`1/(1+cot^2(45^@+theta))-1/(sec^2(45^@-theta))=`

(1-tan^(2)(45^(@)-theta))/(1+tan^(2)(45^(@)-theta))=

cot(45^@+theta)cot(45^@-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^(@))

If 1/(sin^(2)theta)-1/(cos^(2) theta)-1/(tan^(2)theta)-1/(cot^(2)theta)-1/(sec^(2)theta)-1/(cosec^(2)theta)=-3 then find the value of theta .

Prove: ((1+cot^2theta)tantheta)/(sec^2theta)=cottheta

If theta=45^(@) then (tan^(2)theta-1)/(sec^(2)theta)=

cot(45+theta)cot(45-theta)=

Prove: ((1+cot^(2)theta)tan theta)/(sec^(2)theta)=cot theta

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