3 ∫0π2 sin 3x ecos 3x dx = ?

The value of the expression:sin²1° + sin²11° + sin²21° + sin²31° + sin²41° + sin²45° + sin²49° + sin²59° + sin²69° + sin²79° + sin²89° is?

ক

0

খ

$${\text{5}}\frac{1}{2}$$

গ

$${\text{4}}\frac{1}{2}$$

ঘ

5

What is the value of [sin (y – z) + sin (y + z) + 2 sin y]/[sin (x – z) + sin (x + z) + 2 sin x]?

ক

cos x sin y

খ

(sin y)\/(sin x)

গ

sin z

ঘ

sin x tan y

Evaluate the following:
$$\frac{{\cos 2\theta \cdot \cos 3\theta - \cos 2\theta \cdot \cos 7\theta + \cos \theta \cdot \cos 10\theta }}{{\sin 4\theta \cdot \sin 3\theta - \sin 2\theta \cdot \sin 5\theta + \sin 4\theta \cdot \sin 7\theta }}$$

ক

cot6θ.cot5θ

খ

cos6θ.cos5θ

গ

cos6θ.cot5θ

ঘ

-cot6θ.cot5θ

What is the value of sin 0° + sin 10° + sin 20° + sin 30° + ⋯ + sin 360°?

ক

-1

খ

0

গ

1

ঘ

2

Find the ∫∫x3 y3 sin⁡(x)sin⁡(y) dxdy. ]) b) (-x3 Cos(x) – 3x2 Sin(x) – 6xCos(x)-6Sin(x))(-y3 Cos(y) + 3]) c) (-x3 Cos(x) + 3x2 Sin(x) + 6xCos(x)-6Sin(x))(-y3 Cos(y) + 3y2 Sin(y) + 6yCos(y) – 6Sin(y)) d) (–x3 Cos(x) + 6xCos(x) – 6Sin(x))(-y3 Cos(y))

ক

(x3 Cos(x) + 3x2 Sin(x) + 6xCos(x)-6Sin(x))(y3 Cos(y) + 3]) ) c) (-x3 Cos(x) + 3x2 Sin(x) + 6xCos(x)-6Sin(x))(-y3 Cos(y) + 3y2 Sin(y) + 6yCos(y) – 6Sin(y)) d) (–x3 Cos(x) + 6xCos(x) – 6Sin(x))(-y3 Cos(y)) View Answer]

খ

y2 Sin(y) – 2[-yCos(y) + Sin(y)

গ

y2 Sin(y) – 2[-yCos(y) + Sin(y)

ঘ

y2 Sin(y) – 2[-yCos(y) + Sin(y)

What is the value of {[sin (x + y) – 2 sin x + sin (x – y)]/[cos (x – y) + cos (x + y) – 2 cos x]} × [(sin 10x – sin 8x)/(cos 10x + cos 8x)]?

ক

0

খ

tan2x

গ

1

ঘ

2 tan x

sin²5° + sin²10° + sin²15° + ...... sin²85° + sin²90° is equal to?

ক

$${\text{7}}\frac{1}{2}$$

খ

$${\text{8}}\frac{1}{2}$$

গ

9

ঘ

$$9\frac{1}{2}$$

নিম্নের যোগজ এর মান হবে: ∫0π2(1 + cos x)2 sin xdx

ক

13

খ

73

গ

37

ঘ

43

∫0π2 cos x dx4-sin x এর মান-

ক

12ln 2

খ

14ln 3ln

গ

ln 23

ঘ

ln 43

∫0π2 1+cos x sin x dx = ?

ক

87

খ

58

গ

27

ঘ

73

3 ∫0π2 sin 3x ecos 3x dx = ?

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