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Question

Does it hold or not?
sin(A+B)=sinA+sinB for A=30o,B=60o.

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Solution

For A=30o,B=60o.

Then A+B=90o.

Then sin(A+B)

=sin90o

=1 ......(1).

Again

sinA+sinB

=sin30o+sin60o

=12+32

=1+32 ......(2).

It is clear from (1) and (2) that equality does not hold for the given values of
A and B.

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