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#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:





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#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...

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#3 2007-11-17 05:53:42

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Sum of solutions

First one.

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#4 2007-11-17 06:07:28

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Sum of solutions

Second one.

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#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.

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