The following expression is equal to.

cot 85°+ cos 75°

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 20 Jul 2023 Shift 2)
View all SSC CGL Papers >
  1. tan 85°+ sin 75°
  2. tan 5°+ sin 15°
  3. tan 85°- sin 75°
  4. tan 5°- sin 15°

Answer (Detailed Solution Below)

Option 2 : tan 5°+ sin 15°
super-subscription-prototype
Free
PYST 1: SSC CGL - English (Held On : 11 April 2022 Shift 1)
3.1 Lakh Users
25 Questions 50 Marks 12 Mins

Detailed Solution

Download Solution PDF

Formula used:

sin(90-θ) = cos θ

cot(90-θ) = tan θ

Calculation

⇒ cot 85°+ cos 75°

⇒ cot (90 - 5)°+ cos (90 - 15)°

⇒ cot (90 - 5)°+ cos (90 - 15)°

⇒ tan 5°+ sin 15°

The answer is tan 5°+ sin 15°.

Latest SSC CGL Updates

Last updated on Jun 11, 2025

-> The SSC CGL Notification 2025 has been released on 9th June 2025 on the official website at ssc.gov.in.

-> The SSC CGL exam registration process is now open and will continue till 4th July 2025, so candidates must fill out the SSC CGL Application Form 2025 before the deadline.

-> 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.

-> Candidates should also use the SSC CGL previous year papers for a good revision. 

More Trigonometry Questions

Get Free Access Now
Hot Links: teen patti wealth teen patti gold teen patti win teen patti bodhi lotus teen patti