solve csc^2(x)+cot(x) -1 =0 on the interval (0,2pi)

Question

Question

Keep all answers exact where possible, otherwise round to two decimal places.

math

Answer 1

Answer #1

We know that csc^2(x)=1+cot^2(x)

So,. csc^2(x)+cot(x) -1 =0

1+cot^2(x)+cot(x)-1=0

Or cot^2(x)+cot(x)=0

cot(x)[cot(x)+1]=0

If. cot(x)=0. X=pi/2 ,3pi/2

and if. cot(x)+1=0

Cot(x)=-1. X=3pi/4 ,7pi/4

answered by: anonymous

Answer 2

Similar Homework Help Questions

Solve the trigonometric equation in the Interval [0, 28). Give the exact value, If possible; otherwise,...

Solve the trigonometric equation in the Interval [0, 28). Give the exact value, If possible; otherwise, round your answer to two decimal places. (Enter your answers as a comma-separated list.) 2 cos() + 13 cos(@) + 6 - 0 Need Help? Read it Talk to a Tutor -/1 Points] DETAILS SPRECALC7 7.1.017. MY NOTES ASK YOUR TEACHER Solve the trigonometric equation in the interval [0, 21). Give the exact value, if possible; otherwise, round your answer to two decimal places....
Solve the Trigonometric equation in the interval [0, 2pi). Give the exact value, if possible; otherwise...

Solve the Trigonometric equation in the interval [0, 2pi). Give the exact value, if possible; otherwise round your answer to two decimal places. 2cos^2θ + 9cosθ +4 = 0
7. Solve each equation for solutions on the interval [0,2-). Find all exact solutions where appropriate....

7. Solve each equation for solutions on the interval [0,2-). Find all exact solutions where appropriate. Round approximate answers in radians to two decimal places. In other words if you can find an exact solutions (ie found on the unit circle) write it in exact form. If it's not possible ſie. not on the unit circle) then round to two decimal places. a) 3 cos 0-cos02 b) cos2x-sinx=0 c) cos3x

16. 0.01 points l Previous Answers SPreCalc77.T017. Solve the trigonometric equation in the interval [0, 2π). Give...

16. 0.01 points l Previous Answers SPreCalc77.T017. Solve the trigonometric equation in the interval [0, 2π). Give the exact value, if possible; otherwise, round your answer to two de sin(20)-cos(θ) = 0 Submit Answer Save Progress 17、0 1/1 points ! Previous Answers SPreCalc72.T014 16. 0.01 points l Previous Answers SPreCalc77.T017. Solve the trigonometric equation in the interval [0, 2π). Give the exact value, if possible; otherwise, round your answer to two de sin(20)-cos(θ) = 0 Submit Answer Save Progress 17、0...
3.5.53 Solve the equation on the interval [0,26). (cot 8 - 1)(sin 0-1) = 0 Select...

3.5.53 Solve the equation on the interval [0,26). (cot 8 - 1)(sin 0-1) = 0 Select the correct choice below and fill in any answer boxes in your choice. O A. e= (Simplify your answer. Type an exact answer, using n as needed. Type your ans expression. Use a comma to separate answers as needed.) OB. There is no solution on this interval. Click to select and enter your answer(s) and then click Check Answer. All parts showing Clear All...
Use a calculator to solve the following equation for 0 on the interval -, . csc...

Use a calculator to solve the following equation for 0 on the interval -, . csc (0) = 5.418 Round to three decimal places. Provide your answer below: 0= Radians Radians

UNUNUIR Upon -[-14 Points] DETAILS Solve the trigonometric equation in the interval [0, 21). Give the...

UNUNUIR Upon -[-14 Points] DETAILS Solve the trigonometric equation in the interval [0, 21). Give the exact value, if possible; otherwise, round you (4 cos(0) - 2)(8 sin(O) - 8) - 0 = Show My Work (Optional) 7. [-14 Points] DETAILS Solve the trigonometric equation in the interval [0, 21). Give the exact value, if possible; otherwise, round your sin(20) - cos(0) = 0 0 Points] DETAILS er the angles a and ß in the figures, find cos(a + b)....
Solve TWO (2) of the equations. When possible, use exact value answers. When necessary, round answers...

Solve TWO (2) of the equations. When possible, use exact value answers. When necessary, round answers to two decimal places. No general form solutions needed here. 41. 2sin²x + 3sinx + 1 = 0 42. sin x cos x = 4cosx 43. 4sec + 8 = 16
Find all solutions to 2 cos(0) = 1 on the interval 0 <0 < 27. 0...

Find all solutions to 2 cos(0) = 1 on the interval 0 <0 < 27. 0 Preview Give your answers as exact values in a list separated by commas. Get help: Video Video Points possible: 1 This is attempt 1 of 10. Message instructor about this question

Solve the equation in radians for all exact solutions where appropriate. Round approximate answers in radians...

Solve the equation in radians for all exact solutions where appropriate. Round approximate answers in radians to four decimal places. Write answers using the least possible nonnegative angle measures. 4 sin 1 1/2 = 2/2 Which of the following are all possible solutions? 31 O A. The solution set is +2nt +2nt, where n is any integer eger? 2 {{ : { 31 OB. The solution set is + 4n +4nt, where n is any integer 4 31 O C....