Trig Year 2

Question 1

What is the differentiation order for Trig?

Answer 1

Sin –> Cos –> -Sin –> -Cos

Question 2

What is the intergration order for Trig?

Answer 2

-Cos –> -Sin –> Cos –> Sin

Question 3

What is the radian measures? (Main values)

Answer 3

2 pi = 360 degrees
pi = 180 degrees
1/2 pi = 90 degrees
3pi/2 = 270 degrees
1 radian = 180/pi

Question 4

What does Sec equal?

Answer 4

1/cos

Question 5

What does Cosec equal?

Answer 5

1/sin

Question 6

What does Cot equal? (2)

Answer 6

1/tan
cos/sin

Question 7

What laws do not apply in trig?

Answer 7

index laws

Question 8

What is cosec(200) if sin(200) is negative?

Answer 8

negative

Question 9

What is the cosec graph?

Answer 9

. . \ /
| . . / \

| \ /

Question 10

What is the sec graph?

Answer 10

/ . . \
| \ . . /
——–
| . \ / .
| . / \ .

Question 11

What is the cot graph?

Answer 11

. \ | . \

Question 12

2nd Year Identities - What is Cosec^2O equal to?

Answer 12

1 + cot^2O

Question 13

2nd Year Identities - What is Sec^2O equal to?

Answer 13

tan^2O + 1

Question 14

What is the y=arcsinx graph, the domain and the range?

Answer 14

/ | .
reflected over diagonal
domain = -1 < x < 1
range = - pi/2 < arcsinx < pi/2
or -90 < arcsinx < 90

Question 15

What is the y=arccosx, the domain and the range?

Answer 15

. \ |
. . | \
——-
reflected over diagonal
domain = -1 < x < 1
range = 0 < arccosx < pi
or 0 < arccosx < 180

Question 16

What is the y=arctanx, the domain and the range?

Answer 16

. . | . _
. . | / .
———
. / | . .
- . | . .
reflected over diagonal
domain = xER
range = -pi/2 < arctanx < pi/2
or -90 < arctanx < 90