SOLUTION: Solve the equation on the interval 0&#8804;&#952;<2&#960;. 2sin&#952;+4=5 What are the solutions in the interval 0&#8804;&#952;<2&#960;&#8203;? what is the solution set?

Algebra ->  Trigonometry-basics -> SOLUTION: Solve the equation on the interval 0&#8804;&#952;<2&#960;. 2sin&#952;+4=5 What are the solutions in the interval 0&#8804;&#952;<2&#960;&#8203;? what is the solution set?      Log On


   

Question 997025: Solve the equation on the interval 0≤θ<2π.
2sinθ+4=5
What are the solutions in the interval 0≤θ<2π​?
what is the solution set?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2%2Asin%28theta%29%2B4=5


2%2Asin%28theta%29%2B4-4=5-4 Subtract 4 from both sides.


2%2Asin%28theta%29=1


%282%2Asin%28theta%29%29%2F2=1%2F2 Divide both sides by 2.


sin%28theta%29=1%2F2


theta=pi%2F6 or theta=5pi%2F6 Use the unit circle to determine which angles correspond to points on the unit circle that have a y coordinate of 1%2F2


The solutions in the interval [0,2pi) are theta=pi%2F6 or theta=5pi%2F6


Solution set: