Questions tagged 'Trigonometry'
44 questions
Solve sin(x) = 1/4 for -180 less than or equal to x less than or equal to 180?
How can I solve the equation sin(x) = 1/4 for x in the interval -180° ≤ x ≤ 180°?
Jan 18, 2025
Let P(x, y) be the terminal point on the unit circle determined by t.?
Let ( P(x, y) ) represent the terminal point on the unit circle corresponding to the angle ( t ). Determine the following trigonometric values based on ( t ): [ \sin(t) = ____ \quad \cos(t) = ____ \qu...
Jan 16, 2025
how to find the coterminal angle of a radian?
I need some help with finding the coterminal angles of a given angle in radians. My teacher mentioned that I should leave the answer in radian form, which I believe is expressed as π/x. I thought we w...
Jan 13, 2025
What is the period for csc, sec, and cot?
What are the periods for the cosecant (csc), secant (sec), and cotangent (cot) functions? Thank you!
Jan 09, 2025
How to find the reference number for each value of t.?
How can I find the reference number for each value of t in the context of the unit circle? Specifically, for the following values: a) t = 3, b) t = 6, c) t = -3, and d) t = -6. I would appreciate an e...
Jan 05, 2025
what is the solution set to cos2x=0?
What is the solution set for the equation cos(2x) = 0? Thank you for your assistance!
Jan 03, 2025
Find 10 partial sums of the series. (Round your answers to five decimal places)?
I would like to find the first 10 partial sums of the series defined by the expression ( \sum_{n=1}^\infty \cos(8n) ). I have attempted to calculate these sums multiple times, but I struggle with the...
Dec 27, 2024
In triangle ABC, a=6, b=7, c=10?
In triangle ABC, with side lengths a = 6, b = 7, and c = 10, what is the measure of angle A to the nearest tenth of a degree? Additionally, what is the area of triangle ABC, also rounded to the neares...
Dec 23, 2024
verify the identity cos x + sin x tan x= secx?
I am trying to verify the identity ( \cos x + \sin x \tan x = \sec x ). I'm feeling a bit lost with this problem. Could someone please provide guidance or a step-by-step solution? Thank you!
Tan theta=4/3 ….piNovember 17, 2021 by thanh
I need assistance in finding the exact values for cos(θ/2) and sin(θ/2), given that tan(θ) = 4/3. Thank you!