Evaluate : ` (cos^2(45 + theta) + cos^2(45 - theta))/(tan(60^@ + theta) tan(30^@ - theta)) + cosec(75^@ + theta) - sec(15^@ - theta)`

Evaluate : (cos^(2)(45+theta)+cos^(2)(45-theta))/(tan(60^(@)+theta)tan(30^(@)-theta))+cos ec(75^(@)+theta)-sec(15^(@)-theta)

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

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

What is (cos^(2)(45^(@)+theta)+cos^(2)(45^(@)-theta))/(tan(60^(@)+theta)tan(30^(@)-theta)) equal to ?

What is ((sin theta +cos theta)(tan theta +cot theta))/(sec theta + cosec theta) equal to ?

Prove that (tan^2 theta)/(tan^2 theta-1)+(cosec^2 theta)/ (sec^2 theta-cosec^2 theta)= -sec 2 theta .

(cosec theta -sin theta ) (sec theta - cos theta ) (tan theta + cot theta ) = 1.

(cos theta )/( sec theta + tan theta ) + ( cos theta )/( sec theta - tan theta ) =

( sec theta + tan theta )/("cosec " theta + cot theta ) -(sec theta - tan theta )/( " cosec" theta - cot theta )=