Answer:
- sin = -√3/2
- cos = -1/2
- tan = √3
- sec = -2
- csc = (-2/3)√3
- cot = (√3)/3
Step-by-step explanation:
See the attached picture for a drawing of the angle and its terminal point coordinates. Those are (cos(4π/3), sin(4π/3)), so we have the following trig function values:
sin(4π/3) = -√3/2
cos(4π/3) = -1/2
tan(4π/3) = sin/cos = √3
sec(4π/3) = 1/cos = -2
csc(4π/3) = 1/sin = -(2√3)/3
cot(4π/3) = 1/tan = (√3)/3
_____
<em>Additional comment</em>
It helps to know that 1/√a = (√a)/a. This lets you write the ratios with a rational denominator in each case.
Answer:
C. 8
Step-by-step explanation:
![\because \: {s}^{3} = 64 \\ s = \sqrt[3]{64} \\ s = 4 \\ side \: of \: cube = 4 \: units \\ when \: side \: is \: halved \\ new \: side \: length = \frac{4}{2} = 2 \\ \: new \: volume = {2}^{3} = 8 \: cubic \: units](https://tex.z-dn.net/?f=%20%5Cbecause%20%5C%3A%20%20%7Bs%7D%5E%7B3%7D%20%20%3D%2064%20%5C%5C%20s%20%3D%20%20%5Csqrt%5B3%5D%7B64%7D%20%20%5C%5C%20s%20%3D%204%20%5C%5C%20side%20%5C%3A%20of%20%5C%3A%20cube%20%3D%204%20%5C%3A%20units%20%5C%5C%20when%20%5C%3A%20side%20%5C%3A%20is%20%5C%3A%20halved%20%5C%5C%20new%20%5C%3A%20side%20%5C%3A%20length%20%3D%20%20%5Cfrac%7B4%7D%7B2%7D%20%20%3D%202%20%5C%5C%20%20%5C%3A%20new%20%5C%3A%20volume%20%3D%20%20%7B2%7D%5E%7B3%7D%20%20%3D%208%20%5C%3A%20cubic%20%5C%3A%20units)
Answer:
240.
Step-by-step explanation:
Here is the correct question: Three sister are getting new outfits. shirts cost 11 each,skirts coat 25 each and shoes cost 44 a pair. what is the total cost of the new outfits for all of the sisters?
Given: Cost of each shirt is 11
Cost of each skirts coat is 25
Cost of each pair of shoes cost is 44.
Now, finding total cost of shirt, skirt coat and shoes as cost of one new outfit.
= 
∴ Total cost of one new outfit is 80.
Next, finding cost of new outfit for all, three sisters.
Cost of new outfit for three sister = 
∴ Cost of new outfit for three sister = 
240 is the total cost of new outfit for all the sisters.
Answer:
Step-by-step explanation:
7(b² - 2b - 8) = 0
7(b² - 2b + ) = 8
7(b² - 2b + 1) = 8 + 1
7(b - 1)² = 9
(b - 1)² = 9/7
b - 1 = ±√(9/7)
b = 1 ±3√(1/7)
b ≈ -0.134, 2.134
m² + 10m + 14 = -7
m² + 10m + = -7 - 14
m² + 10m + 25 = -7 - 14 + 25
(m + 5)² = 4
m + 5 = 2
m = -3
p² - 8p + 21 = 6
p² - 8p + = 6 -21
p² - 8p + 16 = 6 -21 + 16
(p - 4)² = 1
p - 4 = 1
p = 5
