Browse by Stream
-
Engineering and Architecture
Exams
Colleges
Predictors
Resources
-
Computer Application and IT
Quick Links
Colleges
-
Pharmacy
Colleges
Resources
-
Hospitality and Tourism
Colleges
Resources
Diploma Colleges
-
Competition
Other Exams
Resources
-
School
Exams
Top Schools
Products & Resources
-
Study Abroad
Top Countries
Student Visas
-
Arts, Commerce & Sciences
Exams
Colleges
Upcoming Events
Resources
-
Management and Business Administration
Colleges & Courses
Predictors
-
Learn
Online Courses
Engineering Preparation
Medical Preparation
-
Online Courses and Certifications
Top Streams
Specializations
- Digital Marketing Certification Courses
- Cyber Security Certification Courses
- Artificial Intelligence Certification Courses
- Business Analytics Certification Courses
- Data Science Certification Courses
- Cloud Computing Certification Courses
- Machine Learning Certification Courses
- View All Certification Courses
Resources
-
Medicine and Allied Sciences
Colleges
Predictors
Resources
-
Law
Resources
Colleges
-
Animation and Design
Predictors & Articles
Colleges
Resources
-
Media, Mass Communication and Journalism
Colleges
Resources
-
Finance & Accounts
Top Courses & Careers
Colleges
Get Answers to all your Questions
Simplify cos-1( 4cos 3x-3cos x).
Answers (1)
Given- $cos^{-1}(4 \cos 3x - 3 \cos x)$
Using the triple angle identity for cosine:
$\cos 3x = 4 \cos^3 x - 3 \cos x$
Substitute this into the original expression:
$4 \cos 3x - 3 \cos x = 4(4 \cos^3 x - 3 \cos x) - 3 \cos x$
Simplify the expression: $4(4 \cos^3 x - 3 \cos x) - 3 \cos x = 16 \cos^3 x - 12 \cos x - 3 \cos x= 16 \cos^3 x - 15 \cos x$
Thus, the simplified expression is: $\cos^{-1}(16 \cos^3 x - 15 \cos x)$
View full answer
Crack CUET with india's "Best Teachers"
- HD Video Lectures
- Unlimited Mock Tests
- Faculty Support
