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March 4th, 2011, 08:50 PM | #1 |
Senior Member Joined: Apr 2007 Posts: 2,140 Thanks: 0 | Trigonometry |
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March 4th, 2011, 09:51 PM | #2 |
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 520 Math Focus: Calculus/ODEs | Re: Trigonometry
1) Apply the double-angle identities for sine and cosine: Divide through by 2: Factor by grouping: 2) Set first factor equal to zero: Apply linear combination identity: Setting Set second factor equal to zero: Apply linear combination identity: Setting |
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March 4th, 2011, 10:01 PM | #3 | ||
Senior Member Joined: Apr 2007 Posts: 2,140 Thanks: 0 | Quote:
Quote:
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March 4th, 2011, 10:18 PM | #4 |
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 520 Math Focus: Calculus/ODEs | Re: Trigonometry
For problem 2, I should have put all the solutions together: For problem 1, with no restriction on x, we could write the solutions for the two factors as: |
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March 4th, 2011, 10:32 PM | #5 | |
Senior Member Joined: Apr 2007 Posts: 2,140 Thanks: 0 | Quote:
My textbook's answer. | |
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March 7th, 2011, 05:04 AM | #6 |
Global Moderator Joined: Dec 2006 Posts: 20,262 Thanks: 1958 |
In that case, your textbook's answer is incorrect, since it omits some solutions.
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March 7th, 2011, 02:06 PM | #7 |
Senior Member Joined: Apr 2007 Posts: 2,140 Thanks: 0 |
I knew you were smarter than my textbook's solutions! Thanks for letting me know!
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