Solving for 't': Tips and Tricks for Navigating Tricky Equations

[mesa]

Homework Statement

Solve for 't'
1/2+pi/4 = (9.8/4)cos2t + sin(2t)

The Attempt at a Solution

I don't know what's wrong with my brain today but every attempt came up empty :P

 

[SteamKing]

Absent some Jedi mind tricks, most trig equations require an iterative method of solution.

 

[mesa]

Absent some Jedi mind tricks, most trig equations require an iterative method of solution.

Nice to know the brain is still functioning properly, it's been a long day :P

 

[Ray Vickson]

Homework Statement

Solve for 't'
1/2+pi/4 = (9.8/4)cos2t + sin(2t)

The Attempt at a Solution

I don't know what's wrong with my brain today but every attempt came up empty :P

Re-write the right-hand-side in the form A*cos(2t + ω), where A is the amplitude and ω is the 'phase'. Use the trigonometric addition formulas to (eventually) get numerical values for A and ω.