सिद्ध कीजिए कि -
`(tan(90^(@)+theta)"cosec"(180^(@)+theta))/(cot(180^(@)+theta)"cosec"(-theta))=-1`

(cot theta + "cosec" theta -1)/( cot theta - "cosec" theta +1) is

(cot theta + " cosec " theta -1)/(cot theta - " cosec " theta +1) =

Prove that: (tan(90^(@)-theta)sec(180^(@)-theta)sin(-theta))/(sin(180^(@)+theta)cot(360^(@)-theta)csc(90^(@)-theta))=1

If tan theta = -(5)/(12) and theta is not in the fourth quadrant then ( tan (90^(@)+ theta ) - sin(180^(@) - theta ))/( sin (270^(@)- theta ) + " cosec " (360^(@) - theta ))=

What is the value of : (sin(90^(@)-theta)sec(180^(@)-theta)sin(-theta))/(sin(180^(@)+theta)cot(360^(@)-theta)"cosec "(90^(@)+theta)) :

Prove that: (cos ec(90^(@)+theta)+cot(450^(@)+theta))/(cos ec(90^(@)-theta)+tan(180^(@)-theta))+(tan(180^(@)+theta)+sec(180^(@)-theta))/(tan(360^(@)+theta)-sec(-theta))=2

(tan(90^@-theta) cot theta)/(cosec^2 theta)-cos^2 theta=0

(sin(90^(@)-theta)sec(180^(@)-theta)sin(-theta))/(sin(180^(@)+theta)cot(360^(@)-theta)"cosec"(90^(@)+theta)) .

Simplify the following: (i) "sin"(90^(@)+theta)"tan"(270^(@)+theta)cot(90^(@)+theta) cosec(270^(@)+theta) (ii) ("sin"(-theta)"tan"(180^(@)+theta)"tan"(90^(@)+theta))/(cot(90^(@)-theta)cos(360^(@)-theta)"sin"(180^(@)-theta))