Question

Raju says sin x=(4)/(3) does not exist for some value of angle 'x' .Do you agree with him? Give reason.​

Answer 1

Raju is correct. The reason is given below:

Step-by-step explanation:

$\sin x=\frac{4}{3}$

or, $\sin x=1.33$

But it should be noted that the maximum value of $\sin x$ is 1 and minimum value of $\sin x$ -1

i.e. $\sin x$ lies between $[-1,1]$

Therefore, there is no x for which $\sin x=1.33$

Therefore, when Raju says that $\sin x=\frac{4}{3}$ does not exist for some value of angle $x$ then he is correct.

Hope this answer is helpful.

Know More:

Q: Value of Sin x lies between

Click Here: https://brainly.in/question/24142116

Answer 2

Given:

Sin x = 4/3

To find:

The value of the angle for the given value of the Sin x

Solution:

Sine is the trigonometric function;

and the range of the sine function is [-1, 1] which means that the value fo the sin for any of the angle in the geometry must lie between this range only.

Here the value fo the sin is given as 4/3,

The integer value of the 4/3 is given by 1.33

The integer value of the given fraction is greater than one so it won't lie in the interval of the range of the sin function.

So this value of the sin is not possible for any value of the angle.

Hence, Ram is correct. I totally agree with him.