In a triangle ABC, a = 4, b = 3, c = 2. What is cos 3C equal to ?

This question was previously asked in
NDA 02/2022 Mathematics Official Paper (Held On 04 Sep 2022)
View all NDA Papers >

Answer (Detailed Solution Below)

Option 1 :
Free
NDA 01/2025: English Subject Test
30 Qs. 120 Marks 30 Mins

Detailed Solution

Download Solution PDF

Concept:

For a triangle ABC, with sides a, b, c opposite to angle A, B, C respectively.

Cosine formula-

 and 

  • cos 3x = 4cos3x - 3cos x

Calculation:

Given: a triangle ABC with a = 4, b = 3, c = 2. 

⇒ 

⇒ 

⇒ cos C = 

So cos 3C = 4cos3C - 3cos C

⇒ 

⇒ 

⇒ 

⇒ 

∴ The correct option is (1).

Latest NDA Updates

Last updated on Jun 18, 2025

->UPSC has extended the UPSC NDA 2 Registration Date till 20th June 2025.

-> A total of 406 vacancies have been announced for NDA 2 Exam 2025.

->The NDA exam date 2025 has been announced. The written examination will be held on 14th September 2025.

-> The selection process for the NDA exam includes a Written Exam and SSB Interview.

-> Candidates who get successful selection under UPSC NDA will get a salary range between Rs. 15,600 to Rs. 39,100. 

-> Candidates must go through the NDA previous year question paper. Attempting the NDA mock test is also essential. 

Hot Links: teen patti real cash withdrawal teen patti noble teen patti casino real cash teen patti teen patti bodhi