prove that sec square (tan inverse 2) +cosec square (cot inverse 3) =15 Share with your friends Share 17 Priyanka Kedia answered this L.H.S.=sec2tan-12+cosec2cot-13 =1+tan2tan-12+1+cot2cot-13 =1+tantan-122+1+cotcot-132 =1+22+1+32 =1+4+1+9 =15 =R.H.S.Hence Proved. 69 View Full Answer mudosta answered this secsquare(taninverse 2)=sec ^2 (sec ^-1 √5 )=(√5)^2=5 ...............1similarly,cosecsquare(cotinverse 3)=cosec^2 (cosec^-1√10)=(√10)^2=10.............2ADD 1 and 2you get the answer -16