Answer:
The trigonometric ratios are presented below:
![\sin \theta = \frac{AC}{\sqrt{AC^{2} + BC^{2}}}](https://tex.z-dn.net/?f=%5Csin%20%5Ctheta%20%3D%20%5Cfrac%7BAC%7D%7B%5Csqrt%7BAC%5E%7B2%7D%20%2B%20BC%5E%7B2%7D%7D%7D)
![\cos \theta = \frac{BC}{\sqrt{AC^{2} + BC^{2}}}](https://tex.z-dn.net/?f=%5Ccos%20%5Ctheta%20%3D%20%5Cfrac%7BBC%7D%7B%5Csqrt%7BAC%5E%7B2%7D%20%2B%20BC%5E%7B2%7D%7D%7D)
![\cot \theta = \frac{BC}{AC}](https://tex.z-dn.net/?f=%5Ccot%20%5Ctheta%20%3D%20%5Cfrac%7BBC%7D%7BAC%7D)
![\sec \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{BC}](https://tex.z-dn.net/?f=%5Csec%20%5Ctheta%20%3D%20%5Cfrac%7B%5Csqrt%7BAC%5E%7B2%7D%2BBC%5E%7B2%7D%7D%7D%7BBC%7D)
![\csc \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{AC}](https://tex.z-dn.net/?f=%5Ccsc%20%5Ctheta%20%3D%20%5Cfrac%7B%5Csqrt%7BAC%5E%7B2%7D%2BBC%5E%7B2%7D%7D%7D%7BAC%7D)
Step-by-step explanation:
From Trigonometry we know the following definitions for each trigonometric ratio:
Sine
(1)
Cosine
(2)
Tangent
(3)
Cotangent
(4)
Secant
(5)
Cosecant
(6)
Where:
- Adjacent leg.
- Opposite leg.
- Hypotenuse.
The length of the hypotenuse is determined by the Pythagorean Theorem:
![h = \sqrt{x^{2}+y^{2}}](https://tex.z-dn.net/?f=h%20%3D%20%5Csqrt%7Bx%5E%7B2%7D%2By%5E%7B2%7D%7D)
If
and
, then the trigonometric ratios are presented below:
![\sin \theta = \frac{AC}{\sqrt{AC^{2} + BC^{2}}}](https://tex.z-dn.net/?f=%5Csin%20%5Ctheta%20%3D%20%5Cfrac%7BAC%7D%7B%5Csqrt%7BAC%5E%7B2%7D%20%2B%20BC%5E%7B2%7D%7D%7D)
![\cos \theta = \frac{BC}{\sqrt{AC^{2} + BC^{2}}}](https://tex.z-dn.net/?f=%5Ccos%20%5Ctheta%20%3D%20%5Cfrac%7BBC%7D%7B%5Csqrt%7BAC%5E%7B2%7D%20%2B%20BC%5E%7B2%7D%7D%7D)
![\cot \theta = \frac{BC}{AC}](https://tex.z-dn.net/?f=%5Ccot%20%5Ctheta%20%3D%20%5Cfrac%7BBC%7D%7BAC%7D)
![\sec \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{BC}](https://tex.z-dn.net/?f=%5Csec%20%5Ctheta%20%3D%20%5Cfrac%7B%5Csqrt%7BAC%5E%7B2%7D%2BBC%5E%7B2%7D%7D%7D%7BBC%7D)
![\csc \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{AC}](https://tex.z-dn.net/?f=%5Ccsc%20%5Ctheta%20%3D%20%5Cfrac%7B%5Csqrt%7BAC%5E%7B2%7D%2BBC%5E%7B2%7D%7D%7D%7BAC%7D)
Answer:
They're all right
Step-by-step explanation:
When you have a negative exponent, you take the reciprocal of it so it becomes positive.
Area is a^2
the side length is 100 ft
100^2 = 10,000
P(red)= 65/510 12.75%
Odd(red)= 65/445 14.61%
Odds is the yes/no so the numerator and denominator have to equal the total of the denominator of the probability.
Answer:
4 packages
Step-by-step explanation:
Since the store sells by 1/2 packages, we have to round 1.72 UP to 2.00. Then we multiply 1/2pound by 4= 2.00 pounds