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Directions- solve each equation for solutions over the interval [0*,360*] (*=degrees). Give solutions to the nearest tenth as appropriate.
Question- cos^2 Θ -sin^2 Θ =0
What you gave me factors as (cos^2 theta - sin^2 theta) = (cos theta + sin theta)(cos theta - sin theta)= 0. When cos theta - sin theta = 0 one answer is that theta is 45 degrees and another answer is when theta is 225 degrees. When theta is 135 degrees cos theta + sin theta is 0. This will also be true when theta is 315 degrees.
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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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I have taught 12 years at the community college level, medical college, and technical college as well as a high school instructor and alternative education instructor and charter school instructor.
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