Trigonometry

Question 0

Radians into degrees

Answer 0

180 = Pi

1 = Pi/ 180

Question 1

Double angles

Answer 1

Sin2x = 2sinxcosx

Cos2x =2 cos^2x - sin^2x

Tan2x = 2tanx/1-tan^2x

Question 2

Degrees into radians

Answer 2

Pi = 180

1c = 180/Pi

Question 3

Formula for arc length and area of sector

Answer 3

L = theta radius

A = .5 r^2 (theta - sin theta)

Question 4

Differentiating trig functions

Answer 4

y = sinx
y' = cosx

y = cosx
y' = -sinx

y = tanx 
y' = sec^2x

Question 5

Graphing trig functions

Answer 5

y = asinbx or acosbx
a = amplitude 

b = period
= 2pi / b

y = atanbx

b = Pi / b

Question 6

Integrating cos^2x and sin^2x

Answer 6

Use cos2x=2cos^2x - sin^2x
Trig identities to eliminate one you don’t want.
Sub in

Question 7

Chain rule of differentiation

Answer 7

Sinf(x) = f’(x)cosf(x)

Cosf(x) = -f’(x)sinf(x)

Tanf(x) = f’(x)sec^2f(x)