# Trigonometric equations Questions and Answers

Math

Trigonometric equationsSelect the correct answer from each drop down menu The parent cosine function is transformed to create function d d 1 cos 211 5 To create function d the graph of the parent cosine function undergoes these transformatic horizontal shift vertical shift frequency 120 12 1242 ACEER NACENTI

Math

Trigonometric equationsA child builds two wooden train sets The path of one of the trains can be represented by the function y 2sin x where y represents the distance of the train from the child as a function of x minutes The distance from the child to the second train can be represented by the function y 3 sin x What is the number of minutes it will take until the two trains are first equidistant from the child 1 minute 1 5 minutes k 2 minutes

Math

Trigonometric equationsto answer the questions below Military time is a 24 hour clock that begins at midnight represented by 00 00 6 15pm would be written as 18 15 Date March 20 June 20 September 20 December 20 a 1 38 Day b 18 22 80 172 266 356 Sunrise 6 12am 4 42am 5 55am 7 23am Sunset in Military time 18 20 19 36 18 04 1 Using the equation y 1 38sin 13 x 80 18 22 to represent the sunset function explain in words what the following values represent 16 50 context of the sunset

Math

Trigonometric equations2 Jada is riding on a Ferris wheel Her height in feet is modeled by the function 2am 10 h m 100 cos ride 110 where m is the number of minutes since she got on the a How many minutes does it take the Ferris wheel to make one full revolution Explain how you know b Sketch two cycles of a graph of h showing all of your thinking work 240 200 160 120 80 40

Calculus

Trigonometric equationsAt which values in the interval 0 2TT will the functions f x 2cos20 and g x 1 4cos 0 2cos20 intersect 4 3 3 00 O C 5x W H 2n 4x 3 2 5 1

Calculus

Trigonometric equationsA child builds two wooden train sets The path of one of the trains can be represented by the function y 2sin2x where y represents the distance of the train from the child as a function of x minutes The distance from the child to the second train can be represented by the function y 3 sin x What is the number of minutes it will take until the two trains are first equidistant from the child O 1 minute O 1 5 minutes O O W 3 minutes 3r minutes

Calculus

Trigonometric equationsDetermine all solutions to the equation 2sin x 1 cos x on the interval 0 2TT O Ox O 5 3 6 6 2 X 5 3 3 5x 3 332 5t x 7

Math

Trigonometric equationsConsider the curve: y = 1-csc(2 (x-π))
(a) State the period of this curve.
(b) State the phase shift of this curve, and whether it is to the right or to the left.
(c) Sketch a sequence of 5 small separate graphs carefully labeled over a single period starting with y = sin(x) for x ∈[0,2π], moving one change at a time through 3 intermediate curves, and ending with the curve above, as we have done in class.

Math

Trigonometric equations12-35. For each of the following equations, list all of the solutions without using a calculator. Use the unit circle or a graph to check your answer. Then, predict the solution that your calculator will give, and use your calculator to check your prediction. a. 2cos(x) - 1 = 0 b. 4sin²(x) - 3 = 0 c. 2sin(x) = √3

Math

Trigonometric equationsSalina, Tamara, and Uma are working on their homework together. Salina tells her friends that she has θ = 52° for the inverse cosine problem she is working on and asks if they have the same answer. Tamara says she has θ = 128°, and Uma volunteers her answer of θ = 308°. Is it possible that these are all solutions to the same problem? Justify your answer.

Math

Trigonometric equationsSuppose sin(a)= 7/10, where 0 ≤ a ≤ π/2
Find all solutions in [0, 2π):
sin(2x) = 7/10

Math

Trigonometric equationsSolve the following equation for all radian solutions and if 0 < t <2π. Give all answers as exact values in radians. Do not use a calculator. list. If there is no solution, enter NO SOLUTION.)
3 cos t = 9 cost t-3√3
(a) all radian solutions (Let k be any integer.)
t=rad
(b) 0≤t <2n
t= rad

Math

Trigonometric equationsGiven the trigonometric function defined by f(x) = cos(4x):
1. What is the amplitude of the function? _______
2. What is the period of the function? ______
3. Sketch one period of the function.