1. Right Triangle Trigonometry
Sec. 6.2
Right Triangle Trigonometry

3. 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

4. Ex. Find the value of the 6 trig functions4 θ 3

5. b) 13 θ 12

7. Ex. 4 p.468 Let θ be an acute angle such that sin θ = .6
Find values of
Cos θ
Tanθ
Using trig identities

8. Ex. 5 p.469
Tan θ = 3
Find
Cot θ
Sec θ

9. 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?

10. 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

11. Ex.
A 12 meter flagpole cast a 9 meter shadow. Find θ the angle of elevation of the sun.

12. 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