Answer
The symmetry for sine is $sin(\theta+\pi)=-sin(\theta)$
The symmetry for cosine is $cos(\theta+\pi)=-cos(\theta)$
The symmetry for tangent is $tan(\theta+\pi)=tan(\theta)$
The symmetry for secant is $sec(\theta+\pi)=-sec(\theta)$
The symmetry for cosecant is $csc(\theta+\pi)=-csc(\theta)$
The symmetry for cotangent is $cot(\theta+\pi)=cot(\theta)$
Work Step by Step
Use a graphing calculator
The symmetry for tangent can be calculated as $tan(\theta+\pi)=\frac{sin(\theta+\pi)}{cos(\theta+\pi)}=\frac{-sin(\theta)}{-cos(\theta)}=tan(\theta)$
