Which of the following is TRUE ?AThe fundamental period of ∣ sin ⁡ x ∣...

lamesa1Vy

lamesa1Vy

Answered

2022-12-04

Which of the following is TRUE ?
A
The fundamental period of sin x + cos x
B
The fundamental period of sin x × cos x
C
The fundamental period of sin x cos x
D
The fundamental period of sin x

Answer & Explanation

Lilia Nolan

Lilia Nolan

Expert

2022-12-05Added 7 answers

The correct option is C Let f ( x ) =∣ sin x + cos x f ( π 2 + x ) =∣ sin x + cos x ∣=∣ sin x + cos x ∣= f ( x ) Therefore, period is π 2 Let f ( x ) =∣ sin x cos x f ( π 2 + x ) =∣ cos x sin x ∣= f ( x ) f ( π + x ) =∣ sin x cos x ∣= f ( x ) Period is  π Let f ( x ) =∣ sin x × cos x ∣= 1 2 sin 2 x

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