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
Answer:
5 out of 7.
Step-by-step explanation:
There are seven days in one week. They are asking what is the probability of the person chosen not being born in a Tuesday or Wednesday. There are five other days, so there are five other options.
I hope I helped you!
Use one of the many Trigonometric ratios to solve for the missing angle and then use Pythagorean theorem to solve for the missing side.
These things can be done in any order.
Step-by-step explanation:
please mark me as brainlest
The probability is 0.0668 that a product is assembled in less than 12 minutes.