Solving Trigonometry Problems Ocr Psychology A Level Case Studies

Note that when we multiply or divide to get the variable by itself, we have to do the same with the “\( 2\pi k\)” or “\( \pi k\)”.

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Here are examples; find the general solution, or all real solutions) for the following equations. Did you get homework from your teacher that was about solving Trigonometric equations?Solving trig equations is just finding the solutions of equations like we did with linear, quadratic, and radical equations, but using trig functions instead.Note that we will use Trigonometric Identities to solve trig problems in the Trigonometric Identity section.Important Note: There is a subtle distinction between finding inverse trig functions and solving for trig functions.Note that we need to be careful about domain restrictions with our answers.For tan, cot, csc, and sec, we have asymptotes, and if our answer happens to fall on an asymptote, we have to eliminate it.Note that \(k\) represents all integers \(\left( k\in \mathbb \right)\).Note also that I’m using “fancy” notation; you may not be required to do this., depending on your book or teacher.If we want \(\displaystyle \left( \right)\) for example, like in the The Inverse Trigonometric Functions section, we only pick the answers from Quadrants I and IV, so we get \(\displaystyle \frac\) only.But if we are solving \(\displaystyle \sin \left( x \right)=\frac\) we get \(\displaystyle \frac\) and \(\displaystyle \frac\) in the interval \(\); there are no domain restrictions.

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