If sec 4θ = cosec (θ + 20°), then θ is equal to:

This question was previously asked in
SSC CGL Previous Paper 53 (Held On: 10 June 2019 Shift 2)
View all SSC CGL Papers >
  1. 22°
  2. 18°
  3. 20°
  4. 14°

Answer (Detailed Solution Below)

Option 4 : 14°
super-pass-live
Free
SSC CGL Tier 1 2025 Full Test - 01
100 Qs. 200 Marks 60 Mins

Detailed Solution

Download Solution PDF

Given:

 sec 4θ = cosec (θ + 20°)

Calculation:

sec 4θ = cosec (θ + 20°)

⇒ sec4θ = sec [90° – (θ + 20°)]

⇒ 4θ = 90° – θ – 20°

⇒ 5θ = 70°

⇒ θ = 14°

So, the value of θ is 14°

Latest SSC CGL Updates

Last updated on Jul 21, 2025

-> NTA has released UGC NET June 2025 Result on its official website.

->  SSC Selection Post Phase 13 Admit Card 2025 has been released at ssc.gov.in

-> The SSC CGL Notification 2025 has been announced for 14,582 vacancies of various Group B and C posts across central government departments.

-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025 in multiple shifts.

-> Candidates had filled out the SSC CGL Application Form from 9 June to 5 July, 2025. Now, 20 lakh+ candidates will be writing the SSC CGL 2025 Exam on the scheduled exam date. Download SSC Calendar 2025-25!

-> In the SSC CGL 2025 Notification, vacancies for two new posts, namely, "Section Head" and "Office Superintendent" have been announced.

-> Candidates can refer to the CGL Syllabus for a better understanding of the exam structure and pattern.

-> The CGL Eligibility is a bachelor’s degree in any discipline, with the age limit varying from post to post. 

-> The SSC CGL Salary structure varies by post, with entry-level posts starting at Pay Level-4 (Rs. 25,500 to 81,100/-) and going up to Pay Level-7 (Rs. 44,900 to 1,42,400/-).

-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.

-> NTA has released the UGC NET Final Answer Key 2025 June on its official website.

Hot Links: teen patti comfun card online teen patti wealth teen patti joy official teen patti cash