What are the six trig function values of 540 degrees?

Question:

Trigonometric Functions:

In mathematics, the trigonometric functions demonstrate the relationship between angles and sides of a right triangle, where a right triangle is a triangle with a right angle (with 90 degrees). The six trigonometric functions are sine, cosine, tangent, cotangent, secant, and cosecant. We have many different identities that indicate how the trigonometric functions relate to one another. For example, some trigonometric identities or formulas that are helpful when dealing with finding trigonometric functions of large angles are as follows:

$$\begin{align*} \sin \left( {360 + \theta } \right) &= \sin \left( \theta \right)\\ \cos \left( {360 + \theta } \right) &= \cos \left( \theta \right)\\ \tan \left( {360 + \theta } \right) &= \tan \left( \theta \right)\\ \cot \left( {360 + \theta } \right) &= \cot \left( \theta \right)\\ \csc \left( {360 + \theta } \right) &= \csc \left( \theta \right)\\ \sec \left( {360 + \theta } \right) &= \sec \left( \theta \right) \end{align*} $$

Several more identities that are useful when simplifying trigonometric functions are:

$$\begin{align} \sin(180-\theta)&=\sin(\theta)\\ \cos(180-\theta)&=-\cos(\theta)\\ \tan(180-\theta)&=-\tan(\theta)\\ \cot(180-\theta)&=-\cot(\theta)\\ \sec(180-\theta)&=-\sec(\theta)\\ \csc(180-\theta)&=\csc(\theta) \end{align} $$

Answer and Explanation: 1