Y2, C6 - Trigonometric Functions

Question 1

What is secx equal to

Answer 1

secx = 1 / cosx

Question 2

What is cosecx equal to

Answer 2

cosecx = 1 / sinx

Question 3

What is cotx equal to

Answer 3

cotx = 1 / tanx = cosx / sinx

Question 4

What is sec(5pi / 3) equal to

Answer 4

sec(5pi / 3) = 1 / (cos(5pi / 3)) = 1 / (cos(pi/3)) = 2

Question 5

What does the graph of y = cosecx look like

Answer 5

y = sinx graph but with y values reciprocated

Question 6

What is the domain and range of a cosecx graph

Answer 6

Domain: all real numbers except ±pi, ±2pi
Range: f(x) <= -1 or f(x) >= 1 (CHECK IF TRUE)

Question 7

What is sec^2(x) equal to and how is this created

Answer 7

sec^2(x) = 1 + tan^2(x)
Divide sin^2(x) + cos^2(x) = 1 by cos^2(x)

Question 8

What is cosec^2(x) equal to and how is this created

Answer 8

cosec^2(x) = 1 + cot^2(x)
Divide sin^2(x) + cos^2(x) = 1 by sin^2(x)

Question 9

How do the graphs of inverse trigonometric functions look

Answer 9

Reflections of their counterparts in the line y = x
Domains and ranges restricted to keep them as functions having a one-to-one relationship