Question

Tan a + b = 1 and Cos A - b =√3 ÷
2 find the value of a and b

Answer 1

=> tan a + b = 1

:- tan a + b = tan 45

( tan 45 = 1 )

tan are common on both side
so,

a + b = 45 ........... ( i )

=> Cos a - b = √3/2

:- Cos a - b = Cos 30

( Cos 30 = √3/2 )

Cos are common both side
so,

a - b = 30 ...... ( ii )


Adding ( i ) and ( ii )

a + b + a - b = 45 + 30

2a = 75

a = 75/2

Putting value of a in equation ii

a - b = 30

(75/2) - b = 30

(75 - 2b)/2 = 30

75 - 2b = 30

-2b = 30-75

-2b = -45

b = 45/2

Answer 2

Answer:

the solution is in the attachment..

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