Use the inverse trigonometric identities to find the exact value of the expression below. sin[pi/4-cos^(-1)(-1/(sqrt(2)))]

klepkowy7c

klepkowy7c

Answered question

2022-07-26

Use the inverse trigonometric identities to find the exact value of the expression below.
sin [ π 4 cos 1 ( 1 2 ) ]

Answer & Explanation

minotaurafe

minotaurafe

Beginner2022-07-27Added 22 answers

Solution:
sin [ π 4 cos 1 ( 1 2 ) ] = sin [ π 4 ( π cos 1 1 2 ) ] = sin [ 3 π 4 + cos 1 1 2 = sin [ 3 π 4 + π 4 ] = sin ( π 2 ) = sin π 2 = 1 sin [ π 4 cos 1 1 2 ] = 1

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