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Evaluate : (cos^(2)(45^(@) + theta)+ ...

Evaluate :
`(cos^(2)(45^(@) + theta)+ cos^(2) (45^(@) -theta))/(tan(60^(@) + theta) xx tan(30^(@) - theta))+(cot30^(@) + sin 90^(@))xx (tan60^(@) -sec0^(@))`

Text Solution

Verified by Experts

`(cos^(2)(45^(@) + theta)+ cos^(2) (45^(@) -theta))/(tan(60^(@) + theta) xx tan(30^(@) - theta))+(cot30^(@) + sin 90^(@))xx (tan60^(@) -sec0^(@))`
`(cos^(2)(45^(@) + theta)+ cos^(2)(45^(@) - theta))/( tan(60^(@) + theta) xx cot(60^(@) + theta)) + (sqrt(3)+1)(sqrt(3)-1)`
` = 1+2=3`
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