Answer:
The Answer is B.
Step-by-step explanation:
I took the quiz on Edge.
Answer:
A) sin θ = 3/5
B) tan θ = 3/4
C) csc θ = 5/3
D) sec θ = 5/4
E) cot θ = 4/3
Step-by-step explanation:
We are told that cos θ = 4/5
That θ is the acute angle of a right angle triangle.
To find the remaining trigonometric functions for angle θ, we need to find the 3rd side of the triangle.
Now, the identity cos θ means adjacent/hypotenuse.
Thus, adjacent side = 4
Hypotenuse = 5
Using pythagoras theorem, we can find the third side which is called opposite;
Opposite = √(5² - 4²)
Opposite = √(25 - 16)
Opposite = √9
Opposite = 3
A) sin θ
Trigonometric ratio for sin θ is opposite/hypotenuse. Thus;
sin θ = 3/5
B) tan θ
Trigonometric ratio for tan θ is opposite/adjacent. Thus;
tan θ = 3/4
C) csc θ
Trigonometric ratio for csc θ is 1/sin θ. Thus;
csc θ = 1/(3/5)
csc θ = 5/3
D) sec θ
Trigonometric ratio for sec θ is 1/cos θ. Thus;
sec θ = 1/(4/5)
sec θ = 5/4
E) cot θ
Trigonometric ratio for cot θ is 1/tan θ. Thus;
cot θ = 1/(3/4)
cot θ = 4/3
Answer:
B
Step-by-step explanation:
All you have to basically do on this one is go backwards.
The beginning equation is 4x+4=12, so to first revesre the adding we are going to use 12, the product, and subtract 4 from it (since that is what was added).
12-4=8
Now you need to reverse the times 4, so to do that just divide instead because that is the invese of multiplication.
8/4=2
Now you have 2, which is the variable, x. To make sure this is right you can just put it into the equation and see if 4x2+4 is 12
Hope this helped!
Answer:
x/y = 3/8
Step-by-step explanation:
y = 4/5 = 8/10, so ...
x/y = (3/10)/(8/10) = 3/8
_____
One way to divide fractions is to make them have the same denominator. Then their ratio is the ratio of their numerators.
Answer:
Step-by-step explanation:
The posssible factors are
x^2 + 4x - 32
(x+8)(x-4)
x^2+ 14x - 32
(x+16)(x-2)
(x+32)(x-1)
x^2+31x-32
