9,261 Answered Questions for the topic trigonometry

Trigonometry

09/20/23

You have a 15 ft

You have a 15-foot ladder that you are using as you paint your house. You place the ladder so that it forms an angle of 35 at the point of contact between the ladder and the ground. How high will... more
Trigonometry

09/20/23

professor plum is

Professor Plum is standing 15 feet from a streetlamp. The light from the lamp is making his shadow 10 feet long. He estimates that the angle of elevation from the tip of his shadow to the top of... more
Trigonometry

09/17/23

EQUATION OR IDENTITY?  tany−cotx=cos(y−x)/ sinxcosy

 tany−cotx=cos(y−x)/ sinxcosy can this just be answered by plugging in random values for x and y and checking if LHS=RHS
Trigonometry

09/16/23

What is b asking and how do I solve for it?

Find an approximate value of the given trigonometric function by using the figure and a calculator.cos(3)(a) the figure (Round your answer to one decimal place.) (b) a calculator (Round your answer... more
Trigonometry

09/14/23

An engineer is asked to design a water sprinkler that will cover a field of 100m2 that is in the shape of a sector of a circle of radius 15cm. Calculate:

An engineer is asked to design a water sprinkler that will cover a field of 100m2 that is in the shape of a sector of a circle of radius 15cm. Calculate: i) the angle through which the sprinkler... more
Trigonometry

09/14/23

Given that tan x /2 = 1 − cos x /sin x , clearly deduce that tan x/ 12 = 2 − √ 3. [4]

Given that tan x /2 = 1 − cos x/ sin x , clearly deduce that tan x/ 12 = 2 − √ 3. [4]
Trigonometry

09/13/23

If cot (theta) = 2.5 and theta is in quadrant 3, what is the value of sin (theta)?

Trigonometry

09/10/23

If 𝑓 is a one-to-one function such that 𝑓(2)=11, what is 𝑓−1(11)?

If 𝑓 is a one-to-one function such that 𝑓(2)=11,(2)=11, what is 𝑓−1(11)?
Trigonometry Calculus

09/10/23

Consider the function 𝑓(𝑥)=tan(𝑥)

Consider the function𝑓(𝑥)=tan(𝑥)Select all intervals where the function is invertible.[0,2𝜋](−5𝜋/2,−3𝜋/2)(−∞,∞)(𝜋/2,3𝜋/2)[0,𝜋](−𝜋/2,𝜋/2)
Trigonometry Calculus

09/10/23

Use the figure to identify all angles between 0 and 2𝜋 satisfying the condition.

tan(𝜃)=−√3(Give your answer in the form of a comma‑separated list. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if no such 𝜃 exists on... more
Trigonometry

09/10/23

Sketch two periods

Sketch two periods of the function f(x) = tan(2x-3π), without using a graphing calculator. Make it clear by labeling the axes and key points on the graph.
Trigonometry

09/10/23

find the following

if f(x) = -sec(2x - π/4) + 1 , then find the followingthe domain of f(x)the range of f(x)the amplitude of f(x)the phase/horizontal shift of f(x)the vertical shift of f(x)
Trigonometry

09/10/23

prove the following trig identities

sec(θ) - sin(θ)tan(θ) = cos(θ)1 - sin(t)/1 + sin(t) = (sec(t) - tan(t))2 sin(x) + cos(x) = 1 + cot(x)/csc(x)
Trigonometry

09/07/23

Find the equivalent degree measurement for the angle having the given radian measurement.

1) 1/4π 2) 1/23) 1/6π4) 11/6π 5) 4.78 6) −2.75
Trigonometry

09/06/23

Please how do you solve this?

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place. Below, enter your... more
Trigonometry Math

09/06/23

The rotation of the smaller wheel...

The rotation of the smaller wheel in the figure causes the larger wheel to rotate. Through how many degrees will the larger wheel rotate if the smaller one rotates through 171 degrees? Round your... more
Trigonometry

09/05/23

What is this asking and how do I solve it?

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place. Below, enter your... more
Trigonometry

09/05/23

What are the values for this and how do I solve to get them?

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place. Below, enter your... more
Trigonometry

09/04/23

sketch two periods of the function.

Sketch two periods of the the function f(x) = 3sin (x/2)+ 4, without using a graphing calculator.label the axes or points on the graph along with what the key points (mins, maxs, points where it... more
Trigonometry

09/04/23

if sec(x) = -3 with pi/2 < x < pi. then find the following

cos(x)sin(x)cot(x)csc(x)tan(x)
Trigonometry

09/04/23

Solve the following in the interval [0,2pi)

sin(Theta) = 1/2tan(t) = 1sec(x) = 2/√3
Trigonometry

09/02/23

Hard Trig Question

In a triangle, one angle is 45° larger than the other two (combined). The side opposite the smaller angle is 10 cm and the side opposite the larger one is 14 cm. Determine the angles in the... more
Trigonometry Math Algebra 1

08/28/23

Considering only the space between 𝑥 = 0 𝑎𝑛𝑑 2𝜋, the equation must only have solutions at 𝑥 = 1 and 𝑥 = 2.

Provide a trigonometric equation. Considering only the space between 𝑥 = 0 𝑎𝑛𝑑 2𝜋, theequation must only have solutions at 𝑥 = 1 and 𝑥 = 2. Explain your thought process andthe work you did to... more

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