what is the range of a cosine function?\na. irrational numbers\nc. positive numbers\nb. negative numbers\nd…
what is the range of a cosine function?\na. irrational numbers\nc. positive numbers\nb. negative numbers\nd. all real numbers between -1 and 1 including -1 and 1\nplease select the best answer from the choices provided\na\nb\nc\nd
Answer
Answer:
D. All real numbers between -1 and 1 including -1 and 1
Explanation:
Step1: Recall the cosine function
The cosine function is (y = \cos(x)).
Step2: Analyze the range
The maximum value of (\cos(x)) is (1) (when (x = 2k\pi,k\in\mathbb{Z})) and the minimum value is (- 1) (when (x=(2k + 1)\pi,k\in\mathbb{Z})). For any real - number (x), (-1\leqslant\cos(x)\leqslant1). So the range of (y = \cos(x)) is ([-1,1]), which means all real numbers between -1 and 1 including -1 and 1.