描点法以103.(209x+162)为弧度的四个三角函数图像对比

以103/(209x+162)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103/(209x+162)为弧度的四个三角函数，即y=sin[103/(209x+162)]，y=cos[103/(209x+162)]，y=tan[103/(209x+162)]，y=cgt[103/(209x+162))]的函数性质及图像示意图。以eq\f(103,209x+162)为弧度的四个三角函数图像对比※.正弦函数y=sineq\f(103,209x+162)的图像☆.函数的定义域：因为y=sineq\f(103,209x+162)，正弦函数的定义域为全体实数，又y₁=eq\f(103,209x+162)自变量x在分母中，则有209x+162≠0，即x≠-eq\f(162,209)≈-0.78，所以函数的定义域为：(-∞,-eq\f(162,209))∪(-eq\f(162,209),+∞)。☆.函数的五点图：以eq\f(103,209x+162)∈[-2π,2π]上为例：x-0.85-0.86-0.88-0.90-2.340.79eq\f(103,209x+162)-2π-1.75π-1.5π-1.25π-π-0.75πsineq\f(103,209x+162)00.70710.7070-0.707x-1.09-1.40-2.340.79-0.15-0.46eq\f(103,209x+162)-0.5π-0.25π-0.1π0.1π0.25π0.5πsineq\f(103,209x+162)-1-0.707-0.310.310.7071x-0.57-0.62-0.65-0.67-0.69-0.70eq\f(103,209x+162)0.75ππ1.25π1.5π1.75π2πsineq\f(103,209x+162)0.7070-0.707-1-0.7070☆.函数的示意图以eq\f(103,209x+162)∈[-2π,2π]上为例:y=sineq\f(103,209x+162)。y(-0.88,1)(-0.46,1)(-0.15,0.707)(-0.90,0.707)(0.79,0.31)(-2.34,-0.31)x(-1.40,-0.707)(-2.34,-0.707)(-1.09,-1)(-0.90,-1)※.余弦函数y=coseq\f(103,209x+162)的图像☆.函数的定义域：因为y=coseq\f(103,209x+162)，余弦函数的定义域为全体实数，又y₁=eq\f(103,209x+162)自变量x在分母中，则有209x+162≠0，即x≠-eq\f(162,209)≈-0.78，所以函数的定义域为：(-∞,-eq\f(162,209))∪(-eq\f(162,209),+∞)。☆.函数的五点图：以eq\f(103,209x+162)∈[-2π,2π]上为例：x-0.85-0.86-0.88-0.90-2.340.79eq\f(103,209x+162)-2π-1.75π-1.5π-1.25π-π-0.75πcoseq\f(103,209x+162)10.7070-0.707-1-0.707x-1.09-1.40-2.340.79-0.15-0.46eq\f(103,209x+162)-0.5π-0.25π-0.1π0.1π0.25π0.5πcoseq\f(103,209x+162)0-0.7070.950.950.7071x-0.57-0.62-0.65-0.67-0.69-0.70eq\f(103,209x+162)0.75ππ1.25π1.5π1.75π2πcoseq\f(103,209x+162)-0.707-1-0.70700.7071☆.函数的示意图以eq\f(103,209x+162)∈[-2π,2π]上为例：y=coseq\f(103,209x+162)。(-2.34,0.95)(-0.85,1)(-0.70,1)(0.79,0.95)(-0.86,0.707)(-0.15,0.707)x(-1.40,-0.707)(-2.34,-1)(-0.62,-1)※.正切函数y=taneq\f(103,209x+162)的图像☆.函数的定义域：因为y=taneq\f(103,209x+162)，要求eq\f(103,209x+162)≠kπ+eq\f(π,2)，即：x≠eq\f(206,209*(2k+1)π)-eq\f(162,209)，又y₁=eq\f(103,209x+162)有209x+162≠0，即x≠-eq\f(162,209)≈-0.78，所以函数的定义域为：{x|x≠{eq\f(206,209*(2k+1)π)-eq\f(162,209),，x∈R，k∈Z}。☆.函数的五点图：以eq\f(103,209x+162)∈[-2.5π，2.5π]上为例：x-0.84-0.85-0.87-0.89-0.93-1.04eq\f(103,209x+162)-2.4π-2π-1.6π-1.4π-π-0.6πtaneq\f(103,209x+162)-3.0803.08-3.0803.08x-1.17-1.40-2.340.79-0.15-0.38eq\f(103,209x+162)-0.4π-0.25π-0.1π0.1π0.25π0.4πtaneq\f(103,209x+162)-3.08-1-0.320.3213.08x-0.51-0.62-0.66-0.68-0.70-0.71eq\f(103,209x+162)0.6ππ1.4π1.6π2π2.4πtaneq\f(103,209x+162)-3.0803.08-3.0803.08☆.函数的五点图：以eq\f(103,209x+162)∈[-2.5π，2.5π]上为例：y=taneq\f(103,209x+162)y(-1.04,3.08)(-0.38,3.08) (-0.15,1)(0.79,0.32)x(-2.34,-0.32)(-1.40,-1)(-1.17,-3.08)(-0.51,-3.08)※.余切函数y=ctgeq\f(103,209x+162)的图像☆.函数的定义域：因为y=ctgeq\f(103,209x+162)，余切函数的定义域要求eq\f(103,209x+162)≠kπ+π，即：x≠eq\f(103,209*(k+1)π)-eq\f(162,209),又y₁=eq\f(103,209x+162)自变量x在分母中，则有209x+162≠0，即x≠-eq\f(162,209)≈-0.78，所以函数的定义域为：{x|x≠eq\f(103,209*(k+1)π)-eq\f(162,209)，x∈R，k∈Z}。☆.函数的五点图：以eq\f(103,209x+162)∈[-2π，2π]上为例：x-0.86-0.88-0.92-0.95-1.09-1.40eq\f(103,209x+162)-1.9π-1.5π-1.1π-0.9π-0.5π-0.25πctgeq\f(103,209x+162)3.080-3.083.080-1x-2.340.79-0.15-0.46-0.57-0.60eq\f(103,209x+162)-0.1π0.1π0.25π0.5π0.75π0.9πctgeq\f(103,209x+162)-3.083.0810-1-3.08x-0.63-0.65-0.67-0.69-0.69eq\f(103,209x+162)1.1π1.25π1.5π1.75π1.9πctgeq\f(103,209x+162)3.08101-3.08☆.函数的五点图：以eq\f(103,209x+162)∈[-2π，2π]上为例：y=ctgeq\f(103,209x+162)， y(-