Trigonometry Flashcards
(34 cards)
1
Q
sin^2x + cos^2x =
A
1
2
Q
tanx =
A
sinx/cosx
3
Q
cosecx =
A
1/sinx
4
Q
secx =
A
1/cosx
5
Q
cotx =
A
1/tanx or cosx/sinx
6
Q
(sin^2x + cos^2x)/sin^2x =
A
1 + cot^2x = cosec^2x
7
Q
(sin^2x + cos^2x)/cos^2x =
A
tan^2x + 1 = sec^2x
8
Q
sin(A+B) =
A
sinAcosB + cosAsinB
9
Q
sin(A-B) =
A
sinAcosB - cosAsinB
10
Q
cos(A+B) =
A
cosAcosB - sinAsinB
11
Q
cos(A-B) =
A
cosAcosB + sinAsinB
12
Q
tan(A+B) =
A
(tanA + tanB)/(1 - tanAtanB)
13
Q
tan(A-B) =
A
(tanA - tanB)/(1 + tanAtanB)
14
Q
sin2A =
A
2sinAcosA
15
Q
cos2A =
A
1) cos^2A-sin^2A
2) 2cos^2A - 1
3) 1 - 2sin^2A
16
Q
tan2A =
A
2tanA/(1 - tan^2A)
17
Q
2sinAcosB =
A
sin(A+B) + sin(A-B)
18
Q
2cosAsinB =
A
sin(A+B) - sin(A-B)
19
Q
2cosAcosB =
A
cos(A+B) + cos(A-B)
20
Q
2sinAsinB =
A
cos(A+B) - cos(A-B)
21
Q
sinP + sinQ =
A
2sin((P+Q)/2)cos((P-Q)/2)
22
Q
sinP - sinQ =
A
2cos((P+Q)/2)sin((P-Q)/2)
23
Q
cosP + cosQ =
A
2cos((P+Q)/2)cos((P-Q)/2)
24
Q
cosP - cosQ =
A
-2sin((P+Q)/2)sin((P-Q)/2)
25
sin^2A=
1/2(1-cos2A)
26
cos^2A=
1/2(1+cos2A)
27
sin^2A/2=
1/2(1-cosA)
28
cos^2A/2=
1/2(1+cosA)
29
sin3A=
3sinA-4sin^3A
30
cos3A=
4cos^3A-3cosA
31
tan3A=
(3tanA-tan^3A)/(1-3tan^2A)
32
State in degrees the exact values of sin30, sin45, sin60, sin90, and sin180.
1/2, 1/root2, root3/2, 1, 0
33
State in degrees the exact values of cos30, cos45, cos60, cos90, cos180
root3/2, 1/root2, 1/2, 0, -1
34
State in degrees the exact values of tan30, tan45, tan60, tan90, tan180
1/root3, 1, root3, -, 0
