# Trig Question

• Dec 9th 2009, 06:05 PM
Paymemoney
Trig Question
Hi
I am having trouble understanding what i am meant to do in the following question:

Find all values of x between 0 and $\displaystyle 2\pi$ for which
$\displaystyle sin x =0.6$

P.S
• Dec 9th 2009, 06:08 PM
mr fantastic
Quote:

Originally Posted by Paymemoney
Hi
I am having trouble understanding what i am meant to do in the following question:

Find all values of x between 0 and $\displaystyle 2\pi$ for which
$\displaystyle sin x =0.6$

P.S

Use the symmetry of the unit circle: $\displaystyle x = \sin^{-1} 0.6$ and $\displaystyle x = \pi - \sin^{-1} 0.6$.
• Dec 9th 2009, 06:15 PM
Paymemoney
can this is done without using the calculator??
• Dec 9th 2009, 06:19 PM
mr fantastic
Quote:

Originally Posted by Paymemoney
can this is done without using the calculator??

However, if you want a value of $\displaystyle \sin^{-1} 0.6$ then of course you will have to use a calculator to get a decimal approximation.
$\displaystyle Degrees X Pi/180$