If A is an acute angle, the simplified form of 

is :

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 4)
View all SSC CGL Papers >
  1. Cos2 A
  2. Sin A
  3. Sin2 A
  4. Cos A

Answer (Detailed Solution Below)

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

Detailed Solution

Download Solution PDF

Concept used:

Formula used:

  • cos (π - θ) = - cos θ
  • cot (90 +  θ) = - tan θ 
  • cos (-θ) = cos θ  
  • tan (π + θ) = tan θ 
  • tan (3π/2 + θ) = - cot θ 
  • sin (2π - θ) = - sin θ

 

Calculation:

By using the above formula

⇒ 

But,  cos θ / sin θ =  cot θ  

⇒  cot A. cos A/ cot A

⇒ cos A

∴ The correct answer is cos A.

Latest SSC CGL Updates

Last updated on Jul 12, 2025

-> The SSC CGL Application Correction Window Link Live till 11th July. Get the corrections done in your SSC CGL Application Form using the Direct Link.

-> This year, the Staff Selection Commission (SSC) has announced approximately 14,582 vacancies for various Group B and C posts across government departments.

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

->  Aspirants should visit ssc.gov.in 2025 regularly for updates and ensure timely submission of the CGL exam form.

-> 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.

-> Candidates selected through the SSC CGL exam will receive an attractive salary. Learn more about the SSC CGL Salary Structure.

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

-> The RRB Railway Teacher Application Status 2025 has been released on its official website.

-> The OTET Admit Card 2025 has been released on its official website.

Hot Links: teen patti joy vip real teen patti teen patti rich teen patti win teen patti apk download