If `(theta)` lies in III quadrant and `sin theta=(-4)/(5)`, then the value of `tan^(2)((theta)/(2))` is equal to

If theta lies in the fourth quadrant and sec theta=(5)/(3) , then the value of (6tan theta+5 cos theta)/(5 cot theta+"cosec" theta).

If theta lies in the second quadrant and tan theta=(-5)/(12) , find the value of (2cos theta)/(1-sin theta) .

If theta lies in the first quadrant and cos^(2)theta - sin^(2) theta = (1)/(2) , then the value of tan^(2) 2 theta + sin^(2) 3 theta is :

If theta lies in 1st quadrant and cos theta=24/25 , then find sin theta and tan theta .

if theta lies in 4th quadrant and sec theta=(5)/(3) then find the value of (6tan theta+5cos theta)/(5cot theta+cos ec theta)

If theta lies in third Quardrant and Sintheta=(-4)/5 . Find the values of " cosec "(theta/2)and Tan(theta/2)

If sin theta = cos theta ,then the value of 2 tan^(2) theta + sin^(2) theta -1 is equal to

Fill in the gaps with correct answer . If theta lies in the third quadrant and tan theta = 2 then the value of sin theta is _____