Which of the following values of A and B satisfies, sin(A + B) = sin A

1.	Which of the following values of A and B satisfies, sin(A + B) = sin A + sin B, where 1. A = 0° , B = 90° 2. A = 45°, B = 45°3. A = 30°, B = 30°4. A = 60°, B = 30°
Answer» Correct Answer - Option 1 : A = 0° , B = 90° Given: Sin(A + B) = Sin A + Sin B Formula Used: Sin(A + B) = SinA.CosB + CosA.SinB Calculation: From option 1, A = 0° and B = 90° We have, ⇒ Sin(0° + 90° ) = Sin 0° + Sin 90° ⇒ Sin (90°) = 0 + 1 ⇒ 1 = 1 ∴ The value of A and B are 0° and 90° respectively.

Which of the following values of A and B satisfies, sin(A + B) = sin A + sin B, where 1. A = 0° , B = 90° 2. A = 45°, B = 45°3. A = 30°, B = 30°4. A = 60°, B = 30°

Answer» Correct Answer - Option 1 : A = 0° , B = 90°

Given:

Sin(A + B) = Sin A + Sin B

Formula Used:

Sin(A + B) = SinA.CosB + CosA.SinB

Calculation:

From option 1,

A = 0° and B = 90°

We have,

⇒ Sin(0° + 90° ) = Sin 0° + Sin 90°

⇒ Sin (90°) = 0 + 1

⇒ 1 = 1

∴ The value of A and B are 0° and 90° respectively.