Algebraically Solving Trig Functions for T: Tips and Tricks

[gjb19]

Ok, we'll basically we have two different functions and we're told to set them equal and then algebracially solve them for T.

Here are the functions:

y = 20 sin(pie/15 t) + 25

y = -10cos(2pie/15 t) + 12

It gives a hint and says to use a double-angle formula and the quadratic formula to help if needed.

Does anyone have any idea on where to start? I'm totally confused.

Thanks a lot!

 

[acm]

y = -10Cos(2pi/15 t) + 12
y = -10({Cos(pi/15t)}^2 - {Sin(pi/15t)}^2) + 12

From here it is pretty obvious what to do, get the expression in terms of Sin and solve for Y.