For every x ∈ [-1, 1], the value of arcsin x + arccos x is:

For any x ∈ [-1, 1], arcsin x + arccos x = (π)/(2) (a standard identity, since arccos x = (π)/(2) - arcsin x).

Daily Math Problems — May 30, 2026: Determinants, Algebra, Trigonometry

Problems & worked solutions

RO M1

The determinant of $A = (\begin{array}{cc} 3 & 4 \\ 1 & 2 \end{array})$ is:

Show answer & worked solution

$\det A = 3 \cdot 2 - 4 \cdot 1 = 2$ .

RO M1

For the operation $x * y = x + y - 3$ on $R$ , the identity element is:

Show answer & worked solution

$x + e - 3 = x \Rightarrow e = 3$ .

RO M1

For every $x \in [- 1, 1]$ , the value of $\arcsin x + \arccos x$ is:

Show answer & worked solution

For any $x \in [- 1, 1]$ , $\arcsin x + \arccos x = \frac{π}{2}$ (a standard identity, since $\arccos x = \frac{π}{2} - \arcsin x$ ).

Problems & worked solutions

RO M1

The determinant of $A = (\begin{array}{cc} 3 & 4 \\ 1 & 2 \end{array})$ is:

Show answer & worked solution

$\det A = 3 \cdot 2 - 4 \cdot 1 = 2$ .

RO M1

For the operation $x * y = x + y - 3$ on $R$ , the identity element is:

Show answer & worked solution

$x + e - 3 = x \Rightarrow e = 3$ .

RO M1

For every $x \in [- 1, 1]$ , the value of $\arcsin x + \arccos x$ is:

Show answer & worked solution

For any $x \in [- 1, 1]$ , $\arcsin x + \arccos x = \frac{π}{2}$ (a standard identity, since $\arccos x = \frac{π}{2} - \arcsin x$ ).