Opener

Unit Essential Question How do you use right triangle trigonometry to solve problems? Unit Essential Question

Tangent Ratio Essential Question: How do you set up the relationships between sine, cosine and tangent of a triangle? Tangent Ratio

Family of Right Triangles For every pair of Complementary Angles, A & B, there is a family of Similar Right Triangles! A A A A B B B B

Tangent Ratio For the whole Family – Large or Small…

Tangent Ratio Explained previous slide,

Example Write the Tangent ratios for ∠T & ∠U.

Real-World Example

Practice

Tangent Inverse What are inverses in Mathematics? What do they do? If: Then Tangent Inverse:

Using Tangent Inverse: Find m∠X Find m∠Y

The angle of a slope. Examples:

opener Find x:

Sine & Cosine Ratios Essential Question: How do you set up the relationships between sine, cosine and tangent of a triangle? Sine & Cosine Ratios

Sine & cosine Soh Cah Toa

Writing sine & cosine ratios:

Finding Missing Sides

Inverse Trigonometry Finding Sides Finding Angles

Finding a missing angle

Opener

Angles of Elevation & Depression Essential Question: How can trigonometry be used to solve word problems involving angles of elevation and depression? Angles of Elevation & Depression

Angles of Elevation & Depression

Describing ANgles ∠1: ∠2: ∠3: ∠4:

Delicate Arch, Utah

Rock Climber

Fountain Hills, Az