Trig

Question 1

Find Equivilants

Answer 1

SinX : 180-x
CosX : 360-x

Question 2

Solving Translated Function

Answer 2

Use Z = f(x)
Rearrange for X, but use the z-equation
Put into inequality, and adjust so that z is on its own
Solve AS NORMAL with z
You will get z=stuff
Use x= to undo

Question 3

What is 1 radian

Answer 3

2pi/360

Question 4

Length of arc

Answer 4

rθ

Question 5

Area of sector

Answer 5

1/2 * r^2 * θ

Question 6

Trig Exact Values

Answer 6

Lookup

Question 7

θ is small question and answer is awkward

Answer 7

Consider binomial expansion

Question 8

Identity recall

Answer 8

1 + cot^2 = cosec^2
tan^2 + 1 = sec^2

sin2X = 2sinXcosX
cos2X = cos^2X - sin^2X
cos2X = 1 - sin^2X
cos2X = 2cos^2x - 1

Sin(A+B) = sinAcosB + cosAsinB

Question 9

Inverse trig functions

Answer 9

Arctrig = trig^-1

Restricted to give one top to bottom swoop

sinX and tanX : -90 < x < 90
cos X : 0 < x < 180

Question 10

tr1gXtr2gX - tr2gX

Answer 10

Factorise and solve

Question 11

(TrigX + a)^b where X is small

Answer 11

Binomial expansion

Question 12

Trig aX where X is small

Answer 12

sub a as well

Question 13

Trig3X

Answer 13

Trig(2X+X)

Question 14

Trig(45) / Trig(pi/4)

Answer 14

cos = sin

Question 15

atr1gX + btr2gX

Answer 15

Rtrig(X+a)

Question 16

sinXcosX

Answer 16

sin2X

Question 17

cos^2X +/- sin^2X

Answer 17

1 or cos2X

Question 18

Trig

Answer 18

CHECK RADIANS OR NOT