![Prove that ${{\\cot }^{2}}\\dfrac{\\pi }{6}+\\csc \\dfrac{5\\pi }{6}+3{{\\tan }^{2}}\\dfrac{\\pi }{6}=6$ Prove that ${{\\cot }^{2}}\\dfrac{\\pi }{6}+\\csc \\dfrac{5\\pi }{6}+3{{\\tan }^{2}}\\dfrac{\\pi }{6}=6$](https://www.vedantu.com/question-sets/5dc6d588-f677-4b70-b8c4-8bac9cd8eff25511085624236665987.png)
Prove that ${{\\cot }^{2}}\\dfrac{\\pi }{6}+\\csc \\dfrac{5\\pi }{6}+3{{\\tan }^{2}}\\dfrac{\\pi }{6}=6$
![trigonometry - Since $\tan(25\pi/2)$ is undefined, and $\cot x = \frac{1}{\tan x}$, then why isn't $\cot(25\pi/2)$ undefined instead of $0$? - Mathematics Stack Exchange trigonometry - Since $\tan(25\pi/2)$ is undefined, and $\cot x = \frac{1}{\tan x}$, then why isn't $\cot(25\pi/2)$ undefined instead of $0$? - Mathematics Stack Exchange](https://i.stack.imgur.com/tFfsY.gif)
trigonometry - Since $\tan(25\pi/2)$ is undefined, and $\cot x = \frac{1}{\tan x}$, then why isn't $\cot(25\pi/2)$ undefined instead of $0$? - Mathematics Stack Exchange
![Determine the period and phase shift of f(x) = 2 csc(x - pi/4). Then graph the function. | Homework.Study.com Determine the period and phase shift of f(x) = 2 csc(x - pi/4). Then graph the function. | Homework.Study.com](https://homework.study.com/cimages/multimages/16/sdy6130259004672465063.png)
Determine the period and phase shift of f(x) = 2 csc(x - pi/4). Then graph the function. | Homework.Study.com
![Prove that: sin(pi+x)cos (pi2+x)tan (3pi2-x)cot(2pi-x)sin(2pi-x)cos(2pi-x) ( - x)sin (3pi2-x) = n pi + pi 4 where n∈ N Prove that: sin(pi+x)cos (pi2+x)tan (3pi2-x)cot(2pi-x)sin(2pi-x)cos(2pi-x) ( - x)sin (3pi2-x) = n pi + pi 4 where n∈ N](https://haygot.s3.amazonaws.com/questions/1493551_1665197_ans_f6a00f3a652f4aad8e28e1b0fda724df.jpg)