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sedeln5w

sedeln5w

Answered question

2022-06-16

If f ( x ) = cos x + 5 cos 3 x + cos 5 x cos 6 x + 6 cos 4 x + 15 cos 2 x + 10 then find the value of f ( 0 ) + f ( 0 ) + f ( 0 )

Answer & Explanation

Ryan Fitzgerald

Ryan Fitzgerald

Beginner2022-06-17Added 17 answers

we can simplify the fraction as
2 cos 3 x cos 2 x + 5 cos 3 x 2 cos 2 3 x 1 + 6 [ 2 cos 3 x cos x ] + 9 cos 2 x + 10
= ( 2 cos 2 x + 5 ) cos 3 x 2 cos 2 3 x + 12 cos 3 x cos x + 18 cos 2 x
= ( 2 cos 2 x + 5 ) cos 3 x 2 ( cos 3 x + 3 cos x ) 2
= [ 2 ( 2 c 2 1 ) + 5 ] ( 4 c 3 3 c ) 2 ( 4 c 3 ) 2
= ( 4 c 2 + 3 ) ( 4 c 2 3 ) 32 c 5
= 1 2 sec x 9 32 sec 5 x

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