How do you find the exact value of sin((3pi)/4+(5pi)/6)

metodystap9 2022-08-06 Answered
How do you find the exact value of sin ( 3 π 4 + 5 π 6 )?
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Answers (1)

Porter Mata
Answered 2022-08-07 Author has 18 answers
You could apply the formula:
sin ( α + β ) = sin α cos β + cos α sin β
Then:
sin ( 3 4 π + 5 6 π ) = sin ( 3 4 π ) cos ( 5 6 π ) + cos ( 3 4 π ) sin ( 5 6 π )
= 2 2 ( 1 2 ) + 2 2 × 3 2
= 2 4 6 4
6 + 2 4

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