Question 43

Mathematics Trigonometric Equations Hard

Let \( \cos 6x = a\cos^6 x + b\cos^4 x + c\cos^2 x + d \) for any real number x, where a, b, c, d are real constants. Then the value of \( a + b + c \) is equal to

(A) 49
(B) 13
(C) 7
(D) 2
View Dynamic Solution & Explanation
Correct Solution: Option D

Step-by-step Solution:

Standard expansion of \(\cos 6x\) in powers of \(\cos x\) leads to coefficients whose sum \(a+b+c\) equals 2.