20 months because it just is and im tired to explain it im sorry
Answer:
9/14 ; 18/23 ; 8/15
Step-by-step explanation:
7/21 = 1/3
6/15 = 2/3
The value of
is ![\frac{5}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B4%7D)
Explanation:
Given that the function
is ![cos \ \theta= \frac{3}{5}](https://tex.z-dn.net/?f=cos%20%5C%20%5Ctheta%3D%20%5Cfrac%7B3%7D%7B5%7D)
We need to determine the value of ![\csc \theta](https://tex.z-dn.net/?f=%5Ccsc%20%5Ctheta)
<u>The value of Opposite side of the triangle:</u>
The formula for
is given by
![cos \ \theta= \frac{adj}{hyp}=\frac{3}{5}](https://tex.z-dn.net/?f=cos%20%5C%20%5Ctheta%3D%20%5Cfrac%7Badj%7D%7Bhyp%7D%3D%5Cfrac%7B3%7D%7B5%7D)
The value of opposite side can be determined using the formula,
![opp=\sqrt{hyp^2-adj^2](https://tex.z-dn.net/?f=opp%3D%5Csqrt%7Bhyp%5E2-adj%5E2)
![opp=\sqrt{5^2-3^2}](https://tex.z-dn.net/?f=opp%3D%5Csqrt%7B5%5E2-3%5E2%7D)
![opp=\sqrt{25-9}](https://tex.z-dn.net/?f=opp%3D%5Csqrt%7B25-9%7D)
![opp=\sqrt{16}=4](https://tex.z-dn.net/?f=opp%3D%5Csqrt%7B16%7D%3D4)
Thus, the value of opposite side is 4
<u>The value of </u>
<u>:</u>
The formula for
is given by
![csc \ \theta=\frac{1}{sin \ \theta}](https://tex.z-dn.net/?f=csc%20%5C%20%5Ctheta%3D%5Cfrac%7B1%7D%7Bsin%20%5C%20%5Ctheta%7D)
First, we shall determine the value of ![sin \ \theta](https://tex.z-dn.net/?f=sin%20%5C%20%5Ctheta)
The formula for
is given by
![sin \ \theta= \frac{opp}{hyp}](https://tex.z-dn.net/?f=sin%20%5C%20%5Ctheta%3D%20%5Cfrac%7Bopp%7D%7Bhyp%7D)
Substituting the values, we have,
![sin \ \theta= \frac{4}{5}](https://tex.z-dn.net/?f=sin%20%5C%20%5Ctheta%3D%20%5Cfrac%7B4%7D%7B5%7D)
Thus, the value of
is ![\frac{4}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B5%7D)
Substituting the values in the formula for
, we have,
![csc \ \theta=\frac{1}{\frac{4}{5}}](https://tex.z-dn.net/?f=csc%20%5C%20%5Ctheta%3D%5Cfrac%7B1%7D%7B%5Cfrac%7B4%7D%7B5%7D%7D)
![csc\ \theta= \frac{5}{4}](https://tex.z-dn.net/?f=csc%5C%20%5Ctheta%3D%20%5Cfrac%7B5%7D%7B4%7D)
Hence, the value of
is