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Gretchen Schwartz 2022-07-06 Answered
Find all (a,b), such that y = cos 2 x + cos 2 ( x + a ) + 2 cos x cos ( x + a ) cos b is constant for all x R
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Answers (1)

Asdrubali2r
Answered 2022-07-07 Author has 14 answers
HINT:
S = cos 2 x + cos 2 ( x + a ) + 2 cos x cos ( x + a ) cos b
= 1 + cos 2 ( x + a ) sin 2 x + 2 cos x cos ( x + a ) cos b
Using Prove that cos ( A + B ) cos ( A B ) = cos 2 A sin 2 B
S = 1 + cos a cos ( 2 x + a ) + { cos ( 2 x + a ) + cos a } cos b
= 1 + cos a cos b + ( cos b + cos a ) cos ( 2 x + a )
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