.
12. Find the period range and amplitude of the cosine function. Y= - 4 cos 8x
A. Periode 1/4, range = -4 ≤ y ≤ 4, amplitude
B. Perideo = 1/4 pi, range = -4 ≤ y ≤ 4, amplitude = 4
C. Peridoe 1/2 pi, range = -4 ≤ y ≤ amplitude = -4
D. Peridoe 1/2, range = -4 ≤ y ≤ 4, amplitude = -4
13. For a Particular Angle Θ, the cosine function f(x) = a cos b (Θ) has the follog values within one cycle of the function
f (0) = 2 f (pi/4) = f (pi/2) = -2 f(3pi/4) 0 f (pi) = 2. Now what is the rule for the cosine function
Y= 2 co 20
y = -2 cos 20
y = 1/2 cos 40
y= 1/4 cos 20
12. Find the period range and amplitude of the cosine function. Y= - 4 cos 8x
A. Periode 1/4, range = -4 ≤ y ≤ 4, amplitude
B. Perideo = 1/4 pi, range = -4 ≤ y ≤ 4, amplitude = 4
C. Peridoe 1/2 pi, range = -4 ≤ y ≤ amplitude = -4
D. Peridoe 1/2, range = -4 ≤ y ≤ 4, amplitude = -4
D. Period = 1/8π, range = -4 ≤ y ≤ 4, amplitude = 4
too many typos to bother trying to decipher.
Kindly check your post so it makes sense.
It's not my job to figure out what you mean.
It's your job to say it so clearly you cannot be misunderstood.
I apologize for any confusion caused by typos in my previous post. Please let me know which specific question and options you need clarity on, and I will do my best to provide a clear and accurate response.
Please answer a few questions
17 A man stands on his balcony, 140 feet above the ground. He looks at the ground, with his sight line forming an angle of
75 with the building, and sees a bus stop. The function d=140 sec 0 models the distance from the man to any object given
his angle of sight 0. How far is the bus stop from the man? Round your answer to the nearest foot.
145ft
135ft
541ft
36ft
18. What is the value of cos pi/6
√3/3
1/2
√2/2
√3/2
19. Simplify the trigonometric expression
cos^20/ 1-sin 0
sin 0
1 + sin 0
1 - sin 0
1 - sin -/sin0
20. Use the unit Circle to fin the inverse function value in degrees
Cos^-1 (√2/2)
30
135
225
45
17. 145ft
18. 1/2
19. 1
20. 45
19. Simplify the trigonometric expression
cos^20/ 1-sin 0
sin 0
1+ sin 0
1- sin 0
1- sin -/sin0
The answer is: 1 + sin 0.
Explanation: We can use the identity cos^2θ + sin^2θ = 1 to write cos^2θ = 1 - sin^2θ. Substituting this into the expression given, we get:
cos^2θ / (1 - sinθ) = (1 - sin^2θ) / (1 - sinθ) = (1 + sinθ)(1 - sinθ) / (1 - sinθ) = 1 + sinθ
Therefore, the simplified expression is 1 + sin 0.
12. To find the period range and amplitude of the cosine function y = -4 cos 8x, we need to understand the properties of cosine functions.
Period: The period of a cosine function is the distance between two consecutive peaks or troughs. It is calculated using the formula:
Period = (2π) / |b|
In this case, the coefficient of x is 8, so the period is:
Period = (2π) / |8| = π / 4
Amplitude: The amplitude of a cosine function is the distance from the midline to the peak (or trough). It is equal to the absolute value of the coefficient of the cosine function. In this case, the coefficient is -4, so the amplitude is:
Amplitude = |-4| = 4
Therefore, the correct answer is A. Period = 1/4, range = -4 ≤ y ≤ 4, amplitude = 4.
13. To determine the rule for the cosine function Y = 2 cos 20, we can compare the given values to the general form of the cosine function f(x) = a cos b(Θ).
In this case, we are given:
f(0) = 2
f(pi/4) = f(pi/2) = -2
f(3pi/4) = 0
f(pi) = 2
By comparing these values, we can deduce the values of a and b in the general form. In this case:
a = 2
b = 20
Therefore, the rule for the cosine function Y = 2 cos 20 is y = 2 cos 20.
So, the correct answer is A. Y = 2 cos 20.