Simple Trigonometric Equations in radians
Investigating simple trigonometric equations (with sin, cos, tan) and their solutions in different intervals, with angles given in radians. 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, TrigonometryTweet
How to Use this Applet
The screen is designed to help you solve trigonometric equations where angles are given in radians.
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. The value of C is given as multiples of π. 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 solutions are in radians rounded to 2 decimal places.
Play around. I hope you will find this applet helpful.