Memory Quiz 2 (Trig)

Question 1

Sin^2x+cos^2x=

Answer 1

1
(Pythagorean Identity)

Question 2

1+tan^2x=

Answer 2

sec^2x
(Pythagorean identity)

Question 3

1+cot^2x=

Answer 3

csc^2x
(Pythagorean Identity)

Question 4

sin(2x)=

Answer 4

2sinxcosx
(Double-Angle Identity)

Question 5

cos(2x)

Answer 5

cos^2x-sin^2x =
2cos^2x -1=
1-2sin^2x
(Double-Angle Identity)

Question 6

sin^2x=

Answer 6

(1-cos(2x))/2
(Power Reducing Identity)

Question 7

cos^2x=

Answer 7

(1+cos(2x))/2
(Power Reducing Identity)

Question 8

tan(2x)=

Answer 8

(2tanx)/(1-tan^2x)
(Power Reducing Identity)

Question 9

Degrees to Radians

Answer 9

0 –> 0
90 –> pi/2
180 –> pi
270 –> 3pi/2
360 –> 2pi
45 –> pi/4
30 –> pi/6
60 –> pi/3

Question 10

Unit Circle

Answer 10

(cosθ, sinθ)
S | (0,1) A
|
| (1,0)
—————————————-
(-1,0) |
|
|
T (0,-1) C

Question 11

Special Right Triangle (45, 45, 90)

Answer 11

45
|
1 | sqrt(2)
|
|
90 —————- 45
1

Question 12

Special Right Triangle (30, 60, 90)

Answer 12

30
|
sqrt(3) | 2
|
|
90 —————- 60
1

Question 13

Sin^-1x=

Answer 13

Principal Inverse Values
y
Domain: -1 ≤ x ≤ 1
Range: -pi/2 ≤ y ≤ pi/2
Quads: 1st & 4th

Question 14

cos^-1x=

Answer 14

Principal Inverse Values
y
Domain: -1 ≤ x ≤ 1
Range: 0 ≤ y ≤ pi
Quads: 1st & 2nd

Question 15

tan^-1x=

Answer 15

Principal Inverse Values
y
Domain: x∈ (is an element of) All Real #s
Range: -pi/2 ≤ y ≤ pi/2
Quads: 1st & 4th