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Use the angle in the unit circle to find the value of the three trigonometric functions below. Enter the exact answers. sint = tant = sect= SP as Fo V3 2 12 x Submit Ossignment

Use the angle in the unit circle to find the value of the three trigonometric functions below. Enter the exact answers. sint = tant = sect= SP as Fo V3 2 12 x Submit Ossignment

Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Question
## Determining Trigonometric Functions Using the Unit Circle ### Instructions: Use the angle in the unit circle to find the value of the three trigonometric functions below. ### Diagram Explanation: A unit circle is drawn on a Cartesian plane. The unit circle has a radius of 1 and is centered at the origin (0,0). There is an angle \( t \) marked in the first quadrant, intersecting the circle at point \(\left(\frac{\sqrt{3}}{2}, \frac{1}{2}\right)\). This point indicates the cosine and sine values for angle \( t \). The x-coordinate (\(\frac{\sqrt{3}}{2}\)) represents \(\cos t\) and the y-coordinate (\(\frac{1}{2}\)) represents \(\sin t\). ### Enter the exact answers for: **1. \(\sin t =\)** **2. \(\tan t =\)** **3. \(\sec t =\)** ### Additional Notes: - \(\sin t\) is the y-coordinate of the intersection point of the angle with the unit circle. - \(\tan t\) is the ratio of \(\sin t\) to \(\cos t\). - \(\sec t\) is the reciprocal of \(\cos t\). Please use exact values (i.e., fractions or square roots) rather than decimal approximations for your answers. **Submit your assignment** when you are done.
Transcribed Image Text:## Determining Trigonometric Functions Using the Unit Circle ### Instructions: Use the angle in the unit circle to find the value of the three trigonometric functions below. ### Diagram Explanation: A unit circle is drawn on a Cartesian plane. The unit circle has a radius of 1 and is centered at the origin (0,0). There is an angle \( t \) marked in the first quadrant, intersecting the circle at point \(\left(\frac{\sqrt{3}}{2}, \frac{1}{2}\right)\). This point indicates the cosine and sine values for angle \( t \). The x-coordinate (\(\frac{\sqrt{3}}{2}\)) represents \(\cos t\) and the y-coordinate (\(\frac{1}{2}\)) represents \(\sin t\). ### Enter the exact answers for: **1. \(\sin t =\)** **2. \(\tan t =\)** **3. \(\sec t =\)** ### Additional Notes: - \(\sin t\) is the y-coordinate of the intersection point of the angle with the unit circle. - \(\tan t\) is the ratio of \(\sin t\) to \(\cos t\). - \(\sec t\) is the reciprocal of \(\cos t\). Please use exact values (i.e., fractions or square roots) rather than decimal approximations for your answers. **Submit your assignment** when you are done.
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