## Trigonometric equations MYP math

number, algebra, geometry and trigonometry, statistics and probability, discrete mathematics.

### Trigonometric equations MYP math

MYP Mathematics Pre-diploma – Trigonometry, Trigonometric equations

How can we solve the following trigonometric equation?

$2cosx=1$ for $0 \leq x \leq 2\pi$

Thanks
Nyla

Posts: 0
Joined: Mon Jan 28, 2013 8:11 pm

### Re: Trigonometric equations MYP math

MYP Mathematics Pre-diploma – Trigonometry, Trigonometric equations

Your primary goal in solving a trigonometric equation is to isolate the trigonometric function in the equation.

$2cosx=1 \Leftrightarrow cosx=\frac{1}{2}$

The above equation has two solutions in the interval $[0 , 2\pi]$

$x=\frac{\pi}{3} \ or\ x=2\pi-\frac{\pi}{3}=\frac{5\pi}{3}$

Hope these help!!
Jack

Posts: 0
Joined: Mon Jan 28, 2013 8:08 pm

### Re: Trigonometric equations MYP math

Thanks Jack!!
Nyla

Posts: 0
Joined: Mon Jan 28, 2013 8:11 pm