Trigonometric equations Questions and Answers

Select 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 equations
Select 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
A 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 equations
A 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
to 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 equations
to 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
2 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
Math
Trigonometric equations
2 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
At 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 equations
At 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
A 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 equations
A 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
Determine 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
Calculus
Trigonometric equations
Determine 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
5TT Rewrite cos x 4 in terms of sin x and cos x
Algebra
Trigonometric equations
5TT Rewrite cos x 4 in terms of sin x and cos x
Consider 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.
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Trigonometric equations
Consider 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.
12-35. 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 equations
12-35. 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
Salina, 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 equations
Salina, 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.
Suppose sin(a)= 7/10, where 0 ≤ a ≤ π/2

Find all solutions in [0, 2π):
sin(2x) = 7/10
Math
Trigonometric equations
Suppose sin(a)= 7/10, where 0 ≤ a ≤ π/2 Find all solutions in [0, 2π): sin(2x) = 7/10
Suppose tan(a)=5/8 where 0 ≤ a ≤ π/2
Find all solutions in [0, 2π):
Math
Trigonometric equations
Suppose tan(a)=5/8 where 0 ≤ a ≤ π/2 Find all solutions in [0, 2π):
Solve the triangle.
a = 8.387 in c= 6.216 in B=79.62°
Math
Trigonometric equations
Solve the triangle. a = 8.387 in c= 6.216 in B=79.62°
Solve 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 equations
Solve 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
Given 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.
Math
Trigonometric equations
Given 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.