Trigonometry help please

Hey guys,

Could someone please show me how to do the following questions. I would be very grateful.
Thanks in advance to anyone who helps

For part A) do I divide 1 by 3 first then square root or square root first then divide by 3?

For questions like these, your aim first is to isolate the trigⁿ(x) function so you can then take the nth root of both sides. So what you thought of doing first is correct

remember that

$3\tan ^2 \theta = 1$

is the same as

$\left( 3 \tan \theta \right)^2 = 1$

yay it came out right

wait a sec, but root 1 is 1????

remember that

$3\tan ^2 \theta = 1$

is the same as

$\left( 3 \tan \theta \right)^2 = 1$

yay it came out right

Came out right but it's wrong .

remember that

$3\tan ^2 \theta = 1$

is the same as???

$3\left( \tan \theta \right)^2 = 1$?????

Nooo

remember that

$3\tan ^2 \theta = 1$

is the same as???

$3\left( \tan \theta \right)^2 = 1$?????

was it you?

i remember doing trig myself and i remember taking out a factor instead of doing a quadratic and someone posted nooooooooooooooo with a funny picture of someone holding their head saying nooooooooooooo

Probably not

For questions like these, your aim first is to isolate the trigⁿ(x) function so you can then take the nth root of both sides. So what you thought of doing first is correct

Probably not

was it you?

i remember doing trig myself and i remember taking out a factor instead of doing a quadratic and someone posted nooooooooooooooo with a funny picture of someone holding their head saying nooooooooooooo

Nevermind you were talking about something different than I thought.

To extend this, in general you might not be able to 'isolate' the sin/cos function neatly. Anticipating harder questions you might get asked, you might have quadratic equations where the linear component is not zero eg. sin^2 - ((1+root3)/2)sin + (root3)/4. In general you're finding possible solutions of the quadratic, figuring out which of those solutions lie in the range of the trigonometric function and finding what values of x map to those solutions.

found it
http://www.thestudentroom.co.uk/showthread.php?p=62795039&highlight=trig%20mk4