Set calculators to Degree mode. Lesson 8.3: Trigonometry Set calculators to Degree mode.

Sides of a Triangle Opposite: Adjacent: Hypotenuse: B C A

Practice Name the opposite, adjacent, and hypotenuse sides for θ, θ’, and θ”. θ: opp: adj: hyp: θ’: opp: adj: hyp: θ“ opp: A B θ" θ' C

Trigonometric Ratios B C A Sine: Cosine: Tangent: hypotenuse opposite adjacent θ C A

Practice sin A = cos A = tan A = B 5 3 4 θ C A

Practice A B C Find the sine, cosine, and tangent of each angle. sin A = cos A = tan A = sin B = cos B = tan B = sin C = cos C = tan C = 12 A B 5 13 C

Inverse Trigonometric Ratios Inverse Ratios: Ex: sin A = ∠A = cos B = ∠B = B 5 3 θ C A

Practice What is the value of each angle? B θ' 13 5 12 θ C A

Practice What is the value of each angle? 15 A B 17 C

Solving for Sides B C A Solving for sides: Ex: What is the value of x?

Practice What is the measure of each side? B 10 x y 25o C A

 Practice

Application The peak of Mt. Everest is 8,848m high. If Euclid can see the peak at a 15o angle, then far is Euclid from Mt. Everest?

Challenge Prove (sin A)2 + (sin B)2 = 1 B c a b θ C A

Challenge

Classwork Lesson 8.3, #1 – 7

Homework p. 537, #1 – 17 all Quiz next class. Complete Practice Exam.