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Type: Multiple-Choice
Category: Trigonometry
Level: Grade 11
Standards: HSF-TF.A.2
Author: nsharp1
Created: 4 years ago

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Grade 11 Trigonometry CCSS: HSF-TF.A.2

Point P is a point on the unit circle centered at the origin whose coordinates are

$( (2sqrt(3))/5, -sqrt(13)/5)$ . The angle

$theta$ is the angle in standard form that has made between 4 and 5 full rotations around the origin, counterclockwise, and whose terminal arm intersects point P. What is the value of

$sin(theta) ?$

$sqrt(39)/6$
$(2sqrt(39))/13$
$(2sqrt(3))/5$
$-sqrt(13)/5$