Download presentation

Presentation is loading. Please wait.

Published byClifton Huckstep Modified over 7 years ago

1
**Lesson 9-1 & 9-2: Trigonometry of Right Triangles (Sine, Cosine, Tangent)**

SOH-CAH-TOA

2
**Using Trigonometry in Right Triangles**

Be able to find the ________, ________, and __________ sides from an angle __________ & _________ depend on where you start! Adjacent means “______” Hypotenuse ______ hypotenuse Opposite Adjacent Hypotenuse Adjacent ________ Hypotenuse Hypotenuse Opposite ________ Opposite _______ ________ Adjacent Opposite Adjacent Next to STAYS

3
Trig Ratios Use _________, _________, and ____________ to set up ratios (fractions) These ratios are related to the size of the__________ Three Trig Functions Opposite Adjacent Hypotenuse Angle Sine (sin) ____________ Find them on your calculator! Cosine (cos) Tangent (tan) Sin, cos, tan are _________ talking about an angle!!! ALWAYS

4
Trig Ratios A 300 2 B C 1 SOH-CAH-TOA ► ____________

5
**Using calculator to find angles**

From the previous slide, solve for angle A: So: Inverse of sin is sin-1 angle fraction/decimal Sin of an ___________ gives the ___________________ fraction/decimal angle Sin-1 of an ____________________ gives the ___________

6
**Using Trig Finding a missing side**

Label the angle, given side, and ___________ side (x) Draw a _____________ by the angle Identify the given and missing sides using ___________, ______________, and _________________ Choose 1 of the 3 equations from: _________________ Fill in equation with numbers and x Solve using a __________ (sin, cos, tan can be over “1”) Finding a missing angle given 2 sides Follow steps 1 – 5 above, then Solve for the angle by using the __________ trig function with the fraction/decimal → missing stick figure adjacent opposite hypotenuse SOH-CAH-TOA proportion inverse

7
**Find sin L, cos L, tan L, sin N, cos N, and tan N**

Find sin L, cos L, tan L, sin N, cos N, and tan N. Express each ratio as a fraction and as a decimal. Example 4-1a

8
Answer: Example 4-1e

9
EXERCISING A fitness trainer sets the incline on a treadmill to The walking surface is 5 feet long. Approximately how many inches did the trainer raise the end of the treadmill from the floor? Let y be the height of the treadmill from the floor in inches. The length of the treadmill is 5 feet, or 60 inches. Example 4-3a

10
**Proportion: Multiply sin 70 by 60, divide by 1 if you want to**

KEYSTROKES: SIN ENTER X Answer: The treadmill is about 7.3 inches high. Example 4-3b

Similar presentations

© 2022 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google