In the following diagram, angle ? is in standard position. In each case, find sin theta, cos theta, and tan theta. sin theta=? cos theta=? tan theta=?

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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In the following diagram, angle ? is in standard position. In each case, find sin theta, cos theta, and tan theta.

sin theta=?

cos theta=?

tan theta=?

This image depicts a graph with an x-axis and y-axis intersecting at the origin (0,0). Plotted on the graph is a red arrow that starts from the y-axis at around y = 1.5 and extends to the third quadrant, ending at approximately (-8, 8) on the graph. The red arrow signifies a vector with its direction indicated by the arrowhead pointing towards the third quadrant.

There is also a marked angle θ formed between the vector and the positive x-axis. This angle is represented by a red arc from the positive x-axis to the vector.

The graph is on a Cartesian coordinate system, with grid lines, making it easy to see the coordinates. The x-axis has labels from -8 to 2 in intervals of 2 units, and similarly, the y-axis has labels from 0 to 8 in intervals of 2 units.

This diagram can be used to demonstrate various concepts in mathematics and physics, such as vector direction and magnitude, the calculation of angles in the Cartesian plane, and more.
Transcribed Image Text:This image depicts a graph with an x-axis and y-axis intersecting at the origin (0,0). Plotted on the graph is a red arrow that starts from the y-axis at around y = 1.5 and extends to the third quadrant, ending at approximately (-8, 8) on the graph. The red arrow signifies a vector with its direction indicated by the arrowhead pointing towards the third quadrant. There is also a marked angle θ formed between the vector and the positive x-axis. This angle is represented by a red arc from the positive x-axis to the vector. The graph is on a Cartesian coordinate system, with grid lines, making it easy to see the coordinates. The x-axis has labels from -8 to 2 in intervals of 2 units, and similarly, the y-axis has labels from 0 to 8 in intervals of 2 units. This diagram can be used to demonstrate various concepts in mathematics and physics, such as vector direction and magnitude, the calculation of angles in the Cartesian plane, and more.
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