If `sin theta=(a^2-b^2)/(a^2+b^2)`,then find the values of `cosec theta`.

If sin theta-cos theta=0 ,find the value of sec theta+ cosec theta

If sin theta = 5/13 , find the value of (cot theta + cosec theta) .

If sqrt3tantheta=1(0^@<0<90^@) ,find the value of sin^2theta-cos^2theta

If sec theta=sqrt(2) and 3pi/2ltthetalt2pi ,find the value of (1+tan theta+cos theta)/(1+cot theta-cosec theta)

If tan theta =3/4 , find the value of cos^2 theta - sin^2 theta .

If sec theta- tan theta=1/2 ,find the value of sec theta+ tan theta

If cos 9 theta = sin theta and 9 theta < 90° then find the value of tan 5 theta.

If cos theta =-1/2 and piltthetalt3pi/2 ,find the value of 4tan^2 theta-3 cosec^2 theta .

If sec theta=4 , find the value of cos theta/(4cos^2 theta+3sin^2 theta) .

If x is real and x=sin theta -sqrt(sin^2theta -1) find the value of theta(-pi/2lethetalepi/2) .