trig and funcion graphs practice

sin 0

0

sin π/6

$$\frac12$$

sin π/4

$$\frac{\sqrt{2}}{2}$$

sin π/3

$$\frac{\sqrt3}{2}$$

sin π

1

cos π/6

$$\frac{\sqrt3}{2}$$

cos π/4

$$\frac{\sqrt{2}}{2}$$

cos π/3

$$\frac12$$

cos 0

1

cos π

0

tan 0

0

tan π/6

$$\frac{\sqrt3}{3}$$

tan π/4

1

tan π/3

$$\sqrt3$$

tan 1

undef

pythagorean identities

sin²x + cos²x = 1
tan²x + 1 = sec²x

1 + cot²x = csc²x

y = tanx

y = secx

y = cscx

y = cotx

half - angle sin²x

$$\frac{1-\cos\left(2x\right)}{2}$$

half - angle cos²x

$$\frac{1+\cos\left(2x\right)}{2}$$

double angle sin2x

2sinxcosx

double angle cos2x

= cos² x - sin² x
= 2 cos² x - 1
= 1 - 2 sin² x

e^x graph

lnx graph