Question

As angle x increases from 0 to $2\pi$ radians, tan x increases in

• A. no quadrants
• B. the first and third quadrants only
• C. the second and fourth quadrants only
• D. all four quadrants
• E. the first and second quadrants only

Answer 1

Answer: (D)

all four quadrants

• Given that $x$ increases from $0$ to infinite
  
• Observe that graph of $tanx$ is always increasing for all values of $x$
• Therefore $tanx$ is increasing in all four quadrants