Question

If $\sin(18^\circ)=\frac{a + \sqrt{b}}{c}$, then what is $a+b+c$?

score 411 · Answer 1 · 2026-04-16 07:30:04

411

Views

If $\sin(18^\circ)=\frac{a + \sqrt{b}}{c}$, then what is $a+b+c$?

Published on 16 Apr 2026 - 7:30

score 68 · Answer 2 · 2026-04-14 20:39:59

68

Views

How is $\sum_{k=0}^{5} {}^5C_k\sin(kx)\cos(5-k)x=16\sin(5x)$?

Published on 14 Apr 2026 - 20:39

score 57 · Answer 3 · 2026-04-09 10:38:57

57

Views

Complex Variables

Published on 09 Apr 2026 - 10:38

score 38 · Answer 4 · 2026-04-14 00:36:49

38

Views

Is there an elementary proof for that arctg of a rational number is not a rational multiple of pi?

Published on 14 Apr 2026 - 0:36

score 52 · Answer 5 · 2026-04-12 02:03:58

52

Views

Finite series with sine in the denominator

Published on 12 Apr 2026 - 2:03

score 81 · Answer 6 · 2026-04-09 06:01:33

81

Views

How to simplify the expression $\csc18°*\sec36°$?

Published on 09 Apr 2026 - 6:01

score 148 · Answer 7 · 2026-04-15 16:30:22

148

Views

Find the Minimum Value of $x^2+y^2$

Published on 15 Apr 2026 - 16:30

score 705 · Answer 8 · 2026-04-16 20:05:51

705

Views

Solving $3\sin^2x - 4\sin x\cos x + 5\cos^2x = 2$

Published on 16 Apr 2026 - 20:05

score 1.4k · Answer 9 · 2026-04-11 12:59:42

1.4k

Views

Sin(x+h) Taylor’s series. Is ‘h’ in degrees or radian?

Published on 11 Apr 2026 - 12:59

score 3.5k · Answer 10 · 2026-04-11 18:21:34

$\sin(\theta) + \sin(5\theta) = \sin(3\theta)$ . Find number of solutions and the solutions for this equation in $[0,\pi]$

score 307 · Answer 11 · 2026-04-15 22:38:36

Prove that: $\operatorname{cosec}(2A) + \operatorname{cosec}(4A) + \operatorname{cosec}(8A) = \cot(A) - \cot(8A) $

score 720 · Answer 12 · 2026-04-14 09:04:37

720

Views

Finding point(s) of intersection between $f(x)= \cos (2x)$ and $g(x)=- \cos x$

Published on 14 Apr 2026 - 9:04

score 127 · Answer 13 · 2026-04-10 18:21:28

127

Views

Find the general solution for this equation sin5θcos3θ = sin6θcos2θ.

Published on 10 Apr 2026 - 18:21

score 201 · Answer 14 · 2026-04-16 09:14:44

201

Views

For $\sin 5θ\cos 3θ = \sin 6θ\cos 2θ$ find the solution and number of solutions $[0,2\pi]$.

Published on 16 Apr 2026 - 9:14

score 46 · Answer 15 · 2026-04-11 23:21:17

46

Views

Finding range of $a$ in exponential inequality

Published on 11 Apr 2026 - 23:21

List Question

If $\sin(18^\circ)=\frac{a + \sqrt{b}}{c}$, then what is $a+b+c$?

How is $\sum_{k=0}^{5} {}^5C_k\sin(kx)\cos(5-k)x=16\sin(5x)$?

Complex Variables

Is there an elementary proof for that arctg of a rational number is not a rational multiple of pi?

Finite series with sine in the denominator

How to simplify the expression $\csc18°*\sec36°$?

Find the Minimum Value of $x^2+y^2$

Solving $3\sin^2x - 4\sin x\cos x + 5\cos^2x = 2$

Sin(x+h) Taylor’s series. Is ‘h’ in degrees or radian?

$\sin(\theta) + \sin(5\theta) = \sin(3\theta)$ . Find number of solutions and the solutions for this equation in $[0,\pi]$

Prove that: $\operatorname{cosec}(2A) + \operatorname{cosec}(4A) + \operatorname{cosec}(8A) = \cot(A) - \cot(8A) $

Finding point(s) of intersection between $f(x)= \cos (2x)$ and $g(x)=- \cos x$

Find the general solution for this equation sin5θcos3θ = sin6θcos2θ.

For $\sin 5θ\cos 3θ = \sin 6θ\cos 2θ$ find the solution and number of solutions $[0,2\pi]$.

Finding range of $a$ in exponential inequality

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