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Grade: 12

                        

State whether the following are true or false. Justify your answer. sin (A + B) = sin A + sin B.

one month ago

Answers : (1)

Anand Kumar Pandey
askIITians Faculty
1583 Points
							Dear Student

The solution isFalse.

Justification:
Let us take an example of A = 30° and B = 60°, then
Substitute the values in the sin (A + B) formula,
we get sin (A + B) = sin (30° + 60°)
= sin 90°
= 1
and,
sin A + sin B = sin 30° + sin 60°

= 1/2+ √3/2
= 1+√3/2
Since the values obtained are not equal, the solution is false.

Thanks
one month ago
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