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Trigonometry> If sinA=1/3, sinB=1/4 find sin(A+B), wher...

question mark

If sinA=1/3, sinB=1/4 find sin(A+B), where A and B are acute

Sneha , 7 Years ago

Grade 11

1 Answers

Arun

Last Activity: 7 Years ago

As we know

If sinA = 1/3

Then cos A = $\sqrt$ 8/3

Now

If sinB = ¼

Then cos B = $\sqrt$ 15/4

Hence

Sin(A+B) = sinA cosB + cos A sinB

Now put the values

Sin(A+B) = $\sqrt$ 15/12 + $\sqrt$ 8/12

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