详解以93.(171x+14)为弧度的四个三角函数图像对比

以93/(171x+14)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93/(171x+14)为弧度的四个三角函数，即y=sin[93/(171x+14)]，y=cos[93/(171x+14)]，y=tan[93/(171x+14)]，y=cgt[93/(171x+14))]的函数性质及图像示意图。以eq\f(93,171x+14)为弧度的四个三角函数图像对比※.正弦函数y=sineq\f(93,171x+14)的图像☆.函数的定义域：因为y=sineq\f(93,171x+14)，正弦函数的定义域为全体实数，又y₁=eq\f(93,171x+14)自变量x在分母中，则有171x+14≠0，即x≠-eq\f(14,171)≈-0.08，所以函数的定义域为：(-∞,-eq\f(14,171))∪(-eq\f(14,171),+∞)。☆.函数的五点图：以eq\f(93,171x+14)∈[-2π,2π]上为例：x-0.17-0.18-0.20-0.22-1.811.65eq\f(93,171x+14)-2π-1.75π-1.5π-1.25π-π-0.75πsineq\f(93,171x+14)00.70710.7070-0.707x-0.43-0.77-1.811.650.610.26eq\f(93,171x+14)-0.5π-0.25π-0.1π0.1π0.25π0.5πsineq\f(93,171x+14)-1-0.707-0.310.310.7071x0.150.090.060.030.020.00eq\f(93,171x+14)0.75ππ1.25π1.5π1.75π2πsineq\f(93,171x+14)0.7070-0.707-1-0.7070☆.函数的示意图以eq\f(93,171x+14)∈[-2π,2π]上为例:y=sineq\f(93,171x+14)。y(-0.20,1)(0.26,1)(0.61,0.707)(-0.22,0.707)(1.65,0.31)(-1.81,-0.31)x(-0.77,-0.707)(-1.81,-0.707)(-0.43,-1)(-0.22,-1)※.余弦函数y=coseq\f(93,171x+14)的图像☆.函数的定义域：因为y=coseq\f(93,171x+14)，余弦函数的定义域为全体实数，又y₁=eq\f(93,171x+14)自变量x在分母中，则有171x+14≠0，即x≠-eq\f(14,171)≈-0.08，所以函数的定义域为：(-∞,-eq\f(14,171))∪(-eq\f(14,171),+∞)。☆.函数的五点图：以eq\f(93,171x+14)∈[-2π,2π]上为例：x-0.17-0.18-0.20-0.22-1.811.65eq\f(93,171x+14)-2π-1.75π-1.5π-1.25π-π-0.75πcoseq\f(93,171x+14)10.7070-0.707-1-0.707x-0.43-0.77-1.811.650.610.26eq\f(93,171x+14)-0.5π-0.25π-0.1π0.1π0.25π0.5πcoseq\f(93,171x+14)0-0.7070.950.950.7071x0.150.090.060.030.020.00eq\f(93,171x+14)0.75ππ1.25π1.5π1.75π2πcoseq\f(93,171x+14)-0.707-1-0.70700.7071☆.函数的示意图以eq\f(93,171x+14)∈[-2π,2π]上为例：y=coseq\f(93,171x+14)。(-1.81,0.95)(-0.17,1)(0.00,1)(1.65,0.95)(-0.18,0.707)(0.61,0.707)x(-0.77,-0.707)(-1.81,-1)(0.09,-1)※.正切函数y=taneq\f(93,171x+14)的图像☆.函数的定义域：因为y=taneq\f(93,171x+14)，要求eq\f(93,171x+14)≠kπ+eq\f(π,2)，即：x≠eq\f(186,171*(2k+1)π)-eq\f(14,171)，又y₁=eq\f(93,171x+14)有171x+14≠0，即x≠-eq\f(14,171)≈-0.08，所以函数的定义域为：{x|x≠{eq\f(186,171*(2k+1)π)-eq\f(14,171),，x∈R，k∈Z}。☆.函数的五点图：以eq\f(93,171x+14)∈[-2.5π，2.5π]上为例：x-0.15-0.17-0.19-0.21-0.25-0.37eq\f(93,171x+14)-2.4π-2π-1.6π-1.4π-π-0.6πtaneq\f(93,171x+14)-3.0803.08-3.0803.08x-0.51-0.77-1.811.650.610.35eq\f(93,171x+14)-0.4π-0.25π-0.1π0.1π0.25π0.4πtaneq\f(93,171x+14)-3.08-1-0.320.3213.08x0.210.090.040.030.00-0.01eq\f(93,171x+14)0.6ππ1.4π1.6π2π2.4πtaneq\f(93,171x+14)-3.0803.08-3.0803.08☆.函数的五点图：以eq\f(93,171x+14)∈[-2.5π，2.5π]上为例：y=taneq\f(93,171x+14)y(-0.37,3.08)(0.35,3.08) (0.61,1)(1.65,0.32)x(-1.81,-0.32)(-0.77,-1)(-0.51,-3.08)(0.21,-3.08)※.余切函数y=ctgeq\f(93,171x+14)的图像☆.函数的定义域：因为y=ctgeq\f(93,171x+14)，余切函数的定义域要求eq\f(93,171x+14)≠kπ+π，即：x≠eq\f(93,171*(k+1)π)-eq\f(14,171),又y₁=eq\f(93,171x+14)自变量x在分母中，则有171x+14≠0，即x≠-eq\f(14,171)≈-0.08，所以函数的定义域为：{x|x≠eq\f(93,171*(k+1)π)-eq\f(14,171)，x∈R，k∈Z}。☆.函数的五点图：以eq\f(93,171x+14)∈[-2π，2π]上为例：x-0.17-0.20-0.24-0.27-0.43-0.77eq\f(93,171x+14)-1.9π-1.5π-1.1π-0.9π-0.5π-0.25πctgeq\f(93,171x+14)3.080-3.083.080-1x-1.811.650.610.260.150.11eq\f(93,171x+14)-0.1π0.1π0.25π0.5π0.75π0.9πctgeq\f(93,171x+14)-3.083.0810-1-3.08x0.080.060.030.020.01eq\f(93,171x+14)1.1π1.25π1.5π1.75π1.9πctgeq\f(93,171x+14)3.08101-3.08☆.函数的五点图：以eq\f(93,171x+14)∈[-2π，2π]上为例：y=ctgeq\f(93,171x+14)， y(-0.27,