Question

find A and B, if sin (A + 2B) = 1 and cos (A + B) =-​

Answer 1

Step-by-step explanation:

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Answer 2

GIVEN:

sin (A + 2B) = 1

=> sin(A+2B) = sin30

=> A+2B = 30 ---------(1)

and cos (A + B) = 1

=> cos(A+B ) = cos60

=> A+B = 60 --------(2)

(1)=> A = 30-2B ________(3)

Now , putting the value of A in eq no. (2)

30-2B +B = 60

=> 30- B = 60

=> B = -30

Now , putting the value of B in eq no. (3)

A = 30-2×(-30)

= 90

So,

A ------> 90

B--------> -30

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