SOLUTION: This is a Trigonometry and quadratic question but I couldn't find that as a topic. find all solutions, if possible, of the below equation on the interval [0, 2pi]: sin^2x + 3 c

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Question 687890: This is a Trigonometry and quadratic question but I couldn't find that as a topic.
find all solutions, if possible, of the below equation on the interval [0, 2pi]: sin^2x + 3 cos^2 x =0

also, the given answer is "No solution".
Thank you in advance I need to show my whole class how to do this on Monday, and I'm worried I wont get it right.
Answer by fcabanski(1391)   (Show Source): You can put this solution on YOUR website!
Remember the identity


Using the identity becomes --->--->---> --->


Take the square root of both sides.


or


That can't be true because sin(x) never exceeds 1 or falls below -1. So the answer is no solution.

Hope the solution helped. Sometimes you need more than a solution. Contact fcabanski@hotmail.com for online, private tutoring, or personalized problem solving (quick for groups of problems.)

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