Given cos 0 = 11/6 and angle 0 is in Quadrant I, what is the exact value of sin 0 in simplest form? Simplify all radicals if needed.

Gergely Kovacs asked May 14, 2023

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21 votes

Given cos 0 = 11/6 and angle 0 is in Quadrant I, what is the exact value of sin 0 in

simplest form? Simplify all radicals if needed.

Gergely Kovacs asked May 14, 2023

3.0k points

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11 votes

1 = sin²0 + cos²0

sin²0 = 1 - cos²0

sin²0 = 1 - 11/36

sin²0 = 25/36

sin 0 = 5/6 or -5/6

In the first quadrant, the values for sin, cos and tan are positive.

sin0 = 5/6

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