Question

Please help ! (cos Θ − cos Θ)^2 + (cos Θ + cos Θ)^2

Answer 1

Answer:  The required simplified form is $4\cos^2\theta.$

Step-by-step explanation:  We are given to simplify the following trigonometric expression :

$T=(\cos \theta-\cos\theta)^2+(\cos \theta+\cos \theta)^2.$

To simplify, first we need to evaluate the terms within the brackets.

The simplification is as follows :

$T\\\\=(\cos \theta-\cos\theta)^2+(\cos \theta+\cos \theta)^2\\\\=0^2+(2\cos\theta)^2\\\\=0+4\cos^2\theta\\\\=4\cos^2\theta.$

Thus, the required simplified form is $4\cos^2\theta.$

Answer 2

The answer is:  " 4 cos² Θ " .
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Explanation:
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(cos Θ − cos Θ)²  + (cos Θ + cos Θ)²  

   =   0² + (cos Θ + cos Θ)²  ;

   =  0 + (2 cos Θ)² = (2 cos Θ)(2 cos Θ)  ;

   =  4 (cos Θ)² = 4 cos² Θ .
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