Question : If 4$\theta$ is an acute angle, and cot 4$\theta$ = tan($\theta$ – 5°), then what is the value of $\theta$?
Option 1: 19°
Option 2: 45°
Option 3: 21°
Option 4: 24°
Answer (1)
25th Jan, 2024
Correct Answer: 19°
Solution :
According to the question,
⇒ $\cot(4θ) = \tan(θ - 5°)$
⇒ $\cot(4θ) = \cot(90° - (θ - 5°))$
⇒ $4θ = 90° - (θ - 5°)$
⇒ $4θ +θ - 5° = 90°$
⇒ $5θ = 95° $
⇒ $θ =19°$
Hence, the correct answer is 19°.
Comments (0)
Related Questions
Know More about
Staff Selection Commission Sub Inspector ...
Result | Eligibility | Application | Selection Process | Cutoff | Admit Card | Preparation Tips
Get Updates Brochure
Thank You!
Your Staff Selection Commission Sub Inspector Exam brochure has been successfully mailed to your registered email id “”.
Upcoming Exams
Mains Exam
Admit Card Date:
23 Nov, 2024
- 30 Nov, 2024
Application Date:
19 Nov, 2024
- 30 Nov, 2024
Admit Card Date:
18 Nov, 2024
- 1 Dec, 2024
Admit Card Date:
26 Nov, 2024
- 1 Dec, 2024
Application Date:
1 Dec, 2024
