Question

Which two of the following expressions are equivalent to cos(theta)? answers are cos(2pi+theta), cos(-theta), cos(pi-theta), and cos(pi+theta), also can someone explain this concept to me, i literally dont understand

Answer 1

The expressions which are equivalent to the trigonometric function cos(theta) are cos(2pi+theta) and cos(-theta)

What is the equivalent expression?

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

The given trigonometric expressions is,

$f(\theta)=\cos\theta$

The cosine function is the periodic function. The function repeats itself after the 2π. Thus,

$f(\theta)=\cos\theta\\f(\theta)=\cos(2\pi+\theta)$

The cosine function is an even function. Thus,

$f(\theta)=\cos\theta\\f(\theta)=\cos(-\theta)$

Thus, the expressions which are equivalent to the trigonometric function cos(theta) are cos(2pi+theta) and cos(-theta)

Learn more about the equivalent expression here;

https://brainly.com/question/2972832

#SPJ1