Math Is Fun Forum
Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °
You are not logged in.
- Topics: Active | Unanswered
Pages: 1
#1 2007-11-17 04:30:56
- Identity
- Member
- Registered: 2007-04-18
- Posts: 934
Sum of solutions
Find the sum of solutions in the interval [0, pi], of:
Offline
#2 2007-11-17 04:38:20
- Identity
- Member
- Registered: 2007-04-18
- Posts: 934
Re: Sum of solutions
The number of solutions of the equation asin(2x)=a, where x ∈ [-2pi, 2pi], where a ≠ 0, is:
a) 2
b) 4
c) 6
d) 8
e) 12
I got... 9...
Offline
#3 2007-11-17 05:53:42
- JaneFairfax
- Member
- Registered: 2007-02-23
- Posts: 6,868
Re: Sum of solutions
First one.
Offline
#4 2007-11-17 06:07:28
- JaneFairfax
- Member
- Registered: 2007-02-23
- Posts: 6,868
Re: Sum of solutions
Second one.
Offline
#5 2007-11-17 06:16:54
- Identity
- Member
- Registered: 2007-04-18
- Posts: 934
Re: Sum of solutions
thanks Jane, I made a mistake with the second one, thinking sin2x = 0 somehow. Nice solution to the first problem though.
Offline
Pages: 1