In δdfe, which trigonometric ratio has the same value as sin d?
a. cos d
b. tan d
c. cos e
d. sin e

C. cos E

Step-by-step explanation:

We have been given a right triangle DEF. We are asked to find the trigonometric ratio, which has the same value as sin D.

We know that measure of angle F is 90 degrees as all angles of triangle add up-to 180 degrees. The side DE is hypotenuse of triangle DEF.

Let us find sin D for our given triangle.

We know that cosine relates adjacent side of right triangle to hypotenuse.

We can see that FE is adjacent side of angle E, so:

Therefore, cos E has the same value as sin D and option 'C' is the correct choice.

the answer is 40.

proof: