If f (x) = sin x = 0.2, find f (x+2)

f (x+2) = sin 13.537 = 0.23

Step-by-step explanation:

f (x) = sin x = 0.2,

We want to find f (x+2)

Sinx = 0.2

x is an angle and it is expressed in degrees

In order to look for the value of the angle, x degrees, it involves a reversal process. We would find the sine inverse of 0.2

Sine inverse of 0.2 is represented as

Sin^-1 (0.2). This can be found in a calculator or you can look up the value in a trigonometry table. Looking for it in either ways,

Sin^-1 (0.2) = 11.537

Approximately 12.

To look for f (x+2), we will substitute the value of x into f (x+2)

Therefore,

= f (x+2) = f (11.537 + 2) = f (13.537)

f (13.537) = sin 13.537

= 0.23407324

Approximately 0.23