Question

+ = 1, = 30° and B is an acute angle, then find the value of B. ​

Answer 1

Question:

Sin A + Cos B = 1, A = 30 degrees and B is an acute angle then find the value of B.​

Step-by-step explanation:

Sin 30° + cos B = 1

As we know , sin30° = $\frac{1}{2}$

So,

$\frac{1}{2} + cosB = 1\\cosB = 1 -\frac{1}{2} \\cosB = \frac{2-1}{2} \\cos B = \frac{1}{2}$

As we know , cos 60° = $\frac{1}{2}$

So,

B = 60°