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if sin a = 12 /13 ,cos b = 3/5 AND NEITHER a nor b is in first quadrant ,then find quadrant in which a+b lies

if sin a = 12 /13 ,cos b = 3/5 AND NEITHER a nor b is in first quadrant ,then find quadrant in which a+b lies

Grade:11

2 Answers

Arun
25750 Points
5 years ago
Dear student
 
sin a = 12/13
 
Hence a will be in 2nd quadrant.
 
cos b = 3/5 
Hence b will lie in 4th quadrant
 
Now
 
 sin (a+b) = sin a cos b + cos a sin b
 
 = (12/13) * (3/5) + (-5/13) *( -4/5)
 
 = 56/65
 
 cos (a +b) = -15/65 + 48/65 = 33/65
 
Hence (a+b ) will lie in 1st quadrant
Sourab
13 Points
5 years ago
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Charas Ganja mere Ko pyara
Insan hi Insan Ko Manta nahi
Aye Rupali aye Rupali 
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A+B will lie on 1st quadrant

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