Question

sin A + sin B= 1 ; A=30° and B is an acute angle, find the value of B​

Answer 1

$A = 30° \\ sin \: 30° = \frac{1}{2}$

$sin \: A\: + sin \: B = 1 \\ sin \: 30° + sin \: B= 1 \\ \frac{1}{2} + sin \: B = 1 \\ \\ sin \: B = 1 - \frac{1}{2} \\ \\ sin \: B = \frac{2 - 1}{2} \\ \\ sin \: B = \frac{1}{2} \\ B = 30°$

Answer 2

Answer:

Sin A + Sin B = 1

Now ,

Sin 30° + Sin B = 1 {because A = 30°}

1/2 + Sin B = 1 {Sin 30° = 1/2}

Sin B = 1 - 1/2

Sin B = 1/2

Sin B = Sin 30°

Thus , B = 30°