break it up into two fractions and finish it
So, twenty hours of my life have passed. I'm never going to get them back, but I can prevent another twenty hours elapsing and that cold, hard feeling of my head hitting the desk one more time. Here's why:
Obviously. So I have to show that. My initial thinking was to convert all the terms into sin and cos, and then using a couple of trigonometric functions left me with:
Because of the sum on the right hand side of the equation, I'm not entirely sure what I should do it. I've tried various different techniques but I've ultimately not been able to get an answer. I've come close to , so that's what I've been aiming for.
Can anyone nudge me in the right direction? I've also tried converting all terms into tan variants but that has only succeeded in driving me into another brick wall.
This is ridiculously more advanced than any trig I've done before and I'm afraid the scope of my notes just doesn't cover it.
I'm okay converting the right hand side of the equation, it's just that when I start multiplying and dividing across the two sides I don't know how to do it properly with the plus and minus signs floating around.
By breaking the left hand side of the equation up into two fractions, I get:
(Can't get the code working, but you can see what I mean)
Again I'm stumped. I've never had to do anything even remotely like this before. I can only hazard a guess that it ends up as cosx/sinx - sinx/cosx at some point.
Now that I have it all written down, it seems so simple, but it was utter anguish getting there. Of course, as I do more of these problems I'll probably get a better feel for what I should and should not be doing, but is there any tried and tested process that I should take into account when doing this?
For instance, my first thought was to express the equation in terms of sin and cosine, so as to standardise like-terms, and that did seem to work, but I suppose my knowledge of trigonometry ultimately prevented me from seeing this through to the end without some help. I also think I seemed a bit preoccupied with flinging terms across the formula rather than focussing on its actual composition.
Or is it all just horses for courses?