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16 votes
16 votes
HELP PLEASE. I'm having a hard time solving this question

HELP PLEASE. I'm having a hard time solving this question-example-1
User Davegravy
by
2.2k points

1 Answer

21 votes
21 votes

cos θ = -
√(2) / 6

sin θ =
\sqrt{1-(2)/(6) }

sin θ =
\sqrt{(4)/(6) }

sin θ = 2/
√(6)

tan β = 5/12

sin β = 5/5

cos β = 12/5

sin ( θ + β ) = sin θ cos β + cos θ sin β

sin ( θ + β ) = 2/
√(6) * 12/5 + ( -
√(2) / 6 ) * 5/5

sin ( θ + β ) = 2/2.44 * 2.4 + 1.414/6 * 1

sin ( θ + β ) = 0.8196 * 2.4 + 0.2356 * 1

sin ( θ + β ) = 1.96 + 0.2356

sin ( θ + β ) = 2.1956

User David Duffett
by
2.7k points