Question

Let $A, B$ and $C$ be the angles of an acute triangle. Show that: $\sin A+\sin B +\sin C > 2$.

score 244 · Answer 1 · 2026-04-23 08:59:46

244

Views

Let $A, B$ and $C$ be the angles of an acute triangle. Show that: $\sin A+\sin B +\sin C > 2$.

Published on 23 Apr 2026 - 8:59

score 100 · Answer 2 · 2026-04-17 02:47:34

100

Views

Evaluate: $\int_{\frac{\pi}{2}}^{\frac{5\pi}{2}} \frac{e^{\cot^{-1}\cos(x)}}{e^{\cot^{-1}\sin(x)}+e^{\cot^{-1}\cos(x)}}dx$

Published on 17 Apr 2026 - 2:47

score 254 · Answer 3 · 2026-05-03 14:00:49

254

Views

Given $f(x) = x \sin\frac1x$, find roots of $f'(x)$ in the interval $0\le x \le \frac 1{\pi}$.

Published on 03 May 2026 - 14:00

score 2.8k · Answer 4 · 2026-04-10 12:17:03

2.8k

Views

Three Dimensional Problems: Angles of Elevation (question below)

Published on 10 Apr 2026 - 12:17

score 1.1k · Answer 5 · 2026-04-15 13:50:33

1.1k

Views

Prove that sec 2x + tan 2x = tan (x + pi/4)

Published on 15 Apr 2026 - 13:50

score 550 · Answer 6 · 2026-04-12 04:59:54

550

Views

Let n be a positive integer such that

Published on 12 Apr 2026 - 4:59

score 149 · Answer 7 · 2026-04-11 12:15:39

149

Views

Trigonometry: finding the length of an arc.

Published on 11 Apr 2026 - 12:15

score 100 · Answer 8 · 2026-04-13 04:35:43

100

Views

Is $f(x,y)=\sin{(x)}+\sin{(y)}$ continuous on $\mathbb{R}^2$?

Published on 13 Apr 2026 - 4:35

score 114 · Answer 9 · 2026-04-17 09:33:48

114

Views

Are there functions besides sine-like, exponential, and affine functions that are "similar" to the graph of their own square?

Published on 17 Apr 2026 - 9:33

score 356 · Answer 10 · 2026-04-15 17:50:44

356

Views

Solve $\frac{\sin(xº)\sin(80º)}{\sin(170º - xº) \sin(70º)} = \frac {\sin(60º)}{\sin (100º)}$

Published on 15 Apr 2026 - 17:50

score 255 · Answer 11 · 2026-04-16 00:08:14

255

Views

Show that $\int_{0}^{\pi/2} \sin^3x \cos^2 x \cos7x ~ dx= \frac{1}{60}.$

Published on 16 Apr 2026 - 0:08

score 141 · Answer 12 · 2026-04-14 18:34:20

141

Views

How to find a general expression to include all angles which have the same sine?

Published on 14 Apr 2026 - 18:34

score 107 · Answer 13 · 2026-04-11 22:36:13

107

Views

Books Recommendation that contains about Versine

Published on 11 Apr 2026 - 22:36

score 383 · Answer 14 · 2026-04-12 18:37:09

383

Views

A strange trigonometric identity

Published on 12 Apr 2026 - 18:37

score 25 · Answer 15 · 2026-04-13 08:47:40

25

Views

How to find the center of a circle moving and rotating in space having the coords of 3 points on the circle?

Published on 13 Apr 2026 - 8:47

List Question

Let $A, B$ and $C$ be the angles of an acute triangle. Show that: $\sin A+\sin B +\sin C > 2$.

Evaluate: $\int_{\frac{\pi}{2}}^{\frac{5\pi}{2}} \frac{e^{\cot^{-1}\cos(x)}}{e^{\cot^{-1}\sin(x)}+e^{\cot^{-1}\cos(x)}}dx$

Given $f(x) = x \sin\frac1x$, find roots of $f'(x)$ in the interval $0\le x \le \frac 1{\pi}$.

Three Dimensional Problems: Angles of Elevation (question below)

Prove that sec 2x + tan 2x = tan (x + pi/4)

Let n be a positive integer such that

Trigonometry: finding the length of an arc.

Is $f(x,y)=\sin{(x)}+\sin{(y)}$ continuous on $\mathbb{R}^2$?

Are there functions besides sine-like, exponential, and affine functions that are "similar" to the graph of their own square?

Solve $\frac{\sin(xº)\sin(80º)}{\sin(170º - xº) \sin(70º)} = \frac {\sin(60º)}{\sin (100º)}$

Show that $\int_{0}^{\pi/2} \sin^3x \cos^2 x \cos7x ~ dx= \frac{1}{60}.$

How to find a general expression to include all angles which have the same sine?

Books Recommendation that contains about Versine

A strange trigonometric identity

How to find the center of a circle moving and rotating in space having the coords of 3 points on the circle?

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