Find the value of `(1-\sin^2 \theta). \cot \theta . \cosec \theta`

If tan theta=-3/4 and pi/2 < theta < pi, find the values of sin theta,cos theta and cot theta .

Given : 4 sin theta = 3 cos theta , find the value of : (i) sin theta (ii) cos theta (iii) cot^(2) theta - "cosec"^(2) theta (iv) 4 cos^(2) theta - 3 sin^(2) theta + 2

If cot theta = (3)/(4) find the value of : ( sin theta- cos theta)/(sin theta+cos theta)

If theta is an acute angle and sin theta=(a^2-b^2)/(a^2+b^2) (a, b>0) find the values of tan theta , sec theta and cosec theta

Find the general value of theta 2 cot ^(2) theta = cosec ^(2) theta

If cos theta = - 3/5 and pi lt theta lt (3pi)/2 , find the value of (sec theta - tan theta)/(cosec theta + cot theta)

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

Find the general value of theta in sec theta - cosec theta = (4)/(3)

If "cosec" theta = sqrt5 , find the value of : 2+1/(sin^2theta)-(cos^2theta)/(sin^2theta)

Find the minimum value of sec^2 theta + cosec^2 theta - 4.