Right Triangle Trigonometry Sec. 6.2 Right Triangle Trigonometry
6 Trig functions Sine Cosine Tangent Cosecant Secant Cotangent Sin θ = opp/hyp Cosine Cos θ = adj/hyp Tangent Tan θ = opp/adj Cosecant Csc θ = hyp/opp Secant Sec θ = hyp/adj Cotangent Cot θ = adj/opp
Ex. Find the value of the 6 trig functions 4 θ 3
b) 13 θ 12
Ex. 4 p.468 Let θ be an acute angle such that sin θ = .6 Find values of Cos θ Tanθ Using trig identities
Ex. 5 p.469 Tan θ = 3 Find Cot θ Sec θ
Applications Solving right triangles Like ex. 7 p. 470 Surveyor 50 ft. from the base of a tree measures the angle of elevation to be 71.5°. How tall is the tree?
Ex. 8 p 470 A person is 200 yds. from a river. The person walks 400 yds. along a straight path to the rivers edge. Find the angle between this path and the rivers edge
Ex. A 12 meter flagpole cast a 9 meter shadow. Find θ the angle of elevation of the sun.
EX. 9 p. 471 Specifications for a loading dock ramp require a rise of 1ft For each 3 ft of horizontal length. Find sides b and c and find the measure of θ. c 4 θ b