Question

Which $F$ & $G$ satisfy $\int_0^{\pi}F(\sin (x))\cos (x)\, dx=0$ &$\int_{-\pi/2}^{\pi/2}\sin (x)\,G(\cos (x))\,dx=0$?

score 152 · Answer 1 · 2026-04-17 01:48:32

152

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Which $F$ & $G$ satisfy $\int_0^{\pi}F(\sin (x))\cos (x)\, dx=0$ &$\int_{-\pi/2}^{\pi/2}\sin (x)\,G(\cos (x))\,dx=0$?

Published on 17 Apr 2026 - 1:48

score 182 · Answer 2 · 2026-04-11 10:16:06

182

Views

How do we solve for x using Euler Identity in $\tan(2x) = -1$?

Published on 11 Apr 2026 - 10:16

score 119 · Answer 3 · 2026-04-16 17:13:19

119

Views

Prove that $257 + 32\cos 4t > 256 \cos^2t$

Published on 16 Apr 2026 - 17:13

score 190 · Answer 4 · 2026-04-10 15:10:08

190

Views

Adding trig functions with different frequencies

Published on 10 Apr 2026 - 15:10

score 88 · Answer 5 · 2026-04-16 01:11:24

88

Views

Proof that the set $\left\{ {\cos \left( {\frac{{n\pi x}}{L}} \right)} \right\}_{n\,\, = \,\,0}^\infty$ is orthogonal

Published on 16 Apr 2026 - 1:11

score 61 · Answer 6 · 2026-04-15 07:34:39

61

Views

Find the area of triangle $SVW$

Published on 15 Apr 2026 - 7:34

score 276 · Answer 7 · 2026-04-11 06:18:34

276

Views

$dxdy=rdrd\theta$

Published on 11 Apr 2026 - 6:18

score 549 · Answer 8 · 2026-04-15 09:48:13

549

Views

Using roots of unity to find exact trig values

Published on 15 Apr 2026 - 9:48

score 67 · Answer 9 · 2026-04-10 11:16:12

67

Views

simplify the summation of harmonic cosines

Published on 10 Apr 2026 - 11:16

score 188 · Answer 10 · 2026-04-16 19:28:52

188

Views

How to prove $\cos(x)=\cos(-x)$?

Published on 16 Apr 2026 - 19:28

score 170 · Answer 11 · 2026-04-13 23:07:59

170

Views

Exercise 3 in Section 7.11 of Apostol's Calculus (Vol. 1) little o-notation

Published on 13 Apr 2026 - 23:07

score 79 · Answer 12 · 2026-04-17 11:08:57

79

Views

Showing that $\frac{x^2+2x\cos2\alpha+1}{x^2+2x\cos2\beta+1}$ lies between $\frac{\cos^2\alpha}{\cos^2\beta}$ and $\frac{\sin^2\alpha}{\sin^2\beta}$

Published on 17 Apr 2026 - 11:08

score 208 · Answer 13 · 2026-04-17 02:58:22

208

Views

Find the vertical asymptotes of the graph $(\!{\rm C}\!)$ of the function $y= \frac{1}{x\,\sin\frac{1}{x}}$ .

Published on 17 Apr 2026 - 2:58

score 213 · Answer 14 · 2026-04-18 13:26:06

213

Views

Calculate the outside (border) of intersecting circles

Published on 18 Apr 2026 - 13:26

score 144 · Answer 15 · 2026-04-13 17:48:05

144

Views

Why is $\tan(-\frac{\pi}{2})<\tan(x)<\tan(\frac{\pi}{2})$ equivalent to $-\infty<\tan(x)<\infty$?

Published on 13 Apr 2026 - 17:48

List Question

Which $F$ & $G$ satisfy $\int_0^{\pi}F(\sin (x))\cos (x)\, dx=0$ &$\int_{-\pi/2}^{\pi/2}\sin (x)\,G(\cos (x))\,dx=0$?

How do we solve for x using Euler Identity in $\tan(2x) = -1$?

Prove that $257 + 32\cos 4t > 256 \cos^2t$

Adding trig functions with different frequencies

Proof that the set $\left\{ {\cos \left( {\frac{{n\pi x}}{L}} \right)} \right\}_{n\,\, = \,\,0}^\infty$ is orthogonal

Find the area of triangle $SVW$

$dxdy=rdrd\theta$

Using roots of unity to find exact trig values

simplify the summation of harmonic cosines

How to prove $\cos(x)=\cos(-x)$?

Exercise 3 in Section 7.11 of Apostol's Calculus (Vol. 1) little o-notation

Showing that $\frac{x^2+2x\cos2\alpha+1}{x^2+2x\cos2\beta+1}$ lies between $\frac{\cos^2\alpha}{\cos^2\beta}$ and $\frac{\sin^2\alpha}{\sin^2\beta}$

Find the vertical asymptotes of the graph $(\!{\rm C}\!)$ of the function $y= \frac{1}{x\,\sin\frac{1}{x}}$ .

Calculate the outside (border) of intersecting circles

Why is $\tan(-\frac{\pi}{2})<\tan(x)<\tan(\frac{\pi}{2})$ equivalent to $-\infty<\tan(x)<\infty$?

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