06Ctrigeqnscp


 * Trigonometric Equations on the Classpad **

eneral Solutions on the Classpad


 * Your classpad automatically gives a general solution to trig equations.
 * It uses ** constn(1) ** in place of ** n **.
 * if more than one constant is required in a solution, it will use ** constn(2) **, ** constn(3) ** etc


 * Solve is in the ACTION menu, ADVANCED submenu (and also in the ACTION menu, EQUATION submenu).


 * Example 1 **

... ... Use the classpad to find the general solution in radians to sin( q ) = ½


 * Solution:**


 * ** Make sure the calculator is set to Standard and Radians **

... ... ... solve ( sin(//**x**//) = 0.5, //**x**// )
 * ** On the M **** ain screen, enter: **




 * ** The solutions should appear as: **

math . \qquad \left\{ x=2 \cdot \pi \cdot constn(1) + \dfrac{\pi}{6},\, x=2 \cdot \pi \cdot constn(2) + \dfrac{5\pi}{6} \right\} math


 * ** Hence the solution is: **

math . \qquad x = 2\pi n+ \dfrac{\pi}{6}, \; 2\pi n + \dfrac{5\pi}{6}, \quad n \in Z math


 * Note: **
 * When writing the solutions,
 * you should write ** n ** and not constn(1).
 * you should NOT write the dot within each term
 * Don't forget to add n Î J (or n Î Z ) at the end.

Specified Domains on the Classpad


 * o specify a domain for the solution, after solve( ...) type the symbol "|"
 * {the "|" symbol is in the virtual keyboard, **Math3 tab**,}


 * Then type the domain in the format a __ < __ // **x** // __ < __ b
 * the "__<__" symbol is also in the virtual keboard,Math3 tab, (see below)
 * DON'T use the ** Ð ** symbol (that means "angle")


 * Example 2 **

... ... Use the classpad to solve sin( q ) = ½ in the domain [0, 4 p ]


 * Solution:**


 * ** Make sure the calculator is set ot Standard and Radians **

... ... ... solve ( sin(//**x**//) = 0.5, //**x**// ) | 0 __<__ **//x//** __<__ 4 p
 * ** On the Main screen, enter: **




 * ** The solutions should appear as: **

math . \qquad \left\{ x=\dfrac{\pi}{6},\, x=\dfrac{5 \pi}{6},\, x=\dfrac{13 \pi}{6},\, x=\dfrac{17 \pi}{6} \right\} math


 * ** Don't write calculator notation in your answer (so leave out the dots). **

Return to Trig Equations (Year 12)

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