## Trigonometric equations IB Maths

Algebra, Functions and equations, Circular functions and trigonometry, Vectors, Statistics and probability, Calculus. IB Maths SL Revision Notes

### Trigonometric equations IB Maths

IB Mathematics SL– Trigonometry, Trigonometric equations

How can we solve the following trigonometric equation?

$2cosx=\sqrt 2$ for $- \pi \leq x \leq \pi$

Thanks
Jane

Posts: 0
Joined: Tue Mar 19, 2013 8:47 pm

### Re: Trigonometric equations IB Maths

IB Maths SL – Trigonometry, Trigonometric equations

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

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

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

$x=\frac{\pi}{4} \ or\ x=-\frac{\pi}{4}$

Hope these help!!
miranda

Posts: 268
Joined: Mon Jan 28, 2013 8:03 pm

### Re: Trigonometric equations IB Maths

Thanks a lot!
Jane

Posts: 0
Joined: Tue Mar 19, 2013 8:47 pm