Question

Express the trig ratios as fractions in

simplest terms.
PLEASE HELP IM GONNA FAIL MATH FOR THE YEAR IF I DONT GET THIS DONE

Answer 1

Using the trigonometric ratios we found the value of cos L to be √43 / 22 and the value of sin K to be √43 / 22.

As we can see in the figure that we are given a right angle triangle KJL , right angled at J , where JL = √43 JK = 21 and KL = 22.

We are asked to find the value of cosL and sin K.

So,

Let us consider angle L as angle of reference (theta).

cos theta = base / hypotenuse

Here is theta is L.

cos L = JL / KL

cos L = √43 / 22

So , the value of cos L is going to be √43 / 22.

Now , we need to find the value of sin K.

Take angle K as angle reference now so in order to that hypotenuse is going to be KL perpendicular is going to JL and base is going to be JK.

sin theta = perpendicular / hypotenuse

Here is theta is K.

sin K = JL / KL

sin K = √43 / 22

So , the value of sin K is also going to be √43 / 22 .