1. By Nishant Kumar and Dilan Patel
Final Review Chapter 7B
By Nishant Kumar and Dilan Patel
Dilan

2. Main Ideas to Remember SOH CAH TOA Law of Sine Formula
Law Of Cosine Formula
SSA
Nishant

3. SOH CAH TOA Sin A= 6 = 2 = 2√5 3√5 √5 5 Cos A= 3 = √5 3√5 5B
3√5 6
C A
Sin A= 6 = 2 = 2√5
3√5 √
Cos A= 3 = √5
3√5 5
Tan A= 6 = 2 3
Dilan

4. Inverse Trigonometry 12.352 - 3.72 = √138.83
Solve For The A= B=3.7 <A=90 C
a2 - b2 = c2
= √138.83
C=11.7
cos-1 3.7
<C = 72.6
<B = 17.4
A B
Nishant

5. Law of Cosine B A2 = 182 + 222 - 2(22)(18) - cos65 A C 21.8 18
Formula: a2 = b2 + c2 - 2bc(cosA)
b2 = a2 + c2 - 2ac(cosB)
c2 = b2 + a2 - 2bc(cosC) B
A2 = (22)(18) - cos65
A2 = 473.3
A = 21.8
sin(65) = sin c
A C
sin c = 0.748
<c = 48.4
<b= 66.6
Dilan

6. Law of Sine Formula: sin A = sin B = sin C a b c <A = 60 B = 40
sin (60) = sin (40) b
34.64 x sin(b) = 20
34.64 = sin b 20 A B
There is no solution because the value of sine can never be over one
Nishant

7. Topic Relations
7A: The use of Pythagorean Theorem is used to help find the side length of a triangle
9: The use of SOH CAH TOA can allow you to find amplitude of a vector
Dilan

8. Real World
You have to get on the roof of a 10 foot building. However there is a flowerbed that is 12 feet in front of the building. Calculate the length of the smallest ladder that can be used and the angle at which it should be placed. B
Step 1: Use pythagorean theorem to find the length of missing side
= √244 = 15.6 10
Step 2: Use SOHCAHTOA to find the angle of the ladder
Tan-1 = 10 = 39.8 12
Dilan C 12 A

9. Common Errors SSA Solve For The Whole Inverse uses cos-1 tan-1 sin-1
Simple miscalculations
Nishant