Question

is 2cosx=cos2x ?
i have misinterrupted​

Answer 1

Answer:

No they are not the same.

Step-by-step explanation:

No, they are not the same.

2 cos x you have a vertical stretch and the 2 is called the Amplitude.

cos 2x  the 2 is like a horizontal compression and this alters the period of cos, which the new period will be at pi instead of 2pi

Answer 2

The given trigonometric expression 2cosx = cos2x are not hold good that is 2cosx is not equal to cos2x and this can be determined by using the trigonometric properties.

Given :

Trigonometry Expression --  2cosx = cos2x

The following steps can be used in order to determine that the given trigonometry expression is correct or not:

Step 1 - Write the given trigonometry expression.

2cosx = cos2x

Step 2 - Take the right hand side that is RHS in order to determine the given trigonometry expression is right or not.

$\rm RHS = cos2x$

$\rm RHS = cos^2x-sin^2x$

$\rm RHS = 2cos^2x-1$

Step 3 - Compare the above expression with LHS.

LHS = 2cosx

RHS $\neq$ LHS

For more information, refer to the link given below:

https://brainly.com/question/22986150