SOLUTION: Solve the following equation in the interval [0, 2 pi]. Note: Give the answer as a multiple of pi. Do not use decimal numbers. The answer should be a fraction or an integer. Note

Click here to see ALL problems on Trigonometry-basics

Question 532829: Solve the following equation in the interval [0, 2 pi].
Note: Give the answer as a multiple of pi. Do not use decimal numbers. The answer should be a fraction or an integer. Note that pi is already included in the answer so you just have to enter the appropriate multiple. E.g. if the answer is you should enter 1/2. If there is more than one answer enter them separated by commas.
2(cos(t))**2 - cos(t)-1=0
2 (sin(t))**2 - sin(t) -1=0
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Solve the following equation in the interval [0, 2 pi].
Note: Give the answer as a multiple of pi. Do not use decimal numbers. The answer should be a fraction or an integer. Note that pi is already included in the answer so you just have to enter the appropriate multiple. E.g. if the answer is you should enter 1/2. If there is more than one answer enter them separated by commas.
2(cos(t))**2 - cos(t)-1=0
Factor:
(2cos+1)(cos-1) = 0
cos(t) = -1/2 or cos(t) = 1
-----
t + (5/6)pi or ((7/6)pi or 0
==============================

2 (sin(t))**2 - sin(t) -1=0
---
Use the same process as above.
=================================
Cheers,
Stan H.
==============