math

Question 1

what are the steps to compass bearings

Answer 1

Step 1- workout whether angles are in north or south
Step 2- workouts whether we angles are east or Wests
Step 3- what is the angle of the swing

Question 2

steps for true bearings

Answer 2

Step 1- start from north and measure swing to the direction
Step 2 quote the angle and add T make sure it’s 3 numbers

Question 3

what way does bearings and trig go

Answer 3

Bearings is clockwise
Trig is anticlockwise

Question 4

first quadrant rule

Answer 4

Only first quadrant adds up to 90° Sin30=cos60°. It’s all positive

Question 5

second quadrant rue

Answer 5

From 90° to 180° Sin is only positive rest is negative Sin180° (180-140)= Sin 40°

Question 6

third quadrant rule

Answer 6

From 180-270° only tan is positive
Sin190° (180+10) = -sin10°

Question 7

fourth quadrant rule

Answer 7

Adds up from 270-360° cos is only positive Cos330°= (360-330) cos30°

Question 8

give me the angles for your hand

Answer 8

Thumb- 0
Pointer- 30°
Middle- 45°
Index- 60°
Pinky- 90°

Question 9

sin ratio

Answer 9

Sin = [number of fingers below]/ 2

Question 10

cos ratio

Answer 10

Cos- [ number of fingers above] / 2

Question 11

tan ratio

Answer 11

Tan- [ number of fingers below]/ [number of fingers above]

Question 12

cos

Answer 12

Adjacent/ hypotenuse

Question 13

sin

Answer 13

Opposite/ hypotenuse

Question 14

tan

Answer 14

Opposite/ adjacent

Question 15

method to solve right angles

Answer 15

• Pythagorean’s theorem
• Soh cah toa

Question 16

method to solve non right angles

Answer 16

• Law of sines SinA/a = SinB/b= SinC/c
• Law of cosines
  Find missing side- a^2= b^2+c^2 -2bc CosA
  Find missing angle- b^2+c^2- a^2/2bc

Question 17

what is the sign rule

Answer 17

Used to find non right angles (Butterfly) label capital and lowercase ABC and abc find the butterfly and use the rule SinA/a = SinB/b= SinC/c

Question 18

what is the method to solve third sign using cosine

Answer 18

Can find a missing side

Find missing side- a^2= b^2+c^2 -2bc CosA

Question 19

what is the method to find an angle using cosine

Answer 19

Can find a missing angle

Find missing angle- b^2+c^2- a^2/2bc

Question 20

if you already have an angle how do you find area

Answer 20

1/2bc SIN A
1/2bc SIN B
1/2bc SIN C

Question 21

When should the SINE rule be used in non right angled triangles?

Answer 21

When there’s a cross between two angles and two sides, where only one side or angle is unknown (looks like the wings of a butterfly)