Questions tagged 'Trigonometry'
44 questions
Find (a) sin(α) and cos(β), (b) tan(α) and cot(β), and (c) sec(α) and csc(β). Assume x = 3, y = 8.?
I am given a right triangle. Side (a) is the length of the adjacent leg, side (b) is the length of the opposite leg, and side (c) is the hypotenuse. I know that side (b) is 3 and side (c) is 8, but I...
what is the exact value of sin(11pi/12)?
What is the exact value of sin(11π/12), and how can trigonometric identities be applied to derive this value?
Dec 07, 2024
(1 – 3cosx – 4cos^2x) / sin^2x = (1 – 4cosx)/ (1 – cosx)?
How can I manipulate the expression ((1 - 3\cos x - 4\cos^2 x) / \sin^2 x) to show that it is equal to ((1 - 4\cos x) / (1 - \cos x)) without altering the right side of the equation?
Dec 05, 2024
arcsin[sin(4pi/3)] is what?
I am quite confused when it comes to inverse trigonometric problems. I understand that there are specific rules to follow when working with inverse sine functions, but I'm not sure how to apply them i...
Dec 02, 2024
What is the exact value of csc 5pi/4?
What is the exact value of csc(5π/4)? I would appreciate it if you could provide the steps or examples on how to determine the exact value. Thank you!
In the figure, sin ∠MQP = .
In the provided figure, how is the sine of angle MQP related to the cosine of angle R and the sine of angle N?
Solve 2cotx + sec^2x = 0?
I am seeking assistance with the equation (2 \cot x + \sec^2 x = 0). So far, I have rewritten it as follows: [ 2 \cot x + \sec^2 x = 0 ] [ 2/\tan x + \tan^2 x + 1 = 0 ] I am unsure how to procee...
If sin(x) = 1/3 and sec(y) = 5/4, where x and y lie between 0 and π/2, evaluate sin(x + y). 11?
If sin(x) = 1/3 and sec(y) = 5/4, where x and y are in the interval [0, π/2], how can we evaluate sin(x + y)?
find the exact solutions of the equation in the interval [0, 2π). (Enter your answers as a comma-separated list.)?
Find the exact solutions of the equation (4 \sin(4x) = -8 \sin(2x)) within the interval ([0, 2\pi)). Please provide your answers as a comma-separated list.
If sin x = .21,what is cos x?
I need help with my homework! If sin(x) = 0.21, what is cos(x)? Here are the answer choices: a) 0.76 b) 0.98 c) 0.87 d) 0.65