Question

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

Answer 1

Answer:

• The value of B is 60°.

Step-by-step explanation:

Given that:

• Sin A + Cos B = 1
• A = 30° and B is an acute angle.

To Find:

• The value of B.

Finding the value of B:

• According to the question.

⟶ Sin A + Cos B = 1

• Substituting the value of A.

⟶ Sin 30° + Cos B = 1

• We know: Sin 30° = 1/2

⟶ 1/2 + Cos B = 1

⟶ Cos B = 1 - 1/2

⟶ Cos B = (2 - 1)/2

⟶ Cos B = 1/2

• We know: Cos 60° = 1/2

⟶ Cos B = Cos 60°

• Cos cancelled both sides.

⟶ B = 60°