Question

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

score 50 · Answer 1 · 2026-03-30 05:13:52

50

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 30 Mar 2026 - 5:13

score 75 · Answer 2 · 2026-03-30 05:15:27

75

Views

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

Published on 30 Mar 2026 - 5:15

score 211 · Answer 3 · 2026-03-30 05:13:50

211

Views

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

Published on 30 Mar 2026 - 5:13

score 74 · Answer 4 · 2026-03-30 05:15:27

74

Views

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

Published on 30 Mar 2026 - 5:15

score 75 · Answer 5 · 2026-03-30 05:16:25

75

Views

Triangle function that linearly increases in amplitude and decreases in frequency

Published on 30 Mar 2026 - 5:16

score 82 · Answer 6 · 2026-03-30 05:15:34

82

Views

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

Published on 30 Mar 2026 - 5:15

score 93 · Answer 7 · 2026-03-30 05:13:57

93

Views

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

Published on 30 Mar 2026 - 5:13

score 37 · Answer 8 · 2026-03-30 05:11:20

37

Views

Arcsine expressed by complex numbers.

Published on 30 Mar 2026 - 5:11

score 28 · Answer 9 · 2026-03-30 03:37:54

28

Views

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

Published on 30 Mar 2026 - 3:37

score 58 · Answer 10 · 2026-03-30 05:13:46

58

Views

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

Published on 30 Mar 2026 - 5:13

score 184 · Answer 11 · 2026-03-30 05:13:43

184

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 30 Mar 2026 - 5:13

score 72 · Answer 12 · 2026-03-30 05:12:24

72

Views

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

Published on 30 Mar 2026 - 5:12

score 35 · Answer 13 · 2026-03-30 05:13:49

35

Views

Composition of Taylor expansions of trigonometric functions and their inverses.

Published on 30 Mar 2026 - 5:13

score 189 · Answer 14 · 2026-03-30 05:12:25

189

Views

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

Published on 30 Mar 2026 - 5:12

score 91 · Answer 15 · 2026-03-30 05:15:32

91

Views

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

Published on 30 Mar 2026 - 5:15

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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