If sin θ + cos θ =  sin(90 - θ), find the value of cot θ.

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 02 Dec 2022 Shift 2)
View all SSC CGL Papers >

Answer (Detailed Solution Below)

Option 2 :
super-pass-live
Free
SSC CGL Tier 1 2025 Full Test - 01
100 Qs. 200 Marks 60 Mins

Detailed Solution

Download Solution PDF

Given:

sin θ + cos θ =  sin(90 - θ)

Concept used:

1. cot θ = cos θ ÷ sin θ

2. a2 - b2 = (a + b)(a - b)

Calculation:

sin θ + cos θ =  sin(90 - θ)

⇒ sin θ + cos θ =  cosθ

⇒ cos θ( - 1) = sinθ

⇒ cot θ = 

⇒ cot θ = 

⇒ cot θ = 

⇒ cot θ = 

∴ The value of cot θ is .

Latest SSC CGL Updates

Last updated on Jul 10, 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.

Hot Links: teen patti rummy teen patti gold apk teen patti bliss teen patti bodhi