以207.(139x+140)为弧度的三角函数图像对比

以207/(139x+140)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207/(139x+140)为弧度的四个三角函数，即y=sin[207/(139x+140)]，y=cos[207/(139x+140)]，y=tan[207/(139x+140)]，y=cgt[207/(139x+140))]的函数性质及图像示意图。以eq\f(207,139x+140)为弧度的四个三角函数图像对比※.正弦函数y=sineq\f(207,139x+140)的图像☆.函数的定义域：因为y=sineq\f(207,139x+140)，正弦函数的定义域为全体实数，又y₁=eq\f(207,139x+140)自变量x在分母中，则有139x+140≠0，即x≠-eq\f(140,139)≈-1.01，所以函数的定义域为：(-∞,-eq\f(140,139))∪(-eq\f(140,139),+∞)。☆.函数的五点图：以eq\f(207,139x+140)∈[-2π,2π]上为例：x-1.24-1.28-1.32-1.39-5.753.73eq\f(207,139x+140)-2π-1.75π-1.5π-1.25π-π-0.75πsineq\f(207,139x+140)00.70710.7070-0.707x-1.96-2.90-5.753.730.89-0.06eq\f(207,139x+140)-0.5π-0.25π-0.1π0.1π0.25π0.5πsineq\f(207,139x+140)-1-0.707-0.310.310.7071x-0.38-0.53-0.63-0.69-0.74-0.77eq\f(207,139x+140)0.75ππ1.25π1.5π1.75π2πsineq\f(207,139x+140)0.7070-0.707-1-0.7070☆.函数的示意图以eq\f(207,139x+140)∈[-2π,2π]上为例:y=sineq\f(207,139x+140)。y(-1.32,1)(-0.06,1)(0.89,0.707)(-1.39,0.707)(3.73,0.31)(-5.75,-0.31)x(-2.90,-0.707)(-5.75,-0.707)(-1.96,-1)(-1.39,-1)※.余弦函数y=coseq\f(207,139x+140)的图像☆.函数的定义域：因为y=coseq\f(207,139x+140)，余弦函数的定义域为全体实数，又y₁=eq\f(207,139x+140)自变量x在分母中，则有139x+140≠0，即x≠-eq\f(140,139)≈-1.01，所以函数的定义域为：(-∞,-eq\f(140,139))∪(-eq\f(140,139),+∞)。☆.函数的五点图：以eq\f(207,139x+140)∈[-2π,2π]上为例：x-1.24-1.28-1.32-1.39-5.753.73eq\f(207,139x+140)-2π-1.75π-1.5π-1.25π-π-0.75πcoseq\f(207,139x+140)10.7070-0.707-1-0.707x-1.96-2.90-5.753.730.89-0.06eq\f(207,139x+140)-0.5π-0.25π-0.1π0.1π0.25π0.5πcoseq\f(207,139x+140)0-0.7070.950.950.7071x-0.38-0.53-0.63-0.69-0.74-0.77eq\f(207,139x+140)0.75ππ1.25π1.5π1.75π2πcoseq\f(207,139x+140)-0.707-1-0.70700.7071☆.函数的示意图以eq\f(207,139x+140)∈[-2π,2π]上为例：y=coseq\f(207,139x+140)。(-5.75,0.95)(-1.24,1)(-0.77,1)(3.73,0.95)(-1.28,0.707)(0.89,0.707)x(-2.90,-0.707)(-5.75,-1)(-0.53,-1)※.正切函数y=taneq\f(207,139x+140)的图像☆.函数的定义域：因为y=taneq\f(207,139x+140)，要求eq\f(207,139x+140)≠kπ+eq\f(π,2)，即：x≠eq\f(414,139*(2k+1)π)-eq\f(140,139)，又y₁=eq\f(207,139x+140)有139x+140≠0，即x≠-eq\f(140,139)≈-1.01，所以函数的定义域为：{x|x≠{eq\f(414,139*(2k+1)π)-eq\f(140,139),，x∈R，k∈Z}。☆.函数的五点图：以eq\f(207,139x+140)∈[-2.5π，2.5π]上为例：x-1.20-1.24-1.30-1.35-1.48-1.80eq\f(207,139x+140)-2.4π-2π-1.6π-1.4π-π-0.6πtaneq\f(207,139x+140)-3.0803.08-3.0803.08x-2.19-2.90-5.753.730.890.18eq\f(207,139x+140)-0.4π-0.25π-0.1π0.1π0.25π0.4πtaneq\f(207,139x+140)-3.08-1-0.320.3213.08x-0.22-0.53-0.67-0.71-0.77-0.81eq\f(207,139x+140)0.6ππ1.4π1.6π2π2.4πtaneq\f(207,139x+140)-3.0803.08-3.0803.08☆.函数的五点图：以eq\f(207,139x+140)∈[-2.5π，2.5π]上为例：y=taneq\f(207,139x+140)y(-1.80,3.08)(0.18,3.08) (0.89,1)(3.73,0.32)x(-5.75,-0.32)(-2.90,-1)(-2.19,-3.08)(-0.22,-3.08)※.余切函数y=ctgeq\f(207,139x+140)的图像☆.函数的定义域：因为y=ctgeq\f(207,139x+140)，余切函数的定义域要求eq\f(207,139x+140)≠kπ+π，即：x≠eq\f(207,139*(k+1)π)-eq\f(140,139),又y₁=eq\f(207,139x+140)自变量x在分母中，则有139x+140≠0，即x≠-eq\f(140,139)≈-1.01，所以函数的定义域为：{x|x≠eq\f(207,139*(k+1)π)-eq\f(140,139)，x∈R，k∈Z}。☆.函数的五点图：以eq\f(207,139x+140)∈[-2π，2π]上为例：x-1.26-1.32-1.44-1.53-1.96-2.90eq\f(207,139x+140)-1.9π-1.5π-1.1π-0.9π-0.5π-0.25πctgeq\f(207,139x+140)3.080-3.083.080-1x-5.753.730.89-0.06-0.38-0.48eq\f(207,139x+140)-0.1π0.1π0.25π0.5π0.75π0.9πctgeq\f(207,139x+140)-3.083.0810-1-3.08x-0.58-0.63-0.69-0.74-0.76eq\f(207,139x+140)1.1π1.25π1.5π1.75π1.9πctgeq\f(207,139x+140)3.08101-3.08☆.函数的五点图：以eq\f(207,139x+140)∈[-2π，2π]上为例：y=ctgeq\f(207,139x+140)， y(-