Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET20228 Aug 2022Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

Cos ^2 48^ - ^2 12^ = ,if 18^ = 5 -1 4

Options

  1. A5 -1 8
  2. B5 8 +1
  3. C5 8 -1
  4. D5 +1 8

Correct answer

D. 5 +1 8

Step-by-step solution

aligned & ^2 48^ - ^2 12^ & = (48^ +12^ ) (48^ -12^ ) & = 60^ 36^ & = 1 2 1-2 ^2 18^ & = 1 2 1-2 ( 5 -1 4 )^2 & = 1 2 1-2 5+1-2 5 16 & = 1 2 - 6-2 5 16 = 1+ 5 8 aligned

Practice Trigonometric Ratios & Identities on Quantrex Academy →

More from Trigonometric Ratios & Identities

If x+ x= 1 2 and 0 < x < , then x= 2025If A and B are acute angles satisfying 3 ^2 A+2 ^2 B=4 and 3 A B = 2 B A , then A+2 B= 2025In a ABC , if ^2 ~B = A and 2 ^2 ~A =3 ^2 ~B , then the triangle is 202512 2 12 3 12 4 12 5 12 6 12 = 2025If ( 4 + )= ^3 ( 4 + ) , then ( + ) ( - )= 2025If A+B+C+D=2 , then A+ B+ C+ D= 2025(4 ^2 20 -1 ) (4 ^2 3 20 -1 ) (4 ^2 5 20 +1 ) (4 ^2 7 20 -1 ) (4 ^2 9 20 -1 )= 2025If A and B are the values such that (A+B) and (A-B) are not odd multiples of 2 and 2 (A+B)=3 (A-B) , then A A= 2025 Full Trigonometric Ratios & Identities list All MHT CET PYQs