Question

find a, b , and h so that f(x)= a sin (b(x-h))
f(x)=5cosx+2sinx

Answer 1

how do you solve this step by step :)

Answer 2

what about b and h those are confusing :/

Answer 3

sorry that was wrong
\[a=\sqrt{5^2+2^2}\]

Answer 4

forget the "b"

Answer 5

it is
\[a\cos(x)+b\sin(x)=\sqrt{a^2+b^2}\sin\left(x+\tan^{-1}(\frac{a}{b})\right)\]

Answer 6

thats how you find h?

Answer 7

yes, that and a calculator in this case

Answer 8

umm is that the formula every time? :)

Answer 9

i put in the calc but what #'s am i plugging in?