Question

Two equal segments, two known angles, find angle in triangle

score 400 · Answer 1 · 2026-03-25 17:31:03

400

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Two equal segments, two known angles, find angle in triangle

Published on 25 Mar 2026 - 17:31

score 79 · Answer 2 · 2026-04-16 19:11:33

79

Views

Showing that $a \sin x \pm b \cos y =\sqrt{q^2+r^2}\;\sin\left(\frac{x\pm y}{2}+\arctan\frac{r}{q}\right)$

Published on 16 Apr 2026 - 19:11

score 433 · Answer 3 · 2026-04-12 17:31:51

433

Views

Perturbation expansion within trig function

Published on 12 Apr 2026 - 17:31

score 658 · Answer 4 · 2026-04-16 05:29:55

658

Views

If $\sum_{i=1}^n \cos \theta_i$=n, then find the value of $\sum_{i=1}^n \sin \theta_i$

Published on 16 Apr 2026 - 5:29

score 145 · Answer 5 · 2026-04-09 23:03:26

145

Views

Sum of Sine and Cosine to Higher Powers Is Constant (Recursion, Proofs)

Published on 09 Apr 2026 - 23:03

score 41 · Answer 6 · 2026-04-15 13:54:49

41

Views

Given a speed and angle, find a point at time T.

Published on 15 Apr 2026 - 13:54

score 611 · Answer 7 · 2026-04-11 08:49:07

611

Views

Calculating the double integral with an integration area given by a hexagon

Published on 11 Apr 2026 - 8:49

score 161 · Answer 8 · 2026-04-15 19:50:38

161

Views

If $\sum_{n=1}^\infty\tan^{-1}\left(\frac4{n^2+n+16}\right)=\tan^{-1}\left(\frac\alpha{ 10 }\right)$, then find $\alpha$.

Published on 15 Apr 2026 - 19:50

score 63 · Answer 9 · 2026-04-13 17:03:13

63

Views

Finding coordinates of a point in a $2d$ space

Published on 13 Apr 2026 - 17:03

score 722 · Answer 10 · 2026-04-12 10:02:02

722

Views

Intersection of any function and a circle

Published on 12 Apr 2026 - 10:02

score 677 · Answer 11 · 2026-04-15 00:38:33

677

Views

If $y = (1 + \tan A)(1 - \tan B)$, where $A - B = \frac{\pi}{4}$ , then find the value of $(y+1)^{y+1}$.

Published on 15 Apr 2026 - 0:38

score 253 · Answer 12 · 2026-04-16 01:14:02

253

Views

If $\sec(t) = a + 1/(4a)$, prove that $\sec(t) + \tan(t) = 2a$ or $1/(2a)$

Published on 16 Apr 2026 - 1:14

score 252 · Answer 13 · 2026-04-16 13:08:22

If $x$ and $y$ are acute angles, such that $\cos x+\cos y = \frac32$ and $\sin x+\sin y= \frac34$, then evaluate $\sin(x+y)$.

score 429 · Answer 14 · 2026-04-16 21:55:31

429

Views

Period of the function cos (2tanx)+cos (2cotx)

Published on 16 Apr 2026 - 21:55

score 101 · Answer 15 · 2026-04-14 01:43:10

101

Views

What would a change of basis matrix look like between the abstract vector spaces of $\cos^k(x)$ and $\cos(kx)$?

Published on 14 Apr 2026 - 1:43

List Question

Two equal segments, two known angles, find angle in triangle

Showing that $a \sin x \pm b \cos y =\sqrt{q^2+r^2}\;\sin\left(\frac{x\pm y}{2}+\arctan\frac{r}{q}\right)$

Perturbation expansion within trig function

If $\sum_{i=1}^n \cos \theta_i$=n, then find the value of $\sum_{i=1}^n \sin \theta_i$

Sum of Sine and Cosine to Higher Powers Is Constant (Recursion, Proofs)

Given a speed and angle, find a point at time T.

Calculating the double integral with an integration area given by a hexagon

If $\sum_{n=1}^\infty\tan^{-1}\left(\frac4{n^2+n+16}\right)=\tan^{-1}\left(\frac\alpha{ 10 }\right)$, then find $\alpha$.

Finding coordinates of a point in a $2d$ space

Intersection of any function and a circle

If $y = (1 + \tan A)(1 - \tan B)$, where $A - B = \frac{\pi}{4}$ , then find the value of $(y+1)^{y+1}$.

If $\sec(t) = a + 1/(4a)$, prove that $\sec(t) + \tan(t) = 2a$ or $1/(2a)$

If $x$ and $y$ are acute angles, such that $\cos x+\cos y = \frac32$ and $\sin x+\sin y= \frac34$, then evaluate $\sin(x+y)$.

Period of the function cos (2tanx)+cos (2cotx)

What would a change of basis matrix look like between the abstract vector spaces of $\cos^k(x)$ and $\cos(kx)$?

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