List questions from inverse-function

Published on 03 Feb 2018 - 16:37

62

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How do you simplify this trig function algebraically?

Published on 04 Feb 2018 - 6:22

100

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If $f(x)=f^{-1}(x)$ Does it mean $f(x)=x$ or $f(x)=-x$

Published on 04 Feb 2018 - 12:30

282

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Find length of locus of given inverse trigonometric function

Published on 19 Mar 2026 - 16:24

75

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Relating inverse trigonometric functions with $f^{-1}(-x)$

Published on 07 Feb 2018 - 17:50

61

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Solving without squaring

Published on 24 Mar 2026 - 20:30

438

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How can a bijection from $\mathbb R^n \to \mathbb R$ exist when a non square matrix is not invertible?

Published on 24 Mar 2026 - 12:37

1.1k

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Find the third angle of the triangle

Published on 08 Feb 2018 - 22:33

723

Views

In inverse functions, why do we also switch the domain?

Published on 23 Mar 2026 - 1:13

559

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If $\tan^{-1} \left(\frac {\sqrt {1+x^2} - \sqrt {1-x^2}}{\sqrt {1+x^2} + \sqrt {1-x^2}}\right) = \alpha$, then prove $x^2=\sin(2\alpha)$

Published on 10 Feb 2018 - 3:05

210

Views

Sum of the series $\csc^{-1} \sqrt{10}+ \csc^{-1} \sqrt{50}+\csc^{-1}\sqrt{170}...$

Published on 22 Mar 2026 - 23:35

88

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Set of values of $a$ satisfying an inverse trigonometric equation.

Published on 10 Feb 2018 - 19:39

73

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Value of an inverse trigonometric expression

Published on 11 Feb 2018 - 4:38

2.1k

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Derivative of $\arcsin(x)$

Published on 11 Feb 2018 - 12:58

45

Views

Limit containing an unknown inverse function

Published on 12 Feb 2018 - 11:41

List Question

If $\sin^{-1} (x) + \sin^{-1} (y)+ \sin^{-1} (z)=\dfrac {\pi}{2}$, prove that $x^2+y^2+z^2+2xyz=1$

How do you simplify this trig function algebraically?

If $f(x)=f^{-1}(x)$ Does it mean $f(x)=x$ or $f(x)=-x$

Find length of locus of given inverse trigonometric function

Relating inverse trigonometric functions with $f^{-1}(-x)$

Solving without squaring

How can a bijection from $\mathbb R^n \to \mathbb R$ exist when a non square matrix is not invertible?

Find the third angle of the triangle

In inverse functions, why do we also switch the domain?

If $\tan^{-1} \left(\frac {\sqrt {1+x^2} - \sqrt {1-x^2}}{\sqrt {1+x^2} + \sqrt {1-x^2}}\right) = \alpha$, then prove $x^2=\sin(2\alpha)$

Sum of the series $\csc^{-1} \sqrt{10}+ \csc^{-1} \sqrt{50}+\csc^{-1}\sqrt{170}...$

Set of values of $a$ satisfying an inverse trigonometric equation.

Value of an inverse trigonometric expression

Derivative of $\arcsin(x)$

Limit containing an unknown inverse function

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