" 3."1+(cot^(2)theta)/(1+cosec theta)=cosec theta

1+(cot^(2)theta)/(1+csc theta)=csc theta

Prove that (cot^(2)theta)/(cosec theta+1)=cosec theta-1

show that 1 + (cot^2 theta/ (1 + cosec theta)) = cosec theta

prove that tan theta/(sec theta+1)+cot theta/(cosec theta+1)=cosec theta+sec theta-cosec theta. sec theta

Prove that (1+ cot theta + tan theta ) ( sin theta - cos theta) = (sec theta )/(cosec^(2) theta) - (cosec theta)/(sec^(2)theta) .

The inverse of [(-cot theta, cosec theta),(cosec theta,-cot theta)] is

If pi lt theta lt 2pi then sqrt ((1+cos theta)/(1-cos theta))= a. cosec theta+cot theta , b. cosec theta - cot theta , c. cot theta-cosec theta , d. -cosectheta - cot theta

If 1/(cosec theta-1)+1/(cosec theta+1) =2 sec theta, 0^@ यदि 1/(cosec theta-1)+1/(cosec theta+1) =2 sec theta, 0^@< theta < 90^@ , है, तो (cot theta+cos theta) का मान क्या होगा ?

Prove that : (cosec theta)/(cosec theta-1)+ (cosec theta)/ (cosec theta+1)= 2 sec^2 theta .

Prove that: ("cosec" theta + cot theta)/("cosec" theta - cot theta) = ("cosec" theta + cot theta )^(2) = 1 + 2 cot^(2) theta + 2 "cosec" theta cot theta .