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State whether the following are true or false. Justify your answer. sin (A + B) = sin A + sin B. Q 4 (1)

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Find the solution of introduction of trigonometry of  ncert class 10 .Please give me the best solution of exercise 8.2 of question no. 4(1). Sir give me the easiest and simplest way to solve this question . State whether the following are true or false. Justify your answer. sin (A + B) = sin A + sin B

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  1. False.

    Justification:

    Let us take 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.

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