Question

Derive the conditions for $\tan^{-1}x+\tan^{-1}y=\pi+\tan^{-1}\frac{x+y}{1-xy}$

score 114 · Answer 1 · 2018-01-27 12:20:43

114

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Derive the conditions for $\tan^{-1}x+\tan^{-1}y=\pi+\tan^{-1}\frac{x+y}{1-xy}$

Published on 27 Jan 2018 - 12:20

score 1.3k · Answer 2 · 2018-01-27 15:19:57

1.3k

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Prove that: $\tan (2\tan^{-1} (x))=2\tan (\tan^{-1} (x)+\tan^{-1} (x^3))$

Published on 27 Jan 2018 - 15:19

score 65 · Answer 3 · 2026-03-23 01:04:02

65

Views

Inverse cosine inside floor function derivative

Published on 23 Mar 2026 - 1:04

score 2.5k · Answer 4 · 2026-03-22 20:00:51

2.5k

Views

Express $2\tan^{-1}x$ in terms of $\sin^{-1}$ and $\cos^{-1}$

Published on 22 Mar 2026 - 20:00

score 139 · Answer 5 · 2018-01-29 16:38:26

139

Views

Simplify $\tan^{-1}\Big[\frac{\cos x-\sin x}{\cos x+\sin x}\Big]$, where $x<\pi$

Published on 29 Jan 2018 - 16:38

score 97 · Answer 6 · 2026-03-16 21:31:26

97

Views

Minimum value of $(a+1)(b+1)$

Published on 16 Mar 2026 - 21:31

score 952 · Answer 7 · 2026-03-22 03:27:19

952

Views

Inverse Transform Method for a pdf

Published on 22 Mar 2026 - 3:27

score 315 · Answer 8 · 2018-01-30 17:14:55

315

Views

Proving that $\cos^{-1}\frac{4}{5}+\cos^{-1}\frac{12}{13}=\cos^{-1}\frac{33}{65}$

Published on 30 Jan 2018 - 17:14

score 611 · Answer 9 · 2018-01-31 00:29:49

611

Views

Finding inverse function of a function with multiple variable

Published on 31 Jan 2018 - 0:29

score 100 · Answer 10 · 2018-01-31 08:38:10

100

Views

Proper way to solve $2\tan^{-1}(\cos x)=\tan^{-1}(2\csc x)$

Published on 31 Jan 2018 - 8:38

score 31 · Answer 11 · 2026-03-22 03:42:57

31

Views

Find the inverse of the following map

Published on 22 Mar 2026 - 3:42

score 151 · Answer 12 · 2018-01-31 16:35:25

151

Views

Find the value of $\sin \left(\cos^{-1} (\frac {1}{2}) + \sin^{-1} (\frac {3}{5})\right)$

Published on 31 Jan 2018 - 16:35

score 74 · Answer 13 · 2018-02-02 07:09:57

74

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Solving $\cos\big(\tan^{-1}x\big)=\sin\big(\cot^{-1}\frac{3}{4}\big)$

Published on 02 Feb 2018 - 7:09

score 117 · Answer 14 · 2018-02-02 11:18:22

117

Views

How to prove $\tan\Big[\frac{1}{2}\sin^{-1}\frac{3}{4}\Big]=\frac{4-\sqrt{7}}{3}$

Published on 02 Feb 2018 - 11:18

score 54 · Answer 15 · 2026-03-17 23:13:04

54

Views

Difficulty proving congruence property(Modular Multiplicative Inverse).

Published on 17 Mar 2026 - 23:13

List Question

Derive the conditions for $\tan^{-1}x+\tan^{-1}y=\pi+\tan^{-1}\frac{x+y}{1-xy}$

Prove that: $\tan (2\tan^{-1} (x))=2\tan (\tan^{-1} (x)+\tan^{-1} (x^3))$

Inverse cosine inside floor function derivative

Express $2\tan^{-1}x$ in terms of $\sin^{-1}$ and $\cos^{-1}$

Simplify $\tan^{-1}\Big[\frac{\cos x-\sin x}{\cos x+\sin x}\Big]$, where $x<\pi$

Minimum value of $(a+1)(b+1)$

Inverse Transform Method for a pdf

Proving that $\cos^{-1}\frac{4}{5}+\cos^{-1}\frac{12}{13}=\cos^{-1}\frac{33}{65}$

Finding inverse function of a function with multiple variable

Proper way to solve $2\tan^{-1}(\cos x)=\tan^{-1}(2\csc x)$

Find the inverse of the following map

Find the value of $\sin \left(\cos^{-1} (\frac {1}{2}) + \sin^{-1} (\frac {3}{5})\right)$

Solving $\cos\big(\tan^{-1}x\big)=\sin\big(\cot^{-1}\frac{3}{4}\big)$

How to prove $\tan\Big[\frac{1}{2}\sin^{-1}\frac{3}{4}\Big]=\frac{4-\sqrt{7}}{3}$

Difficulty proving congruence property(Modular Multiplicative Inverse).

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