Question

Find the period of the function |sinx| and tan 5x, cos ^4x​

Answer 1

Answer:

We have, f\left( x \right) =\cos { 4x } +\tan { 3x } f(x)=cos4x+tan3x

Clearly, period of \cos { 4x } cos4x is \dfrac { 2\pi }{ 4 } =\dfrac { \pi }{ 2 }

4

2π

=

2

π

and that of \tan { 3x } tan3x is \dfrac { \pi }{ 3 }

3

π

.

Therefore, period of f\left( x \right) =\dfrac { \text{LCM of }\left( \pi\ \text{and}\ \pi \right) }{ \text{HCF of} \left(\ 2 \text{and} \ 3 \right) } f(x)=

HCF of( 2and 3)

LCM of (π and π )

=\dfrac { \pi }{ 1 } =\pi =

1

π

=π

Answer 2

Answer:

Y(x) is a sum of two trignometric functions.

The period of sin 2x would be that is π

or 180 degrees. Period of cos4x would be

that is ,or 90 degrees.

Find the LCM of 180 and 90. That would be

180. Hence the period of the given function

would be π

hope this would help you

mark brainliest