Solving Trigonometric Equations: Grade 12 Homework Help | Unit Circle Method

[cybernerd]

Homework Statement

Solve the following equation:

(2sinx-1)(tanx-1) = 0
0<x<2pi

The answers are listed as :

pi/6, 5pi/6, pi/4, 54/4

Homework Equations

I'm told the unit circle is used.

The Attempt at a Solution

I'm attempting to learn this from dijointed class notes for a class I missed...

I iunderstand I need to use each bracket by itself, make rotations around the unit circle and find a certain value and use the x value...problemis, I have no idea how to get started. Could anyone shed some light on this frustrating topic?

 

[tiny-tim]

Hi cybernerd!

Solve the following equation:

(2sinx-1)(tanx-1) = 0
0<x<2pi
…
I iunderstand I need to use each bracket by itself

Yes, either (2sinx-1) = 0 or (tanx-1) = 0, so roots of either will do.

… make rotations around the unit circle and find a certain value and use the x value

Sorry, I've no idea what that means in this context …

surely you just find the principal solution, and then use the ordinary ±180º equations?