Question

What is the solution to the trigonometric inequality sin(x)>cos(x) over the interval 0<=x<=2piradians?

ANSWER: C

Answer 1

x > π/4

Explanation:

Given the inequality expression

sin(x)>cos(x)

Divide both sides by cos(x)

sin(x)/cos(x)>cos(x)/cos(x)

tan(x) > 1

x > tan⁻¹1

x > 45⁰

x > π/4

Hence the required solution is x > π/4