Simple Trigonometric Equations in degrees (°)

Investigating simple trigonometric equations (with sin, cos, tan) and their solutions in different intervals, with angles given in degrees (°). How many solutions are there in a given interval? How are the solutions spaced out? All this and more can be investigated.

Author and programmer: Ron Barrow

UK Years 12-13, KS5 AS and A2 Level Core Mathematics, Trigonometry

   
           

Instructions below    See also:    This applet in radians    Trigonometric Transformations   Trigonometric Functions

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How to Use this Applet

The screen is designed to help you solve trigonometric equations.
The general equation is : A sin(Bx + C) + D = E, or the equivalent with cos and tan. You change the values of A, B, C, D and E using the boxes at the bottom of the screen; just click and drag right or left. Changing the value of E moves a horizontal line up and down, and should help you to visualise the solutions as intersections of that line.
The number of solutions for each equations depends on the inverval chosen. There are several possible intervals available in the drop down menu at the top of the screen. The number of solutions and their values are displayed on the screen. The values have been rounded to the nearest degree.
Play around. I hope you will find this applet helpful.