if sin theta equals to 12 13 cos B equals toSania = 212 13 cos B equals to 3 by 5 and other neither a nor b is in first quadrant then find the quardrant in which A+Blies
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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
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