Evaluate 2sin(pi/12)

Turner Pitts

Turner Pitts

Answered question

2023-03-12

Evaluate 2 sin ( π 12 )?

Answer & Explanation

pritajena90k

pritajena90k

Beginner2023-03-13Added 6 answers

We have, 2 sin ( π 12 )
=2 sin ( π 3 π 4 ) [ π 3 π 4 = 4 π 3 π 12 = π 12 ]
= 2 [ sin ( π 3 ) cos ( π 4 ) cos ( π 3 ) sin ( π 4 ) ] [ sin ( A B ) = sin A × cos B cos A × sin B ]
= 2 [ ( 3 2 ) ( 1 2 ) ( 1 2 ) ( 1 2 ) ] [ sin ( π 3 ) = ( 3 2 ) , cos ( π 4 ) = ( 1 2 ) , cos ( π 3 ) = ( 1 2 ) , sin ( π 4 ) = ( 1 2 ) ]
= 2 [ ( 3 1 2 2 ]
= ( 3 1 2 )

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