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CGP EDU Academic Team
Published on: August 13, 2026
(b,c) Ι dentify the statement(s) which is/are incorrect?
Text Solution
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CHECK THE SOLUTION.
(b,c)
f(x) = sinx + cosx
f (–x) = cos x – sin x nither odd nor even
f (x + π ) = cos (sin (x + π )) + cos (cos (x + π )) ⇒ f (x + π ) = cos (sin x) + cos (cos x) = f(x)
f 
= cos 
+ cos 
= cos (cos x) + cos (sin x) = f(x)
fundamental period = 
f(x) = cos (3 sin x), x ∈ [–1, 1]
– 3 ≤ 3 sin x ≤ 3 ⇒ cos (3 ) ≤ cos (3 sin x) ≤ 1
∴ Range is [cos (3 ), 1]
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