The range of the function f ( x ) = log 5 3 + cos 3 π 4 + x + cos π 4 + x + cos π 4 - x - cos 3 π 4 - x is :

Question

The range of the function f ( x ) = log 5 3 + cos 3 π 4 + x + cos π 4 + x + cos π 4 - x - cos 3 π 4 - x is :, 1 5 , 5, [ 0 , 2 ], ( 0 , 5 ), [ - 2 , 2 ]

MARKS App · Accepted Answer

f ( x ) = log 5 ( 3 - 2 sin x + 2 cos x ) - 2 ≤ ( - 2 sin x + 2 cos x ) ≤ 2 ⇒ 1 ≤ ( 3 - 2 sin x + 2 cos x ) ≤ 5 ⇒ log 5 1 ≤ f ( x ) ≤ log 5 5 ⇒ 0 ≤ f ( x ) ≤ 2

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