Hello,
I am having trouble with this question, it say's:
Find all exact solutions in the interval [0,2[pi]).
a.) tan x= -2sin x
b.) sin^2 θ + 5cosθ +1=0
c.) sin^2 θ = -cos2θ
Any help would be greatly appreciated =)
Hello,
I am having trouble with this question, it say's:
Find all exact solutions in the interval [0,2[pi]).
a.) tan x= -2sin x
b.) sin^2 θ + 5cosθ +1=0
c.) sin^2 θ = -cos2θ
Any help would be greatly appreciated =)
a)
or .
Case 1:
where .
Case 2:
where
where .
Putting it all together, we find
where .
In the interval , the solutions are:
where .
You may want to check these answers against the graph of though. Since I obtained the answers through squaring, it's possible that there are extraneous roots.