\(\sin x = \sin \alpha \Leftrightarrow x = \alpha + k2\pi ,k \in \mathbb{Z}.\)

\(\sin x = \sin \alpha \Leftrightarrow x = \pi - \alpha + k2\pi ,k \in \mathbb{Z}.\)

\(\sin x = \sin \alpha \Leftrightarrow \left[ {\begin{array}{*{20}{l}}{{\rm{x}} = \alpha + {\rm{k}}2\pi }\\{{\rm{x}} = \pi - \alpha + {\rm{k}}2\pi }\end{array},{\rm{k}} \in \mathbb{Z}} \right..\)

\(\sin x = \sin \alpha \Leftrightarrow \left[ {\begin{array}{*{20}{l}}{x = \alpha + k2\pi }\\{x = - \alpha + k2\pi }\end{array},k \in \mathbb{Z}} \right..\)

\(\cos x = \cos \alpha \Leftrightarrow x = \alpha + k2\pi ,k \in \mathbb{Z}.\)

\(\cos x = \cos \alpha \Leftrightarrow x = - \alpha + k2\pi ,k \in \mathbb{Z}.\)

\(\cos x = \cos \alpha \Leftrightarrow \left[ {\begin{array}{*{20}{l}}{{\rm{x}} = \alpha + {\rm{k}}2\pi }\\{{\rm{x}} = \pi - \alpha + k2\pi }\end{array},k \in \mathbb{Z}} \right..\)

\(\cos x = \cos \alpha \Leftrightarrow \left[ {\begin{array}{*{20}{l}}{{\rm{x}} = \alpha + {\rm{k}}2\pi }\\{{\rm{x}} = - \alpha + {\rm{k}}2\pi }\end{array},{\rm{k}} \in \mathbb{Z}} \right..\)

\(\tan x = \tan \alpha \Leftrightarrow x = \alpha + k\pi ,k \in \mathbb{Z}.\)

\(\tan x = \tan \alpha \Leftrightarrow x = \pi - \alpha + k\pi ,k \in \mathbb{Z}.\)

\(\tan x = \tan \alpha \Leftrightarrow \left[ {\begin{array}{*{20}{l}}{x = \alpha + k2\pi }\\{x = \pi - \alpha + k2\pi }\end{array},k \in \mathbb{Z}} \right..\)

\(\tan x = \tan \alpha \Leftrightarrow \left[ {\begin{array}{*{20}{l}}{x = \alpha + k2\pi }\\{x = - \alpha + k2\pi }\end{array},k \in \mathbb{Z}} \right..\)

\(\cot x = \cot \alpha \Leftrightarrow x = \alpha + k\pi ,k \in \mathbb{Z}.\)

\(\cot x = \cot \alpha \Leftrightarrow x = \pi - \alpha + k\pi ,k \in \mathbb{Z}.\)

\(\cot x = \cot \alpha \Leftrightarrow \left[ {\begin{array}{*{20}{l}}{x = \alpha + k2\pi }\\{x = \pi - \alpha + k2\pi }\end{array},k \in \mathbb{Z}} \right..\)

\(\cot x = \cot \alpha \Leftrightarrow \left[ {\begin{array}{*{20}{l}}{x = \alpha + k2\pi }\\{x = - \alpha + k2\pi }\end{array},k \in \mathbb{Z}} \right..\)