Daily Math · 2026-05-27

Question 1

Find $\sin 75° - \sin 15°$.

Accepted Answer

$\dfrac{\sqrt{2}}{2}$

Answer

$\dfrac{\sqrt{6}}{2}$

Answer

$\dfrac{\sqrt{3}}{2}$

Answer

$\dfrac{1}{2}$

Answer

$1$

Answer

$\dfrac{\sqrt{2}}{4}$

Question 2

The remainder of the division of $P(X) = X^3 + 2X^2 - X + 5$ by $X - 1$ is:

Accepted Answer

$7$

Answer

$0$

Answer

$5$

Answer

$9$

Question 3

For $f$ continuous and non-negative on $[a, b]$ with $b > a$:

Accepted Answer

$\int_a^b f \ge 0$

Answer

$\int_a^b f < 0$ always

Answer

$\int_a^b f = 0$ always

Answer

$\int_a^b f$ depends only on $b$