Question

Identify the statements among a–h that follow directly from the given condition about x, where sinx=0.

a) cosx=1
b) x=kπ where k is an integer
c) tanx=0
d) cscx=1
e) x=π/2
f) cotx is undefined
g) sin2x=0
h) secx is undefined

Answer 1

The statements that follow directly from sinx = 0 are: x = kπ where k is an integer, tanx = 0, cotx is undefined, sin2x = 0, and secx is undefined.

Step-by-step explanation:

The statements that follow directly from the given condition sinx = 0 are:

b) x = kπ where k is an integer

c) tanx = 0

f) cotx is undefined

g) sin2x = 0

h) secx is undefined

These statements can be derived from the properties and relationships of trigonometric functions.