已知f(x)=1-sinx+cosx/cosx,求定义域和若a是第四象限角,且tana=-4/3,求f(a)的值
人气:223 ℃ 时间:2020-02-03 08:46:23
解答
f(x)=(1-sinx+cosx) / cosx
分母不为零:
cosx ≠ 0
定义域:x ≠ kπ ± π/2 ( k∈Z)
a是第四象限角
tana=-4/3
cosa = 1/根号[1+tan^2a] = 1/根号[1 + (-4/3)^2 ] = 3/5
f(a)=(1-sina+cosa) / cosa
=1/cosa - tana + 1
=1/(3/5) -(-4/3) +1
=4
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