四个以8.(91x+94)为弧度的三角函数图像对比

以8/(91x+94)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8/(91x+94)为弧度的四个三角函数，即y=sin[8/(91x+94)]，y=cos[8/(91x+94)]，y=tan[8/(91x+94)]，y=cgt[8/(91x+94))]的函数性质及图像示意图。以eq\f(8,91x+94)为弧度的四个三角函数图像对比※.正弦函数y=sineq\f(8,91x+94)的图像☆.函数的定义域：因为y=sineq\f(8,91x+94)，正弦函数的定义域为全体实数，又y₁=eq\f(8,91x+94)自变量x在分母中，则有91x+94≠0，即x≠-eq\f(94,91)≈-1.03，所以函数的定义域为：(-∞,-eq\f(94,91))∪(-eq\f(94,91),+∞)。☆.函数的五点图：以eq\f(8,91x+94)∈[-2π,2π]上为例：x-1.05-1.05-1.05-1.06-1.31-0.75eq\f(8,91x+94)-2π-1.75π-1.5π-1.25π-π-0.75πsineq\f(8,91x+94)00.70710.7070-0.707x-1.09-1.14-1.31-0.75-0.92-0.98eq\f(8,91x+94)-0.5π-0.25π-0.1π0.1π0.25π0.5πsineq\f(8,91x+94)-1-0.707-0.310.310.7071x-1.00-1.00-1.01-1.01-1.02-1.02eq\f(8,91x+94)0.75ππ1.25π1.5π1.75π2πsineq\f(8,91x+94)0.7070-0.707-1-0.7070☆.函数的示意图以eq\f(8,91x+94)∈[-2π,2π]上为例:y=sineq\f(8,91x+94)。y(-1.05,1)(-0.98,1)(-0.92,0.707)(-1.06,0.707)(-0.75,0.31)(-1.31,-0.31)x(-1.14,-0.707)(-1.31,-0.707)(-1.09,-1)(-1.06,-1)※.余弦函数y=coseq\f(8,91x+94)的图像☆.函数的定义域：因为y=coseq\f(8,91x+94)，余弦函数的定义域为全体实数，又y₁=eq\f(8,91x+94)自变量x在分母中，则有91x+94≠0，即x≠-eq\f(94,91)≈-1.03，所以函数的定义域为：(-∞,-eq\f(94,91))∪(-eq\f(94,91),+∞)。☆.函数的五点图：以eq\f(8,91x+94)∈[-2π,2π]上为例：x-1.05-1.05-1.05-1.06-1.31-0.75eq\f(8,91x+94)-2π-1.75π-1.5π-1.25π-π-0.75πcoseq\f(8,91x+94)10.7070-0.707-1-0.707x-1.09-1.14-1.31-0.75-0.92-0.98eq\f(8,91x+94)-0.5π-0.25π-0.1π0.1π0.25π0.5πcoseq\f(8,91x+94)0-0.7070.950.950.7071x-1.00-1.00-1.01-1.01-1.02-1.02eq\f(8,91x+94)0.75ππ1.25π1.5π1.75π2πcoseq\f(8,91x+94)-0.707-1-0.70700.7071☆.函数的示意图以eq\f(8,91x+94)∈[-2π,2π]上为例：y=coseq\f(8,91x+94)。(-1.31,0.95)(-1.05,1)(-1.02,1)(-0.75,0.95)(-1.05,0.707)(-0.92,0.707)x(-1.14,-0.707)(-1.31,-1)(-1.00,-1)※.正切函数y=taneq\f(8,91x+94)的图像☆.函数的定义域：因为y=taneq\f(8,91x+94)，要求eq\f(8,91x+94)≠kπ+eq\f(π,2)，即：x≠eq\f(16,91*(2k+1)π)-eq\f(94,91)，又y₁=eq\f(8,91x+94)有91x+94≠0，即x≠-eq\f(94,91)≈-1.03，所以函数的定义域为：{x|x≠{eq\f(16,91*(2k+1)π)-eq\f(94,91),，x∈R，k∈Z}。☆.函数的五点图：以eq\f(8,91x+94)∈[-2.5π，2.5π]上为例：x-1.04-1.05-1.05-1.05-1.06-1.08eq\f(8,91x+94)-2.4π-2π-1.6π-1.4π-π-0.6πtaneq\f(8,91x+94)-3.0803.08-3.0803.08x-1.10-1.14-1.31-0.75-0.92-0.96eq\f(8,91x+94)-0.4π-0.25π-0.1π0.1π0.25π0.4πtaneq\f(8,91x+94)-3.08-1-0.320.3213.08x-0.99-1.00-1.01-1.02-1.02-1.02eq\f(8,91x+94)0.6ππ1.4π1.6π2π2.4πtaneq\f(8,91x+94)-3.0803.08-3.0803.08☆.函数的五点图：以eq\f(8,91x+94)∈[-2.5π，2.5π]上为例：y=taneq\f(8,91x+94)y(-1.08,3.08)(-0.96,3.08) (-0.92,1)(-0.75,0.32)x(-1.31,-0.32)(-1.14,-1)(-1.10,-3.08)(-0.99,-3.08)※.余切函数y=ctgeq\f(8,91x+94)的图像☆.函数的定义域：因为y=ctgeq\f(8,91x+94)，余切函数的定义域要求eq\f(8,91x+94)≠kπ+π，即：x≠eq\f(8,91*(k+1)π)-eq\f(94,91),又y₁=eq\f(8,91x+94)自变量x在分母中，则有91x+94≠0，即x≠-eq\f(94,91)≈-1.03，所以函数的定义域为：{x|x≠eq\f(8,91*(k+1)π)-eq\f(94,91)，x∈R，k∈Z}。☆.函数的五点图：以eq\f(8,91x+94)∈[-2π，2π]上为例：x-1.05-1.05-1.06-1.06-1.09-1.14eq\f(8,91x+94)-1.9π-1.5π-1.1π-0.9π-0.5π-0.25πctgeq\f(8,91x+94)3.080-3.083.080-1x-1.31-0.75-0.92-0.98-1.00-1.00eq\f(8,91x+94)-0.1π0.1π0.25π0.5π0.75π0.9πctgeq\f(8,91x+94)-3.083.0810-1-3.08x-1.01-1.01-1.01-1.02-1.02eq\f(8,91x+94)1.1π1.25π1.5π1.75π1.9πctgeq\f(8,91x+94)3.08101-3.08☆.函数的五点图：以eq\f(8,91x+94)∈[-2π，2π]上为例：y=ctgeq\f(8,91x+94)， y(-1.06,3.08)