what is the period of |sin3x|+|cos3x|
what is the period of |sin3x|+|cos3x|
Shruthi vinod , 10 Years ago
Grade 12
Trigonometry> what is the period of |sin3x|+|cos3x|...
2 Answersanvesh
- period of mod sinx is ^ and same for cosx so period is period of sin3x and cos3x lcm so answer is lcm of ^/3 and ^/3 that is ^/3
Akshay
@anvesh: Not necessary, Assume a function f(x) = |sin x| + |cos x|
it will be repeated after pi/2, as | cos(pi/2+x) | = | sin x | and same for | sin(pi/2+x) | = | cos x |.
it will be repeated after pi/2, as | cos(pi/2+x) | = | sin x | and same for | sin(pi/2+x) | = | cos x |.
So, f(x+pi/2) = f(x).
So, period here is pi/6 and not pi/3.
So, period here is pi/6 and not pi/3.
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