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The expression cos^2(alpha+beta)+cos^2(a...

The expression `cos^2(alpha+beta)+cos^2(alpha-beta)-cos2alphacos2beta` is

A

independent of `alpha`

B

independent of `beta`

C

independent of `alpha` and `beta`

D

dependent on `alpha` and `beta`.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
`cos^(2)(alpha + beta) + cos^(2) (alpha - beta) -cos2alpha cos 2beta`
`" " =cos^(2)(alpha + beta) + 1 - sin^(2) (alpha - beta) - cos 2alpha cos 2beta`
`" " = 1 + cos 2alpha cos 2beta - cos 2alpha cos 2 beta`
`" " = 1`
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