Hi just started trig for university and stuck on this problem highly appreciate if someone can point me in the right direction thanks
Find "R" and "a" such that:
9sin% + 4cos% = Rsin(% + a)
% = angle theta in radian.
If you think of a right angled triangle with the side opposite a having length equal to 4 and the side adjacent to a having the length 9. The hypotenuse, by pythagoras' theorem is
Then with the basic definition of sin: . Similar thing with cos.
You might find it easier to do the problem by first expanding