Look at the figure below:

an image of a right triangle is shown with an angle labeled y

If sin y° = 7 divided by q and tan y° = 7 divided by r, what is the value of cos y°?

cos y°= r divided by q
cos y° = 7r
cos y° = 7q
cos y°= q divided by r

If sin y = 7/q and tan y= 7/r then the value of cos y is \frac{r}{q}

Step-by-step explanation:

Solution:

The values of sin y and tan y are given as 7/q and 7/r respectively.

We know the relationship between tan cos and sin which is

 --- equation 1

Since we already know the values of sin y and tan y we can easily find the value of cos y by substituting the values in eq1

Taking cos y to the other side of the equal to sign we get

Hence the value of cos y is \frac{r}{q}