Download presentation

Presentation is loading. Please wait.

Published byJayden Trainor Modified over 2 years ago

1
DOUBLE-ANGLE AND HALF-ANGLE FORMULAS

2
If we want to know a formula for we could use the sum formula. we can trade these places This is called the double angle formula for sine since it tells you the sine of double

3
Let's try the same thing for This is the double angle formula for cosine but by substiuting some identities we can express it in a couple other ways.

4
Double-angle Formula for Tangent

5
Summary of Double-Angle Formulas

6
Page 262 #7 (a and b)

7
Half-Angle Formulas We can also derive formulas for an angle divided by 2. As stated it is NOT both + and - but you must figure out where the terminal side of the angle is and put on the appropriate sign for that quadrant.

8
Page 262 #7 (a and b)

10
We could find sin 15° using the half angle formula. Since 15° is half of 30° we could use this formula if = 30° 30° 15° is in first quadrant and sine is positive there so we want the +

13
Pages 262-263 (8, 12, 16, 20, 22, 24, 36, 48)

Similar presentations

OK

Copyright © 2013, 2009, 2005 Pearson Education, Inc. 1 6 Inverse Circular Functions and Trigonometric Equations Copyright © 2013, 2009, 2005 Pearson Education,

Copyright © 2013, 2009, 2005 Pearson Education, Inc. 1 6 Inverse Circular Functions and Trigonometric Equations Copyright © 2013, 2009, 2005 Pearson Education,

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Dr appt online Ppt on area of trapezium ppt Ppt on sea level rise predictions Service marketing ppt on banking Ppt on determinants of economic development Ppt on project management consultancy Ppt on thermal power plant in india Ppt on wildlife tourism in india Free ppt on mobile number portability mnp Ppt on save environment