How does this trig identity work?

zeion · 2011-04-23T16:46:56+00:00

Homework Statement How does |sinx + cosx| = |sqrt(2)(x + (pi/4))| ? Homework Equations The Attempt at a Solution Some kind of co-function identity?

Thread 'Family of lines that are at a distance of 5 from the origin'

I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...

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Homework Statement

Homework Equations

The Attempt at a Solution

Thread 'Family of lines that are at a distance of 5 from the origin'

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