Question

period of sin^4(5x) + 2cos^4(5x)​

Answer 1

Answer:

Given f(x)=∣sin4x∣+∣cos2x∣

=

sin

2

4x

+

cos

2

2x

=

2

1−cos8x

+

2

1+cos4x

Now, period of =

2

1−cos8x

is

4

π

Period of =

2

1+cos4x

is

2

π

.

LCM of

4

π

and

2

π

is

2

π

.

Hence, period of f(x) is

2

π

.