Question

PRE CALC HELP!!! 100 PTS AND BRAINLIEST

Answer 1

Answer:

π/4 < x < 5π/4.

Answer 2

Hello!

$\large\boxed{\frac{\pi }{4} < x < \frac{5\pi }{4}}$

To begin, we can solve the inequality:

sin(x) > cos(x)

Divide both sides by cos(x):

sin(x) / cos(x) > 1

tan(x) > 1

x > π/4

However, we can also solve it the other way to produce the end to the interval:

sin(x) > cos(x)

1 > cot(x)

x < 5π/4

Therefore, sin(x) > cos(x) on the interval π/4 < x < 5π/4.