5-Minute Check Lesson 5-2

Graphing calculator: Convert 52.125º to degrees, minutes and seconds.

Lesson 5-2: Trigonometric Functions LEQ – How do you solve for missing measurements of right triangles? Describe the 6 basic trig functions and how they relate to a right triangle. Hypotenuse Leg Sine Cosine Tangent Cosecant Secant Cotangent Lesson 5-2: Trigonometric Functions

Problem......... A six foot tall birdwatcher is looking at a bird at the top of a tree. He spots the bird at an angle of elevation of 40 degrees. If he is 50 feet from the tree, how tall is the tree?

Trigonometric Functions y=sin θ (sine) y=cos θ (cosine) y=tan θ (tangent) y=csc θ (co-secant) = 1/sin θ y=sec θ (secant) = 1/cos θ y=cot θ (co-tangent) = 1/tan θ θ-Greek letter theta used to represent angles

Problem......... A six foot tall birdwatcher is looking at a bird at the top of a tree. He spots the bird at an angle of elevation of 40 degrees. If he is 50 feet from the tree, how tall is the tree?

Practice #1 Find the six trig function values of angle A. C 7 B A 6

Practice #2 Practice #3 Practice #4 If sin x = 2/3, find the cos x. If sec x = 5/4, find the tan x. Practice #4 If csc x = 6, find the sin x.

Practice #5 Practice #6 Find the sin 30º. Find the cosine value of the following angles using your table or your calculator: 5º, 10º, 15º, 20º, 25º, 30º, 35º STOP HERE FOR TODAY

45º 60º 90º 45º 90º 30º

45º 60º 90º 45º 90º 30º

Co-Functions sinθ=cos(90º-θ) cosθ=sin(90º-θ) tanθ=cot(90º-θ) cotθ=tan(90º-θ) cscθ=sec(90º-θ) secθ=csc(90º-θ)

Practice #7 Practice #8 If the cosθ=0.4, what is the sin(90º-θ)? If the cosθ=0.5, what is the cot(90º-θ)?