"You cannot say, “I will look it up.” Your birthday and social security number are things you look up; trigonometric functions and identities are what you know all the time. "
Ramamurti Shankar
sine rule (ambiguous case):
\( \theta \) or \( 180^\circ-\theta \)
Pythagorean identity:
\( \cos^2\theta+\sin^2\theta=1 \)
double angle:
\( \sin 2\theta = 2\sin\theta\cos\theta \)
\( \cos 2\theta = \cos^2\theta-\sin^2\theta \)
\( \cos 2\theta = 2\cos^2\theta-1 \)
\( \cos 2\theta = 1-2\sin^2\theta \)
trig graphs:
sketch \( \sin x,\ \cos x,\ \tan x \)
transformations:
\( a\sin(b(x+c))+d \),
\( a\cos(b(x+c))+d \)
amplitude \( = a \)
period \( = \dfrac{2\pi}{b} \)
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