Trigonometry

Question 1

What are the SohCahToa rules?

Answer 1

S=O/H

C=A/H

T=O/A

Question 2

What is the area of a general triangle?

Answer 2

A = 1/2absinC

little a is always opposite big A
little b is always opposite big B
little c is always opposite big C

Question 3

What is the sine rule to find side lengths?

Answer 3

a/sin A = b/sin B =c/sin C

Question 4

What is the sine rule to find angles?

Answer 4

Sin A/a = Sin B/b = Sin C/c

Question 5

What is the cosine rule?

Answer 5

a^2 = b^2 + c^2 -2bcCos A

Can rearrange to
Cos A = b^2 + c^2 - a^2/2bc

Question 6

What is the period of the y=sin x graph?

Answer 6

360 degrees

Question 7

What is the max value of the y=sin x graph?

Answer 7

1

occurs when x = 90 degrees, 450 degrees, 810 degrees

Question 8

What is the min value of the y=sin x graph?

Answer 8

-1

occurs when x = 270 degrees, 630 degrees ….

Question 9

What is the main equation you need to know for the y=sin x graph?

Answer 9

Sin(180 - x)=Sin x

Question 10

What is the main equation you need to know for the y=cos x graph?

Answer 10

Cos(360 - x)= Cos x

Question 11

What is the main equation you need to know for the y=tan x graph?

Answer 11

Tan(x + 180) = tan x

Question 12

What is the period for the y=cos x graph?

Answer 12

360 degrees

Question 13

What is the period for the y=tan x graph?

Answer 13

180 degrees

Question 14

What are the trig identities that you need to know?

Answer 14

tan 0 = sin 0/cos 0

sin^20 + cos^20 =1

Question 15

What is the transformation y= -sin x ?

Answer 15

Reflection in x axis

Question 16

What is the transformation y= sin(x+30)?

Answer 16

Translation {-30}

{-2}

Question 17

What is the transformation y = sin (-x)

Answer 17

Reflection in y axis

Question 18

What is the transformation y=5cosx

Answer 18

Stretch in y direction SF = 5

Question 19

What is the transformation y = cos3x

Answer 19

Stretch in x direction

SF=1/3

Question 20

What is the transformation y=tan(1/2 x)

Answer 20

Stretch in x direction

SF=2

Question 21

What is the transformation tan(x-10)+3

Answer 21

Translation {10}

{3}