Question

Cos 70/sin 20 +cos55 cosec35 / tan5 tan25 tan45 tan65 tan85 = 2
Prove.....

Answer 1

Answer:

Step-by-step explanation:

(Cos70 / sin20 )+ ((cos55 cosec35 )/ (tan5 tan25 tan45 tan65 tan85)),

=(cos(90-20) /sin20)+(cos55 cosec35)/(tan5 tan25 tan45 tan(90-25) tan(90-5)),

= (sin20/ sin20) + (cos55 cosec35)/ (tan5 tan25 tan45 cot25 cot5),

= 1+ (cos55 cosec35)/(1),

= 1+ (cos55/sin35),

= 1+(sin(90-35)/sin35),

= 1+(sin35/sin35),

= 1+1,

= 2,

So,Cos 70/sin 20 +cos55 cosec35 / tan5 tan25 tan45 tan65 tan85 = 2,proved.

Hope it helps.

Answer 2

Step-by-step explanation:

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