" 58."((1)/(sec^(2)theta-cos^(2)theta)+(1)/(cosec^(2)theta-sin^(2)theta))sin^(2)theta cos^(2)theta=

Prove the following identity: ((1)/(sec^(2)theta-cos^(2)theta)+(1)/(cos ec^(2)theta-sin^(2)theta))sin^(2)theta cos^(2)theta=(1-sin^(2)theta cos^(2)theta)/(2+sin^(2)cos^(2)theta)

(tan^(2)theta)/(tan^(2)theta-1)+(cosec^(2)theta)/(sec^(2)theta-cosec^(2)theta)=(1)/(sin^(2)theta-cos^(2)theta)

Prove the Identity (tan^(2)theta)/(tan^(2)theta-1)+(cosec^(2)theta)/(sec^(2)theta-cosec^(2)theta)=(1)/(sin^(2)theta-cos^(2)theta)

sec^(2)theta-(sin^(2)theta-2sin^(4)theta)/(2cos^(4)theta-cos^(2)theta)=1

(sec^(2)theta-sin^(2)theta)/(tan^(2)theta)=cosec^(2)theta-cos^(2)theta

If cos theta+cos^(2)theta=1 then sin^(2)theta+2sin^(2)theta+sin^(2)theta=

|(4 sin^(2)theta, cos^(2) theta),(3 sec^(2)theta,cosec^(2)theta)|=

(cosec theta+sin theta)(cosec theta-sin theta)=cot^(2)theta+cos^(2)theta

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 .

If "cosec" theta = sqrt(5) , find the value of (i) 2-sin^(2)theta - cos^(2)theta (ii) 2 + (1)/(sin^(2)theta) - (cos^(2)theta)/(sin^(2)theta)