Download presentation

Presentation is loading. Please wait.

Published byDimitri Inskeep Modified over 2 years ago

1
Trig Functions of Real Numbers Lesson 2.4a

2
2 The Unit Circle Consider a circle with radius r = 1 Wrap t onto the circumference Then w(t) is a function which wraps t to a point P(x, y) Also, t translates to θ (radians) t θ P(x, y) r = 1

3
3 The Unit Circle The trig ratios for θ can tell us x and y Since r = 1 θ P(x, y) r = 1 View Nspire Demo View Nspire Demo

4
4 Example Given Then What are sin, cos, tan? What if Determine P(x, y) What are the trig functions? x y

5
5 Implications It is now possible to take functions of angles greater than 360 (2 π ) or less than -360 (-2 π ) Try these Use both Wrapping concept Calculator (watch angle mode)

6
6 Properties of Trig Functions Odd functions f(-x) = - f(x) Even functions f(-x) = f(x) Which of the trig functions are?? Odd Even This definition is also applied to non trig functions.

7
7 Trig Functions are Periodic The functions repeat themselves The period is the smallest value, p for which f(x) = f(x + p) For sin, cos, sec, csc The period is 2 π For tan and ctn The period is π

8
8 Assignment Lesson 2.4a Page 166 Exercises 1 – 47 odd

Similar presentations

OK

Trig Functions – Part 1 33 22 11 Pythagorean Theorem & Basic Trig Functions Reciprocal Identities & Special Values Practice Problems.

Trig Functions – Part 1 33 22 11 Pythagorean Theorem & Basic Trig Functions Reciprocal Identities & Special Values Practice Problems.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on leverages statistics Ppt on road safety Ppt on leadership styles of bill gates Ppt on producers consumers and decomposers for kids Ppt on drinking water in india Ppt on limits and derivatives doc Ppt on central limit theorem statistics Ppt on earth hour Free ppt on bullying Ppt on exponential functions