Trigonometry Y.2

Question 1

What is sec x?

Answer 1

1/cos x

Question 2

What is cosec x?

Answer 2

1/sin x

Question 3

What is cot x?

Answer 3

1/tan x OR cos x/sin x

Question 4

Where are the asymptotes on sec x graph?

Answer 4

all values for x where cos x=0 (any odd multiple of 90)

Question 5

Where are the asymptotes on cosec x graph?

Answer 5

all values of x where sin x=0 (any multiple of 180)

Question 6

Where are the asymptotes on cot x graph?

Answer 6

all values of x where tan x=0 (any multiple of 180)

Question 7

What are the ranges for cosec x AND sec x graphs?

Answer 7

y≤-1
y≥1

Question 8

What identity links tan and sec?

Answer 8

1+tan^2x=sec^2x

Question 9

What identity links cot and cosec?

Answer 9

1+cot^2x=cosec^2x

Question 10

What is the domain of arcsin x AND arccos x?

Answer 10

-1≤x≤1

Question 11

What is the range of arcsin x?

Answer 11

-90 ≤ arcsin x ≤ 90

Question 12

What is the range of arccos x?

Answer 12

0 ≤ arccos x ≤180

Question 13

What is the domain of arctan x?

Answer 13

any real number

Question 14

What is the range of arctan x?

Answer 14

-90 < arctan x < 90

Question 15

What is the sin addition formular?

Answer 15

sin(A±B) = sinAcosB ± cosAsinB

Question 16

What is the tan addition formular?

Answer 16

tan(A±B) = (tanA±tanB)/(1∓tanAtanB)

Question 17

What is the cos addition formular?

Answer 17

cos(A±B) = cosAcosB ∓ sinAsinB

Question 18

sin2A?

Answer 18

= 2sinAcosA

Question 19

cos2A?

Answer 19

= cos^2A - sin^2A
= 2cos^2A - 1
= 1 - 2sin^2A

Question 20

tan2A?

Answer 20

= 2tanA / 1-tan^2A