18 Questions
What is the value of $\sin^{-1} x + \cos^{-1} x$?
$\frac{\pi}{2}$
If $A = \sin^{-1} x$ and $B = \cos^{-1} x$, then what is the value of $A + B$?
$\frac{\pi}{2}$
What is the value of $\tan^{-1} x + \cot^{-1} x$?
$\frac{\pi}{2}$
If $A = \tan^{-1} x$ and $B = \cot^{-1} x$, then what is the value of $A + B$?
$\frac{\pi}{2}$
What is the value of $\sin(\sin^{-1} x)$?
$x$
What is the value of $\cos(\cos^{-1} x)$?
$x$
What is the sum of the roots of the quadratic equation ax² - bx - c = 0, where a ≠ 0?
-b/a
If α and β are the roots of the quadratic equation 3x² - 2x + 4 = 0, what is the value of α + β?
3
What is the condition for the roots of the quadratic equation ax² + bx + c = 0, where a ≠ 0, to be real?
Disc ≥ 0
What is the shape of the graph of a quadratic equation?
Parabola
What is the degree of the quadratic equation ax² + bx + c = 0, where a ≠ 0?
2
What is the domain of the function 𝒚 = 𝑪𝒐𝒔−𝟏 𝒙?
(-1, 1)
What is the process of synthetic division used for?
Division
What is the range of the function 𝒚 = 𝑺𝒊𝒏 𝒙?
[-π/2, π/2]
What is the inverse of the function 𝒚 = 𝑪𝒐𝒔 𝒙?
sec−1 𝒙
What is the value of 𝑺𝒊𝒏 (𝑺𝒊𝒏−𝟏 𝟐)?
1/2
What is the domain of the function 𝒚 = 𝑻𝒂𝒏−𝟏 𝒙?
(-∞, -1] ∪ [1, ∞)
What is the range of the function 𝒚 = 𝑪𝒐𝒕−𝟏 𝒙?
[-π/2, π/2]
Solve quadratic equations and find roots with these challenging problems. Practice quadratic equations with real and complex roots.
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