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: 14 1/5 - 2 5/6 =11 11/30
rounded is 11
Answer:
b). (0, 4)
if you need an explanation, comment, and I will put one in for you :)
Answer:
Step-by-step explanation:
We are given the following in the question:
We have to find the growth rate z(t) in each of the following cases:
(a) z = xy
(b) z=x/y
(c) z=y/x
(d) z=x^(1/2) y^(1/2)
(e) z=(x/y)^2
(f) z=x^(-1/3)y^(2/3)
Answer:
n=9
Step-by-step explanation:
You use reverse PEMDAS.
First you would divide by 3 on both sides. This should give you:
n²=81
Then you would find . Which is 9.