nolinweathersby0929 nolinweathersby0929

18-03-2020
Mathematics

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Find the exact value of 75(degrees); leave answer in simplest radical form. Enter terms under the radical in number order.

sin 75 = sin(45 + 30) =

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roydscott roydscott

22-03-2020

Answer:

sin75º=sin(30)º+45º)

=sin 30 cos 45+cos 30 sin 45

=1/2*√2/2+√3/2*√2/2

=√2/4+√6/4

=(√2+√6)/4

Check with calculator:

sin 75º≈0.9659

exact value=(√2+√6)/4≈0.9659

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