Podcast
Questions and Answers
What is the value of $\sin^{-1} x + \cos^{-1} x$?
What is the value of $\sin^{-1} x + \cos^{-1} x$?
- $\frac{3\pi}{2}$
- $\pi$
- $\frac{\pi}{2}$ (correct)
- $2\pi$
If $A = \sin^{-1} x$ and $B = \cos^{-1} x$, then what is the value of $A + B$?
If $A = \sin^{-1} x$ and $B = \cos^{-1} x$, then what is the value of $A + B$?
- $\frac{3\pi}{2}$
- $\pi$
- $\frac{\pi}{2}$ (correct)
- $2\pi$
What is the value of $\tan^{-1} x + \cot^{-1} x$?
What is the value of $\tan^{-1} x + \cot^{-1} x$?
- $\pi$
- $\frac{3\pi}{2}$
- $2\pi$
- $\frac{\pi}{2}$ (correct)
If $A = \tan^{-1} x$ and $B = \cot^{-1} x$, then what is the value of $A + B$?
If $A = \tan^{-1} x$ and $B = \cot^{-1} x$, then what is the value of $A + B$?
What is the value of $\sin(\sin^{-1} x)$?
What is the value of $\sin(\sin^{-1} x)$?
What is the value of $\cos(\cos^{-1} x)$?
What is the value of $\cos(\cos^{-1} x)$?
What is the sum of the roots of the quadratic equation ax² - bx - c = 0, where a ≠ 0?
What is the sum of the roots of the quadratic equation ax² - bx - c = 0, where a ≠ 0?
If α and β are the roots of the quadratic equation 3x² - 2x + 4 = 0, what is the value of α + β?
If α and β are the roots of the quadratic equation 3x² - 2x + 4 = 0, what is the value of α + β?
What is the condition for the roots of the quadratic equation ax² + bx + c = 0, where a ≠ 0, to be real?
What is the condition for the roots of the quadratic equation ax² + bx + c = 0, where a ≠ 0, to be real?
What is the shape of the graph of a quadratic equation?
What is the shape of the graph of a quadratic equation?
What is the degree of the quadratic equation ax² + bx + c = 0, where a ≠ 0?
What is the degree of the quadratic equation ax² + bx + c = 0, where a ≠ 0?
What is the domain of the function 𝒚 = 𝑪𝒐𝒔−𝟏 𝒙?
What is the domain of the function 𝒚 = 𝑪𝒐𝒔−𝟏 𝒙?
What is the process of synthetic division used for?
What is the process of synthetic division used for?
What is the range of the function 𝒚 = 𝑺𝒊𝒏 𝒙?
What is the range of the function 𝒚 = 𝑺𝒊𝒏 𝒙?
What is the inverse of the function 𝒚 = 𝑪𝒐𝒔 𝒙?
What is the inverse of the function 𝒚 = 𝑪𝒐𝒔 𝒙?
What is the value of 𝑺𝒊𝒏 (𝑺𝒊𝒏−𝟏 𝟐)?
What is the value of 𝑺𝒊𝒏 (𝑺𝒊𝒏−𝟏 𝟐)?
What is the domain of the function 𝒚 = 𝑻𝒂𝒏−𝟏 𝒙?
What is the domain of the function 𝒚 = 𝑻𝒂𝒏−𝟏 𝒙?
What is the range of the function 𝒚 = 𝑪𝒐𝒕−𝟏 𝒙?
What is the range of the function 𝒚 = 𝑪𝒐𝒕−𝟏 𝒙?