• A. ${\tan }^{-1}\frac{4}{3}$
• B. ${\tan }^{-1}\frac{1}{2}$
• C. ${\tan }^{-1}\frac{11}{2}$
• D. ${\tan }^{-1}\frac{2}{11}$

Answer: Option B

Explanation:

• A. $\cot \frac{\sqrt{5}}{2}$
• B. ${\cot }^{-1}\frac{\sqrt{5}}{2}$
• C. $\tan \sqrt{5}$
• D. ${\tan }^{-1}\frac{1}{\sqrt{5}}$

Answer: Option B

Explanation:

• A. $\left[-\mathrm{\pi },\mathrm{\pi }\right]$
• B. $\left[-2,2\right]$
• C. $\left[-1,1\right]$
• D. $\left[-\infty ,\infty \right]$

Answer: Option B

Explanation:

• A. -2
• B. - 2x
• C. π - 2x
• D. 4 - 4x

Answer: Option B

Explanation:

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

Answer: Option A

Explanation:

• A. 15
• B. 10
• C. 5
• D. 20

Answer: Option A

Explanation:

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

Answer: Option C

Explanation:

• A. 2
• B. 3
• C. 4
• D. 6

Answer: Option A

Explanation:

• A. $0$
• B. $\frac{1}{3}$
• C. $3$
• D. $1$

Answer: Option B

Explanation:

• A. $1$
• B. $-1$
• C. $i$
• D. $-i$

Answer: Option C

Explanation:

• A. $0$
• B. $i$
• C. $-i$
• D. $1$

Answer: Option B

Explanation:

• A. 1+2i
• B. 1-2i
• C. 1+ i
• D. 1-i

Answer: Option A

Explanation:

• A. -1
• B. 1
• C. 2
• D. -2

Answer: Option D

Explanation:

• A. $1$
• B. $-i$
• C. $i$
• D. $0$

Answer: Option D

Explanation:

• A. $2$
• B. $-2i$
• C. $0$
• D. $2i$

Answer: Option C

Explanation: