| 1. | If electric field intensity of a uniform plane electromagnetic wave is given as
\[
E=-301.6 \sin... | 13:14 | | SiN
|
| 2. | If electric field intensity of a uniform plane electromagnetic wave is given as
\[
E=-301.6 \sin... | 13:14 | | SiN
|
| 3. | यदि \( x \sin a+y \sin 2 a+z \sin 3 a=\sin 4 a \)
\( x \sin b+y \sin 2 b+z \sin 3 b=\sin 4 b \)
... | 11:04 | | SiN
|
| 4. | If \( n^{2} \sin ^{2}(\alpha+\beta)=\sin ^{2} \alpha+\sin ^{2} \beta-2 \sin \alpha \sin \beta \c... | 10:49 | Let's Play | SiN
|
| 5. | \( \triangle A B C \) में सिद्ध कीजिए कि-
\[
\frac{\sin 2 A+\sin 2 B+\sin 2 C}{\sin A+\sin B+\si... | 10:43 | | SiN
|
| 6. | गणितीय आगमन सिद्धान्त से सिद्ध कीजिए कि
\[
\sin x+\sin 2 x+\sin 3 x+\ldots+\sin n x=\frac{\sin \... | 10:20 | | SiN
|
| 7. | Write down the differential coefficients of \( \sin x \sin 2 x \sin 3 x, \sin x \cdot \sin 2 x /... | 9:59 | | SiN
|
| 8. | Prove that \( \sin x+\sin 3 x+\ldots+\sin (2 n-1) x=\frac{\sin ^{2} n x}{\sin x} \) for all \( n... | 9:55 | | SiN
|
| 9. | Prove that :
\[
\frac{\sin 11 A \sin A+\sin 7 A \sin 3 A}{\cos 11 A \sin A+\cos 7 A \sin 3 A}=\t... | 8:11 | | SiN
|
| 10. | Prove that :
\[
\frac{\sin 11 A \sin A+\sin 7 A \sin 3 A}{\cos 11 A \sin A+\cos 7 A \sin 3 A}=\t... | 8:11 | | SiN
|
| 11. | Let \( P=\sin 25^{\circ} \sin 35^{\circ} \sin 60^{\circ} \sin 85^{\circ} \) and \( Q=\sin 20^{\c... | 7:32 | | SiN
|
| 12. | Let \( P=\sin 25^{\circ} \sin 35^{\circ} \sin 60^{\circ} \sin 85^{\circ} \) and \( Q=\sin 20^{\c... | 7:32 | | SiN
|
| 13. | Let \( P=\sin 25^{\circ} \sin 35^{\circ} \sin 60^{\circ} \sin 85^{\circ} \) and \( Q=\sin 20^{\c... | 7:31 | | SiN
|
| 14. | If in a \( \triangle A B C \),
\( \sin ^{4} A+\sin ^{4} B+\sin ^{4} C \)
\( =\sin ^{2} B \sin ^{... | 7:23 | | SiN
|
| 15. | Prove that \( \sin x+\sin 3 x+\ldots+\sin (2 n-1) x=\frac{\sin ^{2} n x}{\sin x} \) for all \( n... | 6:49 | | SiN
|
| 16. | Prove that \( \sin x+\sin 3 x+\ldots+\sin (2 n-1) x=\frac{\sin ^{2} n x}{\sin x} \) for all \( n... | 6:49 | | SiN
|
| 17. | Write down the differential coefficients of \( \sin 2 x, \sin n x, \sin ^{n} x, \sin x^{n}, \sin... | 6:02 | | SiN
|
| 18. | Prove that:
\[
\frac{\sin 5 x+2 \sin 8 x+\sin 11 x}{\sin 8 x+2 \sin 11 x+\sin 14 x}=\frac{\sin 8... | 5:55 | | SiN
|
| 19. | Prove that \[ \sin x+\sin 2 x+\sin 4 x+\sin 5 x=4 \cos \frac{x}{2} \cos \frac{3 x}{2} \sin 3 x \] | 5:49 | | SiN
|
| 20. | Prove that \[ \sin x+\sin 2 x+\sin 4 x+\sin 5 x=4 \cos \frac{x}{2} \cos \frac{3 x}{2} \sin 3 x \] | 5:49 | | SiN
|
| 21. | Prove that \[ \sin A \sin (A+2 B)-\sin B \sin (B+2 A)=\sin (A-B) \sin (A+B) \] | 5:48 | | SiN
|
| 22. | If \( \sin x+\sin y=\sqrt{3}(\cos y-\cos x) \), then \( \sin 3 x+\sin 3 y= \)
(A) \( 2 \sin 3 x ... | 5:23 | | SiN
|
| 23. | \( \sin 7 \theta+6 \sin 5 \theta+17 \sin 3 \theta+12 \sin \theta \) is equal to \( \sin 6 \theta... | 5:18 | | SiN
|
| 24. | यदि \( A+B+C=0 \) तो सिद्ध कीजिए कि-
\[
\sin A+\sin B+\sin C=-4 \sin \frac{A}{2} \sin \frac{B}{2... | 5:09 | | SiN
|
| 25. | सिद्ध कीजिए कि \( \sin ^{2} B=\sin ^{2} A+\sin ^{2}(A-B)-2 \sin A \) \( \cos B \sin (A-B) \) | 5:06 | | SiN
|
| 26. | Prove that: \[ \sin ^{2} B=\sin ^{2} A+\sin ^{2}(A-B)-2 \sin A \cos B \sin (A-B) \] | 5:03 | | SiN
|
| 27. | सिद्ध कीजिए कि
\[
\begin{aligned}
\sin A+\sin 2 A+& \sin 4 A+\sin 5 A \\
&=4 \sin 3 A \cdot \cos... | 4:45 | | SiN
|
| 28. | If in a \( \triangle A B C \),
\[
(\sin A+\sin B+\sin C)(\sin A+\sin B-\sin C)=3 \sin A \sin B \... | 4:44 | | SiN
|
| 29. | \( \sin 10^{\circ}+\sin 20^{\circ}+\sin 40^{\circ}+\sin 50^{\circ}=\sin 70^{\circ}+\sin 80^{\cir... | 4:39 | | SiN
|
| 30. | यदि \( (1-\sin A)(1-\sin B)(1-\sin C)=(1+\sin A)(1+\sin B)(1+\sin C) \), तो दिखाइए कि प्रत्येक \... | 4:31 | | SiN
|
| 31. | Prove that: \[ \sin ^{2} x+\sin ^{2}(x-y)-2 \sin x \cos y \sin (x-y)=\sin ^{2} y \] | 4:13 | | SiN
|
| 32. | यदि \( (1-\sin A)(1-\sin B)(1-\sin C)=(1+\sin A) \) \( (1+\sin B)(1+\sin C) \), तो सिद्ध कीजिए क... | 4:10 | | SiN
|
| 33. | \( \sin x+\sin 3 x+\sin 5 x+\sin 7 x \) \( =4 \cos x \cos 2 x \sin 4 x \) | 4:07 | | SiN
|
| 34. | \( x \sin a+y \sin 2 a+z \sin 3 a=\sin 4 a \) \( x \sin b+y \sin 2 ... | 4:03 | | SiN
|
| 35. | आवर्त गति करते एक कण का विस्थापन \( y \), समीकरण \( y=4 \cos ^{2}\left(\frac{1}{2} t\right) \sin... | 4:01 | | SiN
|
| 36. | यदि \( (1-\sin A)(1-\sin B)(1-\sin C)=(1+\sin A) \) \( (1+\sin B)(1+\sin C) \), तो सिद्ध कीजिए क... | 3:59 | | SiN
|
| 37. | सिद्ध कीजिए कि \( \sin A \sin 2 A+\sin 3 A \sin 6 A-\sin 4 A \sin 5 A=0 \) | 3:50 | | SiN
|
| 38. | A particle moves along \( y \)-axis according to the equation \( y( \) in \( \mathrm{cm})=3 \sin... | 3:50 | | SiN
|
| 39. | A particle moves along \( y \)-axis according to the equation \( y( \) in \( \mathrm{cm})=3 \sin... | 3:50 | | SiN
|
| 40. | If in a triangle \( A B C(\sin A+\sin B+\sin C) \) \( (\sin A+\sin B-\sin C)=3 \sin A \sin B \),... | 3:47 | | SiN
|
| 41. | If in a triangle \( A B C(\sin A+\sin B+\sin C) \) \( (\sin A+\sin B-\sin C)=3 \sin A \sin B \),... | 3:47 | | SiN
|
| 42. | सिद्ध कीजिए कि
\[
\frac{\sin 5 A+2 \sin 8 A+\sin 11 A}{\sin 8 A+2 \sin 11 A+\sin 14 A}=\frac{\si... | 3:28 | | SiN
|
| 43. | If \( A+B+C=180^{\circ}, \frac{\sin 2 A+\sin 2 B+\sin 2 C}{\sin A+\sin B+\sin C}=k \sin \frac{A}... | 3:28 | | SiN
|
| 44. | If \( A+B+C=180^{\circ}, \frac{\sin 2 A+\sin 2 B+\sin 2 C}{\sin A+\sin B+\sin C}=k \sin \frac{A}... | 3:28 | | SiN
|
| 45. | Mark the correct alternative in each of the following:
If \( f(x)=\left\{\begin{array}{cc}x \sin... | 3:24 | | SiN
|
| 46. | Force \( \mathrm{F} \) is given in terms of time t and distance x by F \( =\mathrm{A} \sin... | 3:11 | | SiN
|
| 47. | Prove that: \[ \sin (x+y) \sin (x-y)+\sin (y+z) \sin (y-z)+\sin (z+x) \sin (z-x)=0 \] | 2:55 | | SiN
|
| 48. | Given that the displacement of an oscillating particle is given by \( \mathrm{y}=\mathrm{A} \sin... | 2:44 | | SiN
|
| 49. | For an \( A C \) circuit the potential difference and current are given by \( V=10 \sqrt{2} \sin.... | 2:38 | | SiN
|
| 50. | सिद्ध कीजिए कि
\[
\begin{aligned}
\sin A+\sin 2 A+& \sin 4 A+\sin 5 A \\
&=4 \sin 3 A \cdot \cos... | 2:29 | | SiN
|
| 51. | \( \sin 47^{\circ}+\sin 61^{\circ}-\sin 11^{\circ}-\sin 25^{\circ} \) is equal to
(1) \( \sin 36.... | 2:20 | | SiN
|
| 52. | \( \frac{\sin x}{\sin 2 x \sin 3 x}+\frac{\sin x}{\sin 3 x \sin 4 x... | 1:46 | | SiN
|
| 53. | Prove that \(sin\ x + sin\ 3x + sin\ 5x + sin\ 7x = 4cos\ x \cdot cos\ 2x \cdot sin\ 4x\)... | 1:45 | | SiN
|
| 54. | If \\(A=\\left[\\begin{array}{cc}\\cos \\alpha & -\\sin \\alpha \\\\ \\sin \\alpha & \\c.... | 0:00 | | SiN
|
