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Grade: 12th pass
        (Sin70° + Cos40°)/(Cos70°+Sin40°) what is the value ?
2 years ago

Answers : (2)

Arun
23544 Points
							
Dear Tanuja
 
(sin 70 + cos 40) / (cos 70 + sin 40) 
= (sin 70 + sin 50) / (cos 70 + cos 50) 
= (sin(60+10) + sin(60-10)) / (cos(60+10) + cos(60-10)) 
= 2sin60cos10/(2cos60cos10) 
= tan60 
= sqrt 3 
 
Regards
Arun (askIITians forum expert)
2 years ago
Avijey
13 Points
							
(sin70 + cos40) / (cos70+sin40)
= sin70 + cos(90-50) / cos70 + sin(90-50)
= (sin70 + sin50) / (cos70 + cos 50)
= (2sin60×cos20) / (2cos60×cos20)
= 2sin60 / 2cos60
= sin60/cos60
= tan60
√3
9 months ago
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