[" 34.Trea difing for "(cos^(2)25^(@)+cos^(2)65^(@))+cosec theta*sec(90^(@)-6)],[-cot theta*tan(90^(@)-6)-2]

Evaluate: (sec 29^(@))/("cosec" 61^(@)) + 2 cot 8^(@) cot 17^(@) cot 45^(@) cot 73^(@) cot82^(@) - 3(sin^(2) 38^(@) + sin^(2) 52^(@)) + 4[cos theta sin(90^(@) - theta) + sin theta cos (90^(@) - theta)]

Evaluate : sin theta cos theta - (sin theta cos (90^(@) - theta) cos theta)/( sec (90^(@) - theta)) - (cos theta sin (90^(@) - theta) sin theta)/( cosec (90^(@) - theta))

Prove the following: (cos(90^(@)-theta)sec(90^(@)-theta)tan theta)/(cos ec(90^(@)-theta)sin(90^(@)-theta)cot(90^(@)-theta))+(tan(90^(@)-theta))/(cot theta)=2

Evaluate sin (50^(@) + theta) - cos (40^(@) - theta) + tan 1^(@) tan 15^(@) tan 20^(@) tan 70^(@) tan 65^(@) tan 89^(@) + sec (90^(@) - theta). cosec theta - tan (90^(@) - theta ) cot theta

(sin^(2) 20^(@) + sin^(2) 70^(@))/(cos^(2) 20^(@) + cos^(2) 70^(@)) + [ (sin (90^(@) - theta).sin theta)/(tan theta) + (cos (90^(@) - theta).cos theta)/(cot theta) ] .

(sec theta+csc theta)^(2)-(tan theta+cot theta)^(2)=

tan^(2)(90^(@) - theta) - cosec^(2) theta =

tan^(2)(90^(@) - theta) - cosec^(2) theta =

Prove that (cos theta cos(90^(@)-theta))/(cot(90^(@)-theta))=cos^(2)theta