Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Let the function f(x) = sin x + cos x be defined in [0, 2 π ] then f(x)
Text Solution
Verified by ExpertsThe correct answer is:
B
(b and c)
f(x) = sin x + cos x = 
sin (x + π /4). Since the sine
function on [0, π /2] increases and decreases on [ π /2, 3 π /2] and again increases on 
, the function f(x) increases for
x + π /4 ∈ [0, π /2]. Hence f(x) increases on
[0, π /4], decreases on [ π /4, 5 π /4], increases
[5 π /4, 2 π ].
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