Sine and Cosine in Right Triangles

We can use SOH-CAH-TOA for...

• Any triangle ever

• Non-right triangles only

• Right Triangles only

• Never

What type of triangle is the context of our study of trigonometry?

• right triangle

• isosceles triangle

• scalene triangle

• acute triangle

The ratio of the length of the side opposite of the angle to the length of the hypotenuse is the _____________

• Sine

• Cosine

• Tangent

cos B = ? Remember: Cosine ratio is adjacent/hypotenuse

• 12/13

• 12/5

• 5/13

• 5/12

What is the ratio of Sin <D?

• sin<D = 4/5 = .8

• sin<D = 3/5=.6

• sin<D = 5/4 =1.25 

• sin <D = 5/3 = 1.7

Find the ratio for sinA. (Reduce the fraction)

• 36/27

• 4/5

• 36/45

• 3/5

Solve for the misssing distance. Round to nearest tenth.

Mathematical Equivalence

ON

Which is the correct applied ratio?

• A

• B

• C

• D

What is the value of sin(B)?

Mathematical Equivalence

ON

Solve the right triangle.

Round all answers to the nearest whole number.

• 11

• 48

• 16