English
Hindi

Question

Download Solution PDF

Find the value of 

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 26 Jul 2023 Shift 3)
Download PDF Attempt in App
View all SSC CGL Papers >

Answer (Detailed Solution Below)

Option 3 :
super-pass-live
Free Tests
View all Free tests >
Free
SSC CGL Tier 1 2025 Full Test - 01
100 Qs. 200 Marks 60 Mins
Start Now

Detailed Solution

Download Solution PDF

Concept used:

Sin2θ + Cos2θ = 1

Cos 2θ - Sin2θ = Cos2θ

Calculation:

⇒ Cos (2 ×15°)

⇒ Cos 30° = 

∴ The correct option is 3

Download Solution PDF
Latest SSC CGL Updates

Last updated on Jul 14, 2025

-> 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.

‹‹ Previous Ques
Next Ques ››
Exams Tests Super Practice

More Circular Measure of Angles Questions

Q1.Simplify \(\rm \frac{\cos 13^{\circ}+\sin 13^{\circ}}{\cos 13^{\circ}-\sin 13^{\circ}}\)
Q2.In right angled triangle ABC. if ∠A = 30°, find the value of 3 sin A - 4 sin3A. 
Q3.If sec θ - tan θ = \(\frac{1}{\sqrt3}\), then the positive value of cot θ + cos θ is: 
Q4.The value of \(\rm \frac{\sec54^{\circ}}{cosec 36^{\circ}}+\frac{\tan70^{\circ}}{\cot20^{\circ}}-2\tan45^{\circ}\) is equal to:
Q5.Evaluate the given expression: cos2 36° + cos 54° ⋅ sin 36° + \(\left(\frac{\tan 26^{\circ}}{\cot 64^{\circ}}\right)\)
Q6.Let ABC be a right-angled triangle where ∠A = 90° and ∠C = 45°. Find the value of sec C + sin C sec C.
Q7.If cos A = \(\frac{63}{65}\), then find the value of tan A + cot A (up to two places of decimal).
Q8.Find the value of x, if cos (40° + x) = sin 30°.
Q9.The value of tan 5° tan 25° tan 45° tan 65° tan 85° is equal to ________.

More Trigonometry Questions

Q1.If cosec θ + cot θ = p, then \(\rm\frac{p^2-1}{p^2+1}\) equal:
Q2.If p tan (θ - 30°) = q tan (θ + 120°), then what is (p + q) / (p - q) equal to?
Q3.If \(\rm \frac{x}{\cos \theta}=\frac{y}{\cos \left(\frac{2\pi}{3}-\theta\right)}=\frac{z}{\cos\left(\frac{2\pi}{3}+\theta\right)}\) then what is x + y + z equal to? 
Q4.Consider the following numbers :  I. tan 22.5°  II. cot 22.5°  III. tan 22.5° - cot 22.5°  How many of the above are irrational numbers?
Q5.What is \(\rm \frac{\cos 17^\circ-\sin 17^\circ}{\cos 17^\circ+\sin ^\circ}\) equal to
Q6.What is sin12° sin48° equal to? 
Q7.In a triangle ABC tan A + tan B + tan C = k  What is the value of cot A cot B cot C? 
Q8.What is the general solution of cos100 x - sin100 x = 1?
Q9.What is the number of solutions of the equation cot2x cot3x = 1 for 0 < x
Q10.In a triangle ABC, ∠A = 75° and ∠B = 45°. What is 2a - b equal to?
Suggested Test Series
View All >
SSC CGL (Tier I & Tier II) Mock Test 2025 (New)
1819 Total Tests with 2 Free Tests
Start Free Test
Current Affairs (CA) 2025 Mega Pack for SSC/Railways/State Exam Mock Test
431 Total Tests with   1 Free Tests
Start Free Test

More Quantitative Aptitude Questions

Q1.Perimeter of a rectangular field is equal to the perimeter of a triangular field whose sides are in the ratio 3:2:4 respectively. lf area of rectangular field is 500 m2 and sides are in the ratio 5:4 respectively, then calculate the longer side of the triangular field.
Q2.A cistern has an inlet pipe and an outlet pipe. Inlet pipe can fill three-fourth of the cistern in 24 minutes while outlet pipe can empty the one-third filled cistern in 16 minutes. If both the pipes are opened together, then the cistern will be completely filled in-
Q3.In a family, three sons were born for every 3 years one after the other. If the ratio of present ages of father and the eldest son is 15:7 and the average of the present ages of the 3 sons is 18 years. What will be the ratio of the ages of the father and the youngest son after 5 years?
Q4.Train A of length 80m while moving crosses a pole in 16 seconds. lf it is known that the lengths of train B and train A is in the ratio of 3:1, then how long would it take train B to cross a platform which is half the length of train A if the speed of train B is same as that of train A?
Q5.Can A and Can B contain a mixture of soda and water in the ratio of 5 : 3 and 7 : 2 respectively If soda and water are taken out in the ratio of P : Q from can A and B respectively to form a new mixture in which the ratio of soda and water is 12 : 5 respectively, then find the value Of P:Q?
Q6.A boat can covers a certain distance in upstream and same distance in downstream in total of 7 hours 48 minutes, If upstream speed of the boat is 62.5%. of downstream speed of the boat and speed of the stream is 3 km/h, what is the total distance covered by the boat?
Q7.M and R went for shopping and bought two sarees each at different cost. Cost price of saree bought by R is Rs.250 more than the cost price of saree bought by M. Shopkeeper earned a profit of 20% on selling both the sarees together to R and M which he bought them at total Rs.6000. At what cost did M buy saree?
Q8.There are three numbers m, n, and p, such that sum of m and n is 144, sum of thrice of n and five times of p is 464, and sum of p and m is 160, then what is the value of p?
Q9.While calculating average marks of 60 students, the two digits of original marks of a student are written reversed and thereby average of marks is increased by 0.6 Find the difference between the two digits of marks of the student?  
Q10.Simple interest received on a certain sum at a rate of simple interest of 5% for 2 years is Rs.780. If the rate of interest remains same, what will be the total amount at the time of withdrawal at the end of 5 years.  
Testbook Edu Solutions Pvt. Ltd.
1st & 2nd Floor, Zion Building,
Plot No. 273, Sector 10, Kharghar,
Navi Mumbai - 410210
support@testbook.com
Toll Free:1800 833 0800
Office Hours: 10 AM to 7 PM (all 7 days)
Company
About usCareers We are hiringTeach Online on TestbookPartnersMediaSitemap
Products
Test SeriesTestbook PassOnline CoursesOnline VideosPracticeBlogRefer & EarnBooks
Copyright © 2014-2022 Testbook Edu Solutions Pvt. Ltd.: All rights reserved
User PolicyTermsPrivacy
Hot Links： teen patti bindaas teen patti earning app teen patti apk download teen patti glory