915 Answered Questions for the topic Pre-Calculus
Sketch the graph of the function. (Include two full periods.) Use a graphing utility to verify your result.
y = 1/9 cot(x + 𝜋)A. B. C. D.
Use a graph of the function to approximate the solutions of the equation on the interval [−2𝜋, 2𝜋]. (Enter your answers as a comma-separated list. Round your answers to three decimal places.)
sec (x) = -2x =
Sketch two periods of y = (1/4)tan((pi x)/4). (Select the correct graph.)
A. B. C.D.
Use the graph of the function to answer the following.
f(x) = cos(x) on the interval [−2𝜋, 2𝜋](a) Find the x-intercepts of the graph of y = f(x). (Enter your answers as a comma-separated list.)x =(b) Find the y-intercepts of the graph... more
Pre Calculus Precalculus
Pre-Calc Ferris Wheel Modelling Problem
The Ferris wheel in the following diagram has a radius of 30 feet, and it’s center is 40 feet from the ground, and it makes one revolution every 40 seconds. 1. Write the equation of the height of... more
Calculus Challenge Question URGENT!
I need to catch my flight. I’m at the airport and I’m running late. I need to make it 1000m to get to my gate. I have two choices. I can either run or take the moving sidewalk. The moving sidewalk... more
Trig Equations and Identity
The angle of elevation to the top of a Building in New York is found to be 4 degrees from the ground at a distance of 2 miles from the base of the building. Using this information, find the height... more
Trig Equations and identity
A radio tower is located 250 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is 41° and that the angle of depression to... more
Find the values of the six trigonometric functions of 𝜃. (If an answer is undefined, enter UNDEFINED.)
Function Value: cos (𝜃) = -8/17Constraint: 𝜃 lies in Quadrant IIIsin (𝜃) = cos (𝜃) = tan (𝜃) = csc (𝜃) = sec (𝜃) = cot (𝜃) =
The Johnstown Plane is one of the longest, steepest hoists in the world. The railway cars travel a distance of 896.5 ft at an angle of approximately 35.4°, to a height of 1693.5 ft above sea level.
(Round your answers to two decimal places.)(a) Find the vertical rise of the inclined plane.______ ft(b) Find the elevation of the lower end of the inclined plane._______ ft(c) The cars move up... more
Evaluate the sine, cosine, and tangent of the angle without using a calculator.
-7𝜋/6sin (𝜃) = cos (𝜃) =tan (𝜃) =
State the quadrant in which 𝜃 lies.
sin(𝜃) < 0 and cos(𝜃) < 0a. Ib. IIc. IIId. IV
The point is on the terminal side of an angle in standard position. Determine the exact values of the six trigonometric functions of the angle.
(5, −9)sin (𝜃) =cos (𝜃) =tan (𝜃) =csc (𝜃) =sec (𝜃) =cot (𝜃) =
Find the reference angle 𝜃 ' for the special angle 𝜃.
𝜃 = −305°𝜃 ' =Sketch 𝜃 in standard position and label 𝜃 '. left (a), right (b), down below left (c), down below right (d)
A six-foot person walks from the base of a streetlight directly toward the tip of the shadow cast by the streetlight... (more down below)
When the person is 12 feet from the streetlight and 5 feet from the tip of the streetlight's shadow, the person's shadow starts to appear beyond the streetlight's shadow.(a) Draw a right triangle... more
Evaluate the trigonometric function of the quadrant angle. (If an answer is undefined, enter UNDEFINED.) cot(𝜋)
cot (𝜋) = ______
Use the given value and the trigonometric identities to find the remaining trigonometric functions of the angle.
sec(𝜃) = -3/2, cot(𝜃) < 0sin(𝜃) = cos(𝜃) =tan(𝜃) = csc(𝜃) =cot(𝜃) =
In Problems i-iv,
a) Find the slope of the line that passes through the given points.b) Find the point-slope form of the equation of the line.c) Find the slope-intercept form of the equation of the line.d) Find the... more
6. In Problems i-iv, find each of the following: a) Intercepts b) Vertex c) Maximum or minimum d) Range
i) m(x) = (𝑥+1)2 – 2 ii) n(x) = (𝑥−4)2 – 3please solve, thank you very much in advance.
3. If f(x) = x -1 and g(x) = 1/𝑥+1 ,
find the following functions i) f(g(x)) ii) g(f(1/2) please solve both the parts , thank you.
What is his speed and the wind speed
A man flies a small airplane from cargo to Bismarck. North Dakota— a distance of 180 miles. Because he is flying into a head wind the trip takes him 2 hours. On the way back the wind is still... more
What is P(θ-π) if (-8,15) lies on the terminal side of θ?
Given an ellipse, transform its equation 3x^2 + 4y^2 − 24𝑥 - 16𝑦 + 16 = 0 into its standard form.
Convert these from general form to standard form.
Determine the standard form of equation of the ellipse whose general form is given. 4x2 + 3y2 - 8x +6y - 5 = 0 9x2 + 10y2 + 54x + 100y +241 = 0 4x2 + 9x2 - 32x - 36y +64 = 0 5x2 + 9y2 +20x -180y +... more