Applications of Circular Functions (VCE SSCE Mathematical Methods): Flashcards

$y = a sin(nt + varepsilon) + b$ or $y = a cos(nt + varepsilon) + b$

Periodic motion

rac{2pi}{n} where $n$ is coefficient of $t$

$1$

$-1$

When $cos(nt + varepsilon) = -1$ or $sin(nt + varepsilon) = -1$

When $cos(nt + varepsilon) = 1$ or $sin(nt + varepsilon) = 1$

Rotating wheels, tides, pendulums, seasonal temperatures

Time taken for one complete cycle of the motion

Isolate trig function, solve for angle, then solve for $t$