Find the set of values of x for which the equation cos^-1 x+ cos^-1( x/2 +(1/2) square root 3-3x^2 ) holds good

Answers (1)

Solution:   

                cos^-1 x+cos^-1(fracx2+frac12sqrt(3-3x^2))=fracpi3.

       Rightarrow           cos^-1 x+cos^-1(frac12 x+fracsqrt32sqrt(1-x^2))=fracpi3.    

      Rightarrow             cos^-1x+cos^-1frac12 -cos^-1x=fracpi3.

        ecause         frac12leq xleq 1    so ,   cos^-1frac12-cos^-1x> 0

        Thus           xin[frac12,1].     

                

                        

Most Viewed Questions

Preparation Products

Knockout CUET (Physics, Chemistry and Mathematics)

Complete Study Material based on Class 12th Syllabus, 10000+ Question Bank, Unlimited Chapter-Wise and Subject-Wise Mock Tests, Study Improvement Plan.

₹ 7999/- ₹ 4999/-
Buy Now
Knockout CUET (Physics, Chemistry and Biology)

Complete Study Material based on Class 12th Syllabus, 10000+ Question Bank, Unlimited Chapter-Wise and Subject-Wise Mock Tests, Study Improvement Plan.

₹ 7999/- ₹ 4999/-
Buy Now
Knockout JEE Main (Six Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 9999/- ₹ 8499/-
Buy Now
Knockout JEE Main (Nine Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 13999/- ₹ 12499/-
Buy Now
Knockout NEET (Six Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Study Improvement Plan.

₹ 9999/- ₹ 8499/-
Buy Now
Boost your Preparation for JEE Main with our Foundation Course
 
Exams
Articles
Questions