Question

If $\sin^{-1}x+\sin^{-1}y+\sin^{-1}z=2$ then find the value of $(x+y+z)(x-y-z)$

score 49 · Answer 1 · 2023-11-29 11:47:41

49

Views

If $\sin^{-1}x+\sin^{-1}y+\sin^{-1}z=2$ then find the value of $(x+y+z)(x-y-z)$

Published on 29 Nov 2023 - 11:47

score 74 · Answer 2 · 2023-12-07 04:43:27

74

Views

Find the range of the function $f(x)=(\sin^{-1}x)^2-(\cot^{-1}x)^2$

Published on 07 Dec 2023 - 4:43

score 210 · Answer 3 · 2023-12-21 12:49:32

210

Views

Trying to find an identity for $\arctan(ab)$ in terms of any other trigonometric function

Published on 21 Dec 2023 - 12:49

score 73 · Answer 4 · 2023-12-21 21:33:50

73

Views

Is it possible to cancel out the nested $\arccos$ inside the $\cos$ and $\sin$ in this expression?

Published on 21 Dec 2023 - 21:33

score 74 · Answer 5 · 2023-12-25 15:04:51

74

Views

Triangle function that linearly increases in amplitude and decreases in frequency

Published on 25 Dec 2023 - 15:04

score 81 · Answer 6 · 2024-01-15 22:14:48

81

Views

How to find all solutions to $\cos(x) = a$?

Published on 15 Jan 2024 - 22:14

score 92 · Answer 7 · 2024-01-28 17:05:01

92

Views

Using chain rule to find $\frac{dy}{dx}$ of an inverse sine, got negative of the actual solution

Published on 28 Jan 2024 - 17:05

score 36 · Answer 8 · 2024-01-31 16:25:46

36

Views

Arcsine expressed by complex numbers.

Published on 31 Jan 2024 - 16:25

score 27 · Answer 9 · 2024-02-02 15:52:06

27

Views

How to deal with error caused by sign change in arcsin?

Published on 02 Feb 2024 - 15:52

score 57 · Answer 10 · 2024-02-05 07:19:29

57

Views

How to find when does the derivatives of functions involving some inverse trignometric functions be negative or positive?

Published on 05 Feb 2024 - 7:19

score 183 · Answer 11 · 2024-02-11 12:16:05

183

Views

Solve the equation $\arcsin\bigg(\dfrac{x+1}{\sqrt{x^2+2x+2}}\bigg)-\arcsin\bigg(\dfrac{x}{\sqrt{x^2+1}}\bigg)=\dfrac{\pi}{4}$

Published on 11 Feb 2024 - 12:16

score 71 · Answer 12 · 2024-02-19 03:41:33

71

Views

Creating a relevant right triangle to evaluate $\sec\left(\arctan\frac{4}{3}\right)$

Published on 19 Feb 2024 - 3:41

score 34 · Answer 13 · 2024-02-22 22:22:26

34

Views

Composition of Taylor expansions of trigonometric functions and their inverses.

Published on 22 Feb 2024 - 22:22

score 188 · Answer 14 · 2024-02-23 19:59:39

188

Views

$\frac{\sin3x + 2}{\sin x+2} = 2023^{\sin x-\sin3x}$

Published on 23 Feb 2024 - 19:59

score 90 · Answer 15 · 2024-03-07 16:54:55

90

Views

Why do we turn $|\tan^{-1}\theta|$ to $-\tan^{-1}θ$?

Published on 07 Mar 2024 - 16:54

List Question

If $\sin^{-1}x+\sin^{-1}y+\sin^{-1}z=2$ then find the value of $(x+y+z)(x-y-z)$

Find the range of the function $f(x)=(\sin^{-1}x)^2-(\cot^{-1}x)^2$

Trying to find an identity for $\arctan(ab)$ in terms of any other trigonometric function

Is it possible to cancel out the nested $\arccos$ inside the $\cos$ and $\sin$ in this expression?

Triangle function that linearly increases in amplitude and decreases in frequency

How to find all solutions to $\cos(x) = a$?

Using chain rule to find $\frac{dy}{dx}$ of an inverse sine, got negative of the actual solution

Arcsine expressed by complex numbers.

How to deal with error caused by sign change in arcsin?

How to find when does the derivatives of functions involving some inverse trignometric functions be negative or positive?

Solve the equation $\arcsin\bigg(\dfrac{x+1}{\sqrt{x^2+2x+2}}\bigg)-\arcsin\bigg(\dfrac{x}{\sqrt{x^2+1}}\bigg)=\dfrac{\pi}{4}$

Creating a relevant right triangle to evaluate $\sec\left(\arctan\frac{4}{3}\right)$

Composition of Taylor expansions of trigonometric functions and their inverses.

$\frac{\sin3x + 2}{\sin x+2} = 2023^{\sin x-\sin3x}$

Why do we turn $|\tan^{-1}\theta|$ to $-\tan^{-1}θ$?

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