If you look at the graphs, you can see that they are different by a phase angle of pi/2. You can also use the equation for sin(A+B) …

Continue Reading about “Why is it that sin(θ+π/2)=cos(θ) for all angles θ?” →

Physics, Algebra, Geometry, Calculus

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If you look at the graphs, you can see that they are different by a phase angle of pi/2. You can also use the equation for sin(A+B) …

Continue Reading about “Why is it that sin(θ+π/2)=cos(θ) for all angles θ?” →

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We went through the midterm test. A few concepts were missing in his approach, like absolute value and a mistake with adding negative numbers. Spent a bit of time on changing fractions by multiplying …

Continue Reading about Tutoring Precalculus, Using Reciprocals →

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We reviewed for a test today. It focuses on anti-derivatives (indefinite integrals). There are a few options for approaching the problems. With u-substitution, you should be able to see fairly soon …

Continue Reading about Tutoring Calculus – Options for Basic Integrals →

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You can replace something with something that is exactly equal to it. In this case, within the square root by factoring the 12. Here is some work you could do. If you saw a later step, you could …

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The sound wave has energy which compresses the air. Around the compression, the air is expanded, but the air right next to it is in contact. The expansion of air pushes against the air next to it and …

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Here's a related problem. You use the same pattern for x. …

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