Trig + Pythag ( soh cah toa, pythag etc)

Question 1

Sin =

Answer 1

opposite divide by hypotenuse

Question 2

Cos =

Answer 2

adjacent divide by hypotenuse

Question 3

Tan =

Answer 3

opposite divide by adjacent

Question 4

If x is denominater,

Answer 4

swap with the number behind the =

Question 5

If x is numberator,

Answer 5

demoninator x number behind the =

Question 6

what is pythagoras theorem?

Answer 6

a squared equals b squared plus c squared

Question 7

how do you work out the longest side of a right angled triangle?

Answer 7

square the sides, add them together, then square root

Question 8

how do you work out the shortest side of a right angled triangle?

Answer 8

square the sides, subtract them, then square root

Question 9

what is the non right angled triangle sin rule for sides?

Answer 9

a over Sin A = b over Sin B

Question 10

what is the non right angled triangle sin rule for angles?

Answer 10

Sin A over a = Sin b over b

Question 11

Area of right angled triangle =

Answer 11

b x h divide by 2

Question 12

Area of non right angled triangle =

Answer 12

1/2 x a x b x Sin C

Question 13

What is the non right angled cosine rule for sides?

Answer 13

a squared = b squared + c squared - 2bc Cos A

Question 14

What is the non right angled cosine rule for angles?

Answer 14

Cos A = b squared + c squared - a squared divided by 2bc

Question 15

How do you know to use the cosine rule?

Answer 15

“Included angle” - angle has to be in between two sides

Question 16

How do you know to use the sin rule?

Answer 16

“Opposite” - angle and sides are opposite

Question 17

How do you know which angle is the biggest?

Answer 17

It’s opposite the right angle (right angled triangle) or opposite the longest side (non right angle triangle)