Question

sin a + cos b = 1, A = 30° and B is an acute angle, then find the value of B. ​

Answer 1

Answer:

Step-by-step explanation:

sin A + cos B = 1

if A = 30° then,

sin 30° + cos B = 1   [sin 30° = 1/2]

1/2 + cos B = 1

cos B = (1/1)-(1/2)

cos B = 1*2/1*2 - 1/2

cos B = 2/2 - 1/2 (take L.C.M)

cos B = 2-1/2

cos B = 1/2    [cos 60° = 1/2]

cos B = cos 60°

[cos gets cancelled from both sides)

B = 60°

so B = 60°

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