Question

true or false: there is an a so that cos(a) = 2. true false check

Explanation:

Step1: Recall the range of cosine function

The range of the cosine function \(y = \cos(a)\) is \([- 1,1]\), which means \(-1\leqslant\cos(a)\leqslant1\) for all real - valued \(a\).

Step2: Compare the given value with the range

We are given \(\cos(a)=2\). Since \(2>1\), and \(2\) is not in the range \([-1,1]\) of the cosine function.

Answer:

False