L (1 + 5७८ 20%+ ८0 70% (1 cosec 20° + tan 70°) =2

1.	L (1 + 5७८ 20%+ ८0 70% (1 cosec 20° + tan 70°) =2
Answer» Sec 20= 1/cos 20=1/sin 70cot 70= cos 70/sin 70cosec 20= 1/sin 20= 1/cos 70 (1+sec 20 + cot 70)=1+1/sin 70+ cos 70/sin 70take LCM(sin 70+1 + cos 70)/sin 70similarly(1-cosec 20+ tan 70)= (cos 70-1+ sin 70)/sin 70 multiple both equations (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=2

Answer»

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

(1+sec 20 + cot 70)=1+1/sin 70+ cos 70/sin 70take LCM(sin 70+1 + cos 70)/sin 70similarly(1-cosec 20+ tan 70)= (cos 70-1+ sin 70)/sin 70

multiple both equations

(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=2

Discussion