Question

The value of ordinate of the graph of
y = 2 + cos x lies in the interval
3​

Answer 1

Step-by-step explanation:

y = cos x is periodic function. The period of y = cos x is 2π. Therefore, we will draw the graph of y = cos x in the interval [-π, 2π].

For this, we need to take the different values of x at intervals of 10°. Then by using the table of natural cosines we will get the corresponding values of cos x. Take the values of cos x correct to two place of decimal. The values of cos x for the different values of x in the interval [-π, 2π] are given in the following table.

We draw two mutually perpendicular straight

Answer 2

Answer:

The ordinate of graph lies in the interval [1,3]

Step-by-step explanation:

Given trigonometric function is written as follows

$y = 2 + \cos(x)$

For find the interval in which the ordinate lies,we shall use the interval in which cosx lies.

We know that cosx lies in interval [-1,1]

$= > - 1 \leqslant cosx \leqslant 1$

Adding two to all terms of the above equation,we get

$2 - 1 \leqslant 2 + cosx \leqslant 2 + 1 \\ = > 1 \leqslant 2 + cosx \leqslant 3 \\ = > 1 \leqslant y \leqslant 3$

Therefore,the ordinate of graph lies in the interval [1,3]

#SPJ2