CAT - Advance

Sec 20= 1/cos 20=1/sin 70
cot 70= cos 70/sin 70
cosec 20= 1/sin 20= 1/cos 70


(1+sec 20 + cot 70)=1+1/sin70 + cos 70/sin 70


take lcm


(sin 70+1 + cos 70)/sin 70

similarly


(1-cosec 20+ tan 70)= (cos 70-1+ sin 70)/sin 70

multiple both


(sin70 cos70- sin 70+sin^2 70+ cos 70-1+sin70+
cos^2 70- cos 70+ sin70 cos 70)/ sin70 cos70
(2sin 70 cos 70)/ sin70 cos 70

ans=2