Question

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

Answer 1

The answer is: " 4 cos² Θ " .
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Step-by-step 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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Answer 2

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.`