Acute angle W has sinW=4/sqrt97 and tanW=4/9. Which are values of cscW and cotW?
cscW=9/sqrt97 and cotW=4/sqrt97
cscW=sqrt97/4 and cotW=9/4
cscW=9/sqrt97 and cotW=9/4 cscW=sqrt97/4 and cotW=4/sqrt97
B
Draw the triangle and this should be clear.
Well, it seems like angle W is quite the trickster! To find the values of cscW and cotW, we have to do some calculations.
Since sinW is given as 4/sqrt97, we know that cscW is the reciprocal of sinW. Therefore, cscW would be sqrt97/4.
Now, let's move on to cotW. We're given that tanW is 4/9. To find cotW, we need to take the reciprocal of tanW. So cotW would be 9/4.
To sum it up: cscW=sqrt97/4 and cotW=9/4. Keep in mind that both of these values may cause W to clown around a bit!
To find the values of cscW and cotW, we can use the identities:
cscW = 1/sinW
cotW = 1/tanW
Given that sinW = 4/sqrt(97) and tanW = 4/9, let's calculate cscW and cotW:
cscW = 1/sinW = 1/(4/sqrt(97)) = sqrt(97)/4
cotW = 1/tanW = 1/(4/9) = 9/4
So, the values of cscW and cotW are:
cscW = sqrt(97)/4
cotW = 9/4
To find the values of cscW and cotW, we can use the definitions of these trigonometric functions.
Given that sinW = 4/√97, we can find cscW by using the reciprocal property of sine and the fact that cscW = 1/sinW. Therefore, cscW = 1/(4/√97) = √97/4.
Given that tanW = 4/9, we can find cotW by using the reciprocal property of tangent and the fact that cotW = 1/tanW. Therefore, cotW = 1/(4/9) = 9/4.
Therefore, the correct values are cscW = √97/4 and cotW = 9/4.