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

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

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

Inverse Trigonometry 12.352 - 3.72 = √138.83 Solve For The A=12.35 B=3.7 <A=90 C a2 - b2 = c2 12.352 - 3.72 = √138.83 3.7 12.35 C=11.7 cos-1 3.7 12.35 <C = 72.6 <B = 17.4 A B Nishant

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 = 182 + 222 - 2(22)(18) - cos65 A2 = 473.3 A = 21.8 sin(65) = sin c A C 21.8 18 sin c = 0.748 <c = 48.4 <b= 66.6 Dilan

Law of Sine Formula: sin A = sin B = sin C a b c <A = 60 B = 40 sin (60) = sin (40) 20 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

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

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 102 +122 = √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

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