Find the value of the expression

The answer to your question is the letter C.

Step-by-step explanation:

Data

sin Ф = 1/5

cos Ф = ?

To solve this problem use trigonometric functions.

1.- The first condition is that the angle must be in the first quadrangle

(0° < Ф < 90°).

2.- Write the trigonometric function sine.

           sin Ф = Opposite side / hypotenuse   and sin Ф = 1/5

then, Opposite side = 1     hypotenuse = 5

3.- Use the Pythagorean theorem to find the adjacent side.

           Hypotenuse² = Opposite side² + Adjacent side²

-Solve for Adjacent side

            Adjacent side² = Hypotenuse² - Opposite sie²

-Substitution

            Adjacent side² = 5² - 1²

-Simplification

            Adjacent side² = 25 - 1

            Adjacent side ² = 24

            Adjacent side = √24

4.- Find the cosФ

             cos Ф = Adjacent side/hypotenuse

-Substitution

             cosФ = √24 / 5

the 1st digit is in the 100s n its 1

step-by-step explanation:

3,589÷18 = 199.389

so the first digit of the quotient is in the 100s n its 1