How to evaluate sin ((7pi)/12)?

Guadalupe Cooke

Guadalupe Cooke

Answered question

2023-02-17

How to evaluate sin ( 7 π 12 ) ?

Answer & Explanation

Jalen Livingston

Jalen Livingston

Beginner2023-02-18Added 7 answers

Explanation:
sin ( 7 π 12 ) = sin ( π 4 + π 3 )
Use the equation. sin ( a + b ) = sin a cos b + cos a sin b
sin ( π 4 + π 3 ) = sin ( π 4 ) cos ( π 3 ) + cos ( π 4 ) sin ( π 3 ) ... . . > 1
sin ( π 4 ) = 2 2 ; cos ( π 4 ) = 2 2
sin ( π 3 ) = 3 2 ; cos ( π 3 ) = 1 2
Put these numbers into equation 1
sin ( π 4 + π 3 ) = ( 2 2 ) ( 1 2 ) + ( 2 2 ) ( 3 2 )
sin ( π 4 + π 3 ) = 2 + 6 4

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