Formula
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
|
|
||||
---|---|---|---|---|---|
Even/Odd Identities. | cos (-u) = cos(u) and sec(-u) = sec(u).
the remaining 4 are odd functions.
🗑
|
||||
Sum and difference identities for cosine. | cos(a+b) = cos(a)cos(b) - sin(a)sin(b).
cos(a-b) = cos(a)cos(b) + sin(a)sin(b).
🗑
|
||||
Sum and difference identities for sine. | sin(a+b) = sin(a)cos(b) + cos(a)sin(b).
sin(a-b) = sin(a)cos(b) - cos(a)sin(b).
🗑
|
||||
Cofunction identities. | cos(pi/2 - u) = sin(u) and sin(pi/2 - u) = cos(u).
sec(pi/2 - u) = csc(u) and csc(pi/2 - u) = sec(u).
tan(pi/2 - u) = cot(u) and cot(pi/2 - u) = tan(u).
🗑
|
||||
Double angle identity. | cos(2x) = cos² - sin²(x).
sin(2x) = 2*sin(x)cos(x).
tan(2x) = (2*tan(x))/(1 - tan²(x)).
🗑
|
||||
Power reduction formulas. | cos²(x) = (1/2)*(1 + cos(2x)).
sin²(x) = (1/2)*(1 - cos(2x)).
🗑
|
||||
Half angle formulas. | cos(x/2) = -/+ sqrt[(1/2)*(1 + cos(x))].
sin(x/2) = -/+ sqrt[(1/2)*(1 - cos(x))].
tan(x/2) = -/+ sqrt[(1 - cos(x))/(1 + cos(x))].
🗑
|
||||
Sum to product formulas. | cos(a) + cos(b) = 2*cos[(1/2)*(a + b)]*cos[(1/2)*(a - b)].
cos(a) - cos(b) = -2*sin[(1/2)*(a + b)]*sin[(1/2)*(a - b)].
sin(a) +/- sin(b) = 2*sin[(1/2)*(a +/- b)]*cos[(1/2)*(a -/+ b)].
🗑
|
||||
Product to sum formulas. | cos(a)cos(b) = (1/2)*[cos(a - b) + cos( a + b)].
sin(a)sin(b) = (1/2)*[cos(a - b) - cos(a + b)].
sin(a)cos(b) = (1/2)*[sin(a - b) + sin(a + b)].
🗑
|
Review the information in the table. When you are ready to quiz yourself you can hide individual columns or the entire table. Then you can click on the empty cells to reveal the answer. Try to recall what will be displayed before clicking the empty cell.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.
Normal Size Small Size show me how
Normal Size Small Size show me how
Created by:
JuniorDBlackbone
Popular Math sets