University:
High School
Course:
High School Geometry
Academic year:

2021
Views:

370

Pages:

21
Author:

kalupuch

6-1 Intro to Trig. Opening Exercise: Use right triangle ABC to answer 1-3. Name the side of the triangle opposite ∠A in two different ways. a or BC / CB Name the side of the triangle opposite ∠B in two different ways. b or AC / CA Name the side of the triangle opposite ∠C in two different ways. c or AB / BA The trigonometric ratios are functions of an angle, commonly represented with the Greek letter θ (pronounced "theta"). They are ratios of two sides of a right triangle and relate the angles of a triangle to the lengths of its sides. The 3 basic trigonometric ratios are sine, cosine and tangent and have the following ratios: sin1 θ = opp / hyp 1. cos θ = adj / hyp tan θ = opp / adj MEMORIZE THESE!!! SOH-CAH-TOA Find the measure of the labeled angles to the nearest degree. 1. * cos A = 13/20 * A = cos⁻¹(13/20) * A = 49.4° * A = 49° 2. * sin B = 40/42 * B = sin⁻¹(40/42) * B = 71.8° * B = 72° 3. * tan C = 14/29 * C = tan⁻¹(14/29) * C = 25.7° * C = 26° 4. * tan d = 48/51 * d = tan⁻¹(48/51) * d = 43.1° * d = 43° 5. A roller coaster travels 80 ft of track from the loading zone before reaching its peak. The horizontal distance between the loading zone and the base of the peak is 50 ft. 1 At what angle, to the nearest tenth of a degree, is the roller coaster rising? * cos θ = 50/80 * θ = cos⁻¹(50/80) * θ = 51.3° * θ = 51°