Multiple Choice
In a right triangle, what is the reciprocal of ?
2. Trigonometric Functions on Right Triangles
Trigonometric Functions on Right Triangles
Multiple Choice
Triangle is rotated clockwise about the origin to form . If , what is the sine of angle ?
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Verified step by step guidance1
Understand that rotating a triangle about the origin is a rigid transformation, which means the shape and size of the triangle, including its angles, remain unchanged.
Since triangle BCD is rotated 80° clockwise to form triangle KLM, the corresponding angles in triangle KLM are congruent to those in triangle BCD.
Given that angle \( \angle KLM = 30^\circ \), we want to find \( \sin(\angle KLM) \).
Recall the sine value for a 30° angle: \( \sin(30^\circ) = \frac{1}{2} \).
Therefore, the sine of angle \( \angle KLM \) is \( \frac{1}{2} \), since the rotation does not change the angle measure.
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