1 . 2sin2Θ+3cosΘ−3=0 হলে, Θ এর মান কত? যেখানে Θ সুক্ষ্মকোণ? 

• A. 60°
• B. 0°
• C. 30°
• D. 45°

Answer: Option A

Explanation:

2 . sinθ+cosθsinθ-cosθ=7

• A. $3/4$
• B. $4/3$
• C. $7/8$
• D. $8/7$

Answer: Option B

Explanation:

3 . asinθ,bcosθ

• A. অধিবৃত্ত
• B. উপবৃত্ত
• C. বৃত্ত
• D. সরলরেখা

Answer: Option C

Explanation:

4 . cosθ=12x+1x

• A. $-\frac{1}{2}\left(x+\frac{1}{x^2}\right)$
• B. $\frac{1}{2}\left(x-\frac{1}{x^2}\right)$
• C. $\frac{1}{2}\left(x^2+\frac{1}{x^2}\right)$
• D. $\frac{1}{2}\left(\frac{1}{x^2}-x\right)$

Answer: Option D

Explanation:

5 . cosθ=1213

• A. $\frac{5}{12}$
• B. $\frac{25}{144}$
• C. $\frac{13}{12}$
• D. $\pm \frac{13}{12}$

Answer: Option A

Explanation:

6 . sinθ-cosθ=0 হলে, θ এর ক্ষুদ্রতম ধনাত্বক মান কোনটি?

• A. π/3
• B. π/2
• C. π/4
• D. π/6

Answer: Option C

Explanation:

7 . sinθ+cosθ=2

• A. π/6
• B. π/4
• C. π/3
• D. π/2

Answer: Option B

Explanation:

8 . tanθ=512π<θ<3π2

• A. $-\frac{5}{13}$
• B. $-\frac{7}{13}$
• C. $\frac{5}{13}$
• D. $\frac{7}{13}$

Answer: Option B

Explanation:

9 . tanθ=340<θ<π2

• A. $7$
• B. $\frac{1}{7}$
• C. $-\frac{1}{7}$
• D. $-7$

Answer: Option C

Explanation:

10 . asinθ,bcosθ

• A. অধিবৃত্ত
• B. উপবৃত্ত
• C. বৃত্ত
• D. সরলরেখা

Answer: Option B

Explanation:

11 . r=8cosθ+6sinθ

• A. 8
• B. 6
• C. 4
• D. 3

Answer: Option A

Explanation:

12 . r2-43rcosθ-4rsinθ+15=0

• A. 4
• B. 3
• C. 2
• D. 1

Answer: Option B

Explanation:

13 . r2-23r cosθ-8r sin θ+15=0

• A. 1
• B. 2
• C. 3
• D. 4

Answer: Option B

Explanation:

14 . cosθ+sinθ=2cosθ

• A. $\pm \sqrt{2}\sin \theta$
• B. $2\sin \theta$
• C. $\sqrt{2}\sin \theta$
• D. $\sqrt{2\sin \theta }$

Answer: Option A

Explanation:

15 . x= cosθ+bsinθ,y=asinθ-bcosθ

• A. ellipse
• B. parabola
• C. circle
• D. hyperbola

Answer: Option C

Explanation:

16 . cosθ+3–√sinθ=2 সমীকরণটি বিশেষ সমাধান কোনটি ?

• A. θ=2nπ+π
• B. θ=2nπ±π3
• C. θ=π/3
• D.

Answer: Option A

Explanation:

17 . Cosθ+ √3 sinθ = 2 সমীকরণের সাধারণ সমাধান-

• A. θ=2nπ + π/3
• B. θ=2nπ + π/6
• C. θ=2nπ - π/3
• D.

Answer: Option A

Explanation:

18 . cosθ + sinθ = √2 হলে, θ এর মান-

• A. 2nπ
• B. (2n+1)π
• C. 2nπ + π/4
• D. (2n-1)π/4

Answer: Option C

Explanation:

19 . cosθ23

• A. $\frac{\sqrt{5}}{2}$
• B. 3/5
• C. 4/3
• D. 5/4

Answer: Option A

Explanation:

20 . COSθ এর সর্ব নিম্ন মান কত?

• A. -00
• B. 0
• C. -1
• D. 1

Answer: Option C

Explanation:

21 . cosθ=12

• A. $\frac{\sqrt{3}}{2}$
• B. 1/2
• C. $\frac{1}{\sqrt{2}}$
• D. 1

Answer: Option A

Explanation:

22 . tanθ=3

• A. $\frac{\sqrt{3}}{2}$
• B. $\frac{1}{\sqrt{2}}$
• C. $\frac{1}{2}$
• D. $1$

Answer: Option C

Explanation:

23 . cosec(90°-θ)=2

• A. $2$
• B. $\frac{\sqrt{3}}{2}$
• C. $\frac{1}{2}$
• D. $\frac{1}{\sqrt{2}}$

Answer: Option C

Explanation:

24 . 2sin2θ+3cosθ-3=0

• A. $60°$
• B. $50°$
• C. $30°$
• D. $45°$

Answer: Option A

Explanation:

25 . =1/20;cosϑ

• A. ${30}^{°}$
• B. ${60}^{°}$
• C. ${75}^{°}$
• D. ${70}^{°}$

Answer: Option B

Explanation:

26 . cos ec90°-θ=2

• A. $3$
• B. $\frac{1}{2}$
• C. $6$
• D. $9$

Answer: Option B

Explanation:

27 . cosθ

• A. $0$
• B. $-1$
• C. $1$
• D. $-\infty$

Answer: Option B

Explanation: