Question

Prove the identity $\csc2\theta=\frac{\sec\theta\csc\theta}{2}$

score 648 · Answer 1 · 2018-12-04 19:17:56

648

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Prove the identity $\csc2\theta=\frac{\sec\theta\csc\theta}{2}$

Published on 04 Dec 2018 - 19:17

score 3.8k · Answer 2 · 2026-04-10 06:49:40

3.8k

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Learning $\arcsin, \arccos, \arctan$ - how to?

Published on 10 Apr 2026 - 6:49

score 100 · Answer 3 · 2026-03-26 14:34:52

100

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Is $f(f^{-1}(x))=x \quad \land \quad f^{-1}(f(x))=x$ true for all inverse trigonometric functions?

Published on 26 Mar 2026 - 14:34

score 52 · Answer 4 · 2026-04-12 19:45:23

52

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Help me figure out how to come up with the start of this proof on my own?

Published on 12 Apr 2026 - 19:45

score 276 · Answer 5 · 2018-12-05 14:21:46

276

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Given visible landmarks of known location, and no magnetic compass, can you calculate your position?

Published on 05 Dec 2018 - 14:21

score 63 · Answer 6 · 2026-04-14 04:49:45

63

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For $0 \le \theta \le \pi/2$, When are both $\theta/\pi$ and $\sqrt2\sin\theta$ rational?

Published on 14 Apr 2026 - 4:49

score 54 · Answer 7 · 2026-04-13 17:36:45

54

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From $\cos(x-y)$ to $f(x+y)$?

Published on 13 Apr 2026 - 17:36

score 99 · Answer 8 · 2026-03-25 09:51:14

99

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Number of discontinuities of $\lfloor\sin ^{-1} x\rfloor+\lfloor\cos ^{-1} x\rfloor$

Published on 25 Mar 2026 - 9:51

score 1.8k · Answer 9 · 2026-03-26 14:34:44

1.8k

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$\tan^{-1}x+\tan^{-1}y+\tan^{-1}z=\tan^{-1}\frac{x+y+z-xyz}{1-xy-yz-zx}$ true for all $x$?

Published on 26 Mar 2026 - 14:34

score 675 · Answer 10 · 2026-04-12 23:54:27

675

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Combining 2 angles as

Published on 12 Apr 2026 - 23:54

score 403 · Answer 11 · 2018-12-05 20:27:28

Proving $(\sec^2x+\tan^2x)(\csc^2x+\cot^2x)=1+2\sec^2x\csc^2x$ and $\frac{\cos x}{1-\tan x}+\frac{\sin x}{1-\cot x} = \sin x + \cos x $

score 945 · Answer 12 · 2018-12-05 20:51:13

945

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time difference between 2 geographic coordinates

Published on 05 Dec 2018 - 20:51

score 187 · Answer 13 · 2026-03-26 14:33:54

187

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Expression for $\cos^{-1}x\pm\cos^{-1}y$

Published on 26 Mar 2026 - 14:33

score 154 · Answer 14 · 2026-03-28 15:35:46

154

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When I'm given $\sin(x)$, what goes inside of the $x$?

Published on 28 Mar 2026 - 15:35

score 1.1k · Answer 15 · 2026-04-12 17:42:52

1.1k

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Proof that $\cos(2\theta) = \cos^2\theta-\sin^2\theta$ by showing equivalence of derivatives

Published on 12 Apr 2026 - 17:42

List Question

Prove the identity $\csc2\theta=\frac{\sec\theta\csc\theta}{2}$

Learning $\arcsin, \arccos, \arctan$ - how to?

Is $f(f^{-1}(x))=x \quad \land \quad f^{-1}(f(x))=x$ true for all inverse trigonometric functions?

Help me figure out how to come up with the start of this proof on my own?

Given visible landmarks of known location, and no magnetic compass, can you calculate your position?

For $0 \le \theta \le \pi/2$, When are both $\theta/\pi$ and $\sqrt2\sin\theta$ rational?

From $\cos(x-y)$ to $f(x+y)$?

Number of discontinuities of $\lfloor\sin ^{-1} x\rfloor+\lfloor\cos ^{-1} x\rfloor$

$\tan^{-1}x+\tan^{-1}y+\tan^{-1}z=\tan^{-1}\frac{x+y+z-xyz}{1-xy-yz-zx}$ true for all $x$?

Combining 2 angles as

Proving $(\sec^2x+\tan^2x)(\csc^2x+\cot^2x)=1+2\sec^2x\csc^2x$ and $\frac{\cos x}{1-\tan x}+\frac{\sin x}{1-\cot x} = \sin x + \cos x $

time difference between 2 geographic coordinates

Expression for $\cos^{-1}x\pm\cos^{-1}y$

When I'm given $\sin(x)$, what goes inside of the $x$?

Proof that $\cos(2\theta) = \cos^2\theta-\sin^2\theta$ by showing equivalence of derivatives

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