1 It cosec (A+B) = 1 and cot CA-B) = 3
0 < A+B 90 AB Find A and B​

2 thoughts on “1 It cosec (A+B) = 1 and cot CA-B) = 3<br />0 < A+B 90 AB Find A and B​”

1. Answer:

   A cosec B sec

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2. Step-by-step explanation:

   Given sin(A+B)=1

   ⇒sin(A+B)=sin90

   o

   (∵sin90

   o

   =1)

   ⇒A+B=90

   o

   …………(1)

   Again, cos(A−B)=

   3

   /2

   ⇒cos(A−B)=cos30

   o

   (∵cos30

   o

   =

   3

   /2)

   ⇒A−B=30

   o

   …………(2)

   Adding (1)+(2)

   A+B+A−B=90

   o

   +30

   o

   ⇒2A=120

   o

   ⇒A=120/2

   ⇒A=60

   o

   Putting A=60

   o

   in equation-(2) we get

   A−B=30

   o

   ⇒60

   o

   −B=30

   o

   ⇒60

   o

   −30

   o

   =B

   ⇒B=30

   o

   ∴A=60

   o

   ;B=30

   o

   .

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