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Advanced Math/precalculus trig. verifying identites
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Question
would you please help me figure out how to verify tanƟ+cotƟ= 2csc2Ɵ ?
Kim
There are a couple of ways to approach this problem. Since 2csc2Ɵ is the 'more complicated' part I would begin to transform it into sines and cosines and see where it takes me.
2csc2Ɵ = 2/2sinƟcosƟ
= 1/sinƟcosƟ
= (sin^2Ɵ + cos^2Ɵ)/sinƟcosƟ
= sinƟ*sinƟ/sinƟcosƟ + cosƟ*cosƟ/sinƟcosƟ
= sinƟ/cosƟ + cosƟ/sinƟ
= tanƟ + cotƟ
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| Rating(1-10) | Knowledgeability = 10 | Clarity of Response = 10 | Politeness = 10 |
| Comment | Wow thank you so much! Your simple substituting of the pythagorean identity for 1 made the whole problem clearer and I never thought to do that! Again, I appreciate you answering and thank you very much. | ||
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Sherry Wallin
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I can answer most questions up through Calculus and some in Number Theory and Abstract Algebra.
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I have had my Bachelor's Degree since 1987 and have been a teacher since 1988. I earned my Masters Degree in Mathematics May 2010. I have been teaching at the same community college since 2002.
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