Trigonometric Ratios and Functions

This lesson covers trigonometric ratios, including sine, cosine, and tangent, and their applications in solving problems involving right triangles. It explains how to estimate values using triangles and how to use calculators for precise trigonometric calculations. The lesson provides step-by-step solutions to example problems and concludes with a summary of key concepts.

What is the primary focus of lesson six?

• Working with trigonometric ratios

• Understanding algebraic expressions

• Exploring calculus concepts

• Learning about geometric shapes

Which trigonometric function is the ratio of the adjacent side to the hypotenuse?

• Tangent

• Secant

• Cosine

• Sine

How do you calculate the cosine of an angle using a scientific calculator?

• Type the angle, then press the cosine button

• Press the tangent button, then type the angle

• Press the cosine button, then type the angle

• Type the angle, then press the sine button

What is the most accurate method for finding the value of z in a right triangle?

• Using a right triangle table

• Estimating based on known angles

• Using sine or cosine functions

• Guessing the value

In a right triangle, if the angle is 17 degrees and the adjacent side is 10, what is the hypotenuse?

• 10.46

• 10.0

• 9.5

• 11.2

What is the trigonometric ratio for tangent?

• Opposite over adjacent

• Opposite over hypotenuse

• Hypotenuse over adjacent

• Adjacent over hypotenuse