Question

Which of the following values for x is a counterexample to the claim that cot(pi/2-x)=tan x is an identity?

Question options:

a)

pi

b)

pi/2

c)

cot(pi/2-x)=tan x is an identity

d)

3pi/4

Answer 1

C - always true since
co-f(π/2 - x) = f(x)
The co- in co-sin, co-tan, co-sec means "complement of x"

Answer 2

a) pi

Answer 3

Yes, that's correct! The identity cot(pi/2-x) = tan x is always true.