6 (2)
(1)(2) => f(-5) = -5
2.f(sin30度) = f(cos60度)= cos (3*60度)=cos 180度 = -1
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