Podcast
Questions and Answers
What is the value of $\sin^{-1} x + \cos^{-1} x$?
What is the value of $\sin^{-1} x + \cos^{-1} x$?
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 $A + B$?
What is the value of $\tan^{-1} x + \cot^{-1} x$?
What is the value of $\tan^{-1} x + \cot^{-1} x$?
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 $A + B$?
Signup and view all the answers
What is the value of $\sin(\sin^{-1} x)$?
What is the value of $\sin(\sin^{-1} x)$?
Signup and view all the answers
What is the value of $\cos(\cos^{-1} x)$?
What is the value of $\cos(\cos^{-1} x)$?
Signup and view all the answers
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?
Signup and view all the answers
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?
Signup and view all the answers
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?
Signup and view all the answers
What is the shape of the graph of a quadratic equation?
What is the shape of the graph of a quadratic equation?
Signup and view all the answers
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?
Signup and view all the answers
What is the domain of the function 𝒚 = 𝑪𝒐𝒔−𝟏 𝒙?
What is the domain of the function 𝒚 = 𝑪𝒐𝒔−𝟏 𝒙?
Signup and view all the answers
What is the process of synthetic division used for?
What is the process of synthetic division used for?
Signup and view all the answers
What is the range of the function 𝒚 = 𝑺𝒊𝒏 𝒙?
What is the range of the function 𝒚 = 𝑺𝒊𝒏 𝒙?
Signup and view all the answers
What is the inverse of the function 𝒚 = 𝑪𝒐𝒔 𝒙?
What is the inverse of the function 𝒚 = 𝑪𝒐𝒔 𝒙?
Signup and view all the answers
What is the value of 𝑺𝒊𝒏 (𝑺𝒊𝒏−𝟏 𝟐)?
What is the value of 𝑺𝒊𝒏 (𝑺𝒊𝒏−𝟏 𝟐)?
Signup and view all the answers
What is the domain of the function 𝒚 = 𝑻𝒂𝒏−𝟏 𝒙?
What is the domain of the function 𝒚 = 𝑻𝒂𝒏−𝟏 𝒙?
Signup and view all the answers
What is the range of the function 𝒚 = 𝑪𝒐𝒕−𝟏 𝒙?
What is the range of the function 𝒚 = 𝑪𝒐𝒕−𝟏 𝒙?
Signup and view all the answers
