A problem from my homework:
Explain why sin(18degrees)=cos(72degrees). Then using the previous problem, explain why:
(8t^4)-(8t^2)-t+1=0
Thank You!
Draw any right-angle triangle. Call one of the non-right angles , then the other angle is . Do you understand why? The three angles in a triangle have to add to .
Now note that from the point of view of each angle, the hypotenuses are the same, but the opposite and adjacent sides switch.
So and .