四个以79.(258x+108)为弧度的三角函数图像对比

以79/(258x+108)为弧度的四个三角函数图像对比主要内容：本文主要介绍以79/(258x+108)为弧度的四个三角函数，即y=sin[79/(258x+108)]，y=cos[79/(258x+108)]，y=tan[79/(258x+108)]，y=cgt[79/(258x+108))]的函数性质及图像示意图。以eq\f(79,258x+108)为弧度的四个三角函数图像对比※.正弦函数y=sineq\f(79,258x+108)的图像☆.函数的定义域：因为y=sineq\f(79,258x+108)，正弦函数的定义域为全体实数，又y₁=eq\f(79,258x+108)自变量x在分母中，则有258x+108≠0，即x≠-eq\f(18,43)≈-0.42，所以函数的定义域为：(-∞,-eq\f(18,43))∪(-eq\f(18,43),+∞)。☆.函数的五点图：以eq\f(79,258x+108)∈[-2π,2π]上为例：x-0.47-0.47-0.48-0.50-1.390.56eq\f(79,258x+108)-2π-1.75π-1.5π-1.25π-π-0.75πsineq\f(79,258x+108)00.70710.7070-0.707x-0.61-0.81-1.390.56-0.03-0.22eq\f(79,258x+108)-0.5π-0.25π-0.1π0.1π0.25π0.5πsineq\f(79,258x+108)-1-0.707-0.310.310.7071x-0.29-0.32-0.34-0.35-0.36-0.37eq\f(79,258x+108)0.75ππ1.25π1.5π1.75π2πsineq\f(79,258x+108)0.7070-0.707-1-0.7070☆.函数的示意图以eq\f(79,258x+108)∈[-2π,2π]上为例:y=sineq\f(79,258x+108)。y(-0.48,1)(-0.22,1)(-0.03,0.707)(-0.50,0.707)(0.56,0.31)(-1.39,-0.31)x(-0.81,-0.707)(-1.39,-0.707)(-0.61,-1)(-0.50,-1)※.余弦函数y=coseq\f(79,258x+108)的图像☆.函数的定义域：因为y=coseq\f(79,258x+108)，余弦函数的定义域为全体实数，又y₁=eq\f(79,258x+108)自变量x在分母中，则有258x+108≠0，即x≠-eq\f(18,43)≈-0.42，所以函数的定义域为：(-∞,-eq\f(18,43))∪(-eq\f(18,43),+∞)。☆.函数的五点图：以eq\f(79,258x+108)∈[-2π,2π]上为例：x-0.47-0.47-0.48-0.50-1.390.56eq\f(79,258x+108)-2π-1.75π-1.5π-1.25π-π-0.75πcoseq\f(79,258x+108)10.7070-0.707-1-0.707x-0.61-0.81-1.390.56-0.03-0.22eq\f(79,258x+108)-0.5π-0.25π-0.1π0.1π0.25π0.5πcoseq\f(79,258x+108)0-0.7070.950.950.7071x-0.29-0.32-0.34-0.35-0.36-0.37eq\f(79,258x+108)0.75ππ1.25π1.5π1.75π2πcoseq\f(79,258x+108)-0.707-1-0.70700.7071☆.函数的示意图以eq\f(79,258x+108)∈[-2π,2π]上为例：y=coseq\f(79,258x+108)。(-1.39,0.95)(-0.47,1)(-0.37,1)(0.56,0.95)(-0.47,0.707)(-0.03,0.707)x(-0.81,-0.707)(-1.39,-1)(-0.32,-1)※.正切函数y=taneq\f(79,258x+108)的图像☆.函数的定义域：因为y=taneq\f(79,258x+108)，要求eq\f(79,258x+108)≠kπ+eq\f(π,2)，即：x≠eq\f(158,258*(2k+1)π)-eq\f(18,43)，又y₁=eq\f(79,258x+108)有258x+108≠0，即x≠-eq\f(18,43)≈-0.42，所以函数的定义域为：{x|x≠{eq\f(158,258*(2k+1)π)-eq\f(18,43),，x∈R，k∈Z}。☆.函数的五点图：以eq\f(79,258x+108)∈[-2.5π，2.5π]上为例：x-0.46-0.47-0.48-0.49-0.52-0.58eq\f(79,258x+108)-2.4π-2π-1.6π-1.4π-π-0.6πtaneq\f(79,258x+108)-3.0803.08-3.0803.08x-0.66-0.81-1.390.56-0.03-0.17eq\f(79,258x+108)-0.4π-0.25π-0.1π0.1π0.25π0.4πtaneq\f(79,258x+108)-3.08-1-0.320.3213.08x-0.26-0.32-0.35-0.36-0.37-0.38eq\f(79,258x+108)0.6ππ1.4π1.6π2π2.4πtaneq\f(79,258x+108)-3.0803.08-3.0803.08☆.函数的五点图：以eq\f(79,258x+108)∈[-2.5π，2.5π]上为例：y=taneq\f(79,258x+108)y(-0.58,3.08)(-0.17,3.08) (-0.03,1)(0.56,0.32)x(-1.39,-0.32)(-0.81,-1)(-0.66,-3.08)(-0.26,-3.08)※.余切函数y=ctgeq\f(79,258x+108)的图像☆.函数的定义域：因为y=ctgeq\f(79,258x+108)，余切函数的定义域要求eq\f(79,258x+108)≠kπ+π，即：x≠eq\f(79,258*(k+1)π)-eq\f(18,43),又y₁=eq\f(79,258x+108)自变量x在分母中，则有258x+108≠0，即x≠-eq\f(18,43)≈-0.42，所以函数的定义域为：{x|x≠eq\f(79,258*(k+1)π)-eq\f(18,43)，x∈R，k∈Z}。☆.函数的五点图：以eq\f(79,258x+108)∈[-2π，2π]上为例：x-0.47-0.48-0.51-0.53-0.61-0.81eq\f(79,258x+108)-1.9π-1.5π-1.1π-0.9π-0.5π-0.25πctgeq\f(79,258x+108)3.080-3.083.080-1x-1.390.56-0.03-0.22-0.29-0.31eq\f(79,258x+108)-0.1π0.1π0.25π0.5π0.75π0.9πctgeq\f(79,258x+108)-3.083.0810-1-3.08x-0.33-0.34-0.35-0.36-0.37eq\f(79,258x+108)1.1π1.25π1.5π1.75π1.9πctgeq\f(79,258x+108)3.08101-3.08☆.函数的五点图：以eq\f(79,258x+108)∈[-2π，2π]上为例：y=ctgeq\f(79,258x+108)， y(-0.53,