Question
State whether the following is true or false. Justify your answer.
sin (A + B) = sin A + sin B
True
False
Solution
sin (A + B) = sin A + sin B
Let A = 30° and B = 60°
sin (A + B) = sin (30° + 60°)
= sin 90°
= 1
sin A + sin B = sin 30° + sin 60°
`= 1/2 + (sqrt3)/2 = (1+sqrt3)/2`
Clearly, sin (A + B) ≠ sin A + sin B
Hence, the given statement is false.
Is there an error in this question or solution?
Solution State whether the following are true or false. Justify your answer. sin (A + B) = sin A + sin B Concept: Trigonometric Ratios of Some Specific Angles.
