解析以89.(97x+103)为弧度的四个三角函数图像对比

以89/(97x+103)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89/(97x+103)为弧度的四个三角函数，即y=sin[89/(97x+103)]，y=cos[89/(97x+103)]，y=tan[89/(97x+103)]，y=cgt[89/(97x+103))]的函数性质及图像示意图。以eq\f(89,97x+103)为弧度的四个三角函数图像对比※.正弦函数y=sineq\f(89,97x+103)的图像☆.函数的定义域：因为y=sineq\f(89,97x+103)，正弦函数的定义域为全体实数，又y₁=eq\f(89,97x+103)自变量x在分母中，则有97x+103≠0，即x≠-eq\f(103,97)≈-1.06，所以函数的定义域为：(-∞,-eq\f(103,97))∪(-eq\f(103,97),+∞)。☆.函数的五点图：以eq\f(89,97x+103)∈[-2π,2π]上为例：x-1.21-1.23-1.26-1.30-3.981.86eq\f(89,97x+103)-2π-1.75π-1.5π-1.25π-π-0.75πsineq\f(89,97x+103)00.70710.7070-0.707x-1.65-2.23-3.981.860.11-0.48eq\f(89,97x+103)-0.5π-0.25π-0.1π0.1π0.25π0.5πsineq\f(89,97x+103)-1-0.707-0.310.310.7071x-0.67-0.77-0.83-0.87-0.89-0.92eq\f(89,97x+103)0.75ππ1.25π1.5π1.75π2πsineq\f(89,97x+103)0.7070-0.707-1-0.7070☆.函数的示意图以eq\f(89,97x+103)∈[-2π,2π]上为例:y=sineq\f(89,97x+103)。y(-1.26,1)(-0.48,1)(0.11,0.707)(-1.30,0.707)(1.86,0.31)(-3.98,-0.31)x(-2.23,-0.707)(-3.98,-0.707)(-1.65,-1)(-1.30,-1)※.余弦函数y=coseq\f(89,97x+103)的图像☆.函数的定义域：因为y=coseq\f(89,97x+103)，余弦函数的定义域为全体实数，又y₁=eq\f(89,97x+103)自变量x在分母中，则有97x+103≠0，即x≠-eq\f(103,97)≈-1.06，所以函数的定义域为：(-∞,-eq\f(103,97))∪(-eq\f(103,97),+∞)。☆.函数的五点图：以eq\f(89,97x+103)∈[-2π,2π]上为例：x-1.21-1.23-1.26-1.30-3.981.86eq\f(89,97x+103)-2π-1.75π-1.5π-1.25π-π-0.75πcoseq\f(89,97x+103)10.7070-0.707-1-0.707x-1.65-2.23-3.981.860.11-0.48eq\f(89,97x+103)-0.5π-0.25π-0.1π0.1π0.25π0.5πcoseq\f(89,97x+103)0-0.7070.950.950.7071x-0.67-0.77-0.83-0.87-0.89-0.92eq\f(89,97x+103)0.75ππ1.25π1.5π1.75π2πcoseq\f(89,97x+103)-0.707-1-0.70700.7071☆.函数的示意图以eq\f(89,97x+103)∈[-2π,2π]上为例：y=coseq\f(89,97x+103)。(-3.98,0.95)(-1.21,1)(-0.92,1)(1.86,0.95)(-1.23,0.707)(0.11,0.707)x(-2.23,-0.707)(-3.98,-1)(-0.77,-1)※.正切函数y=taneq\f(89,97x+103)的图像☆.函数的定义域：因为y=taneq\f(89,97x+103)，要求eq\f(89,97x+103)≠kπ+eq\f(π,2)，即：x≠eq\f(178,97*(2k+1)π)-eq\f(103,97)，又y₁=eq\f(89,97x+103)有97x+103≠0，即x≠-eq\f(103,97)≈-1.06，所以函数的定义域为：{x|x≠{eq\f(178,97*(2k+1)π)-eq\f(103,97),，x∈R，k∈Z}。☆.函数的五点图：以eq\f(89,97x+103)∈[-2.5π，2.5π]上为例：x-1.18-1.21-1.24-1.27-1.35-1.55eq\f(89,97x+103)-2.4π-2π-1.6π-1.4π-π-0.6πtaneq\f(89,97x+103)-3.0803.08-3.0803.08x-1.79-2.23-3.981.860.11-0.33eq\f(89,97x+103)-0.4π-0.25π-0.1π0.1π0.25π0.4πtaneq\f(89,97x+103)-3.08-1-0.320.3213.08x-0.58-0.77-0.85-0.88-0.92-0.94eq\f(89,97x+103)0.6ππ1.4π1.6π2π2.4πtaneq\f(89,97x+103)-3.0803.08-3.0803.08☆.函数的五点图：以eq\f(89,97x+103)∈[-2.5π，2.5π]上为例：y=taneq\f(89,97x+103)y(-1.55,3.08)(-0.33,3.08) (0.11,1)(1.86,0.32)x(-3.98,-0.32)(-2.23,-1)(-1.79,-3.08)(-0.58,-3.08)※.余切函数y=ctgeq\f(89,97x+103)的图像☆.函数的定义域：因为y=ctgeq\f(89,97x+103)，余切函数的定义域要求eq\f(89,97x+103)≠kπ+π，即：x≠eq\f(89,97*(k+1)π)-eq\f(103,97),又y₁=eq\f(89,97x+103)自变量x在分母中，则有97x+103≠0，即x≠-eq\f(103,97)≈-1.06，所以函数的定义域为：{x|x≠eq\f(89,97*(k+1)π)-eq\f(103,97)，x∈R，k∈Z}。☆.函数的五点图：以eq\f(89,97x+103)∈[-2π，2π]上为例：x-1.22-1.26-1.33-1.39-1.65-2.23eq\f(89,97x+103)-1.9π-1.5π-1.1π-0.9π-0.5π-0.25πctgeq\f(89,97x+103)3.080-3.083.080-1x-3.981.860.11-0.48-0.67-0.74eq\f(89,97x+103)-0.1π0.1π0.25π0.5π0.75π0.9πctgeq\f(89,97x+103)-3.083.0810-1-3.08x-0.80-0.83-0.87-0.89-0.91eq\f(89,97x+103)1.1π1.25π1.5π1.75π1.9πctgeq\f(89,97x+103)3.08101-3.08☆.函数的五点图：以eq\f(89,97x+103)∈[-2π，2π]上为例：y=ctgeq\f(89,97x+103)， y(-1.39,3