Question

Refer to the triangle in the drawing to find the indicated trigonometric function values. Rationalize any denominators containing radicals that you encounter in the answers. (Check your book to see figure) $$\sin \theta$$

Name: Problem 7, Chapter 4: Precalculus
Uploaded: 2020-06-12T22:37:15-08:00
Duration: 1 min 19 s
Channel: Robert Leedy
Description: Refer to the triangle in the drawing to find the indicated trigonometric function values. Rationalize any denominators containing radicals that you encounter in the answers. (Check your book to see figure) sinθ

   Refer to the triangle in the drawing to find the indicated trigonometric function values. Rationalize any denominators containing radicals that you encounter in the answers. (Check your book to see figure)
$$\sin \theta$$

Precalculus

Cynthia Young 2nd Edition

Chapter 4, Problem 7

Instant Answer

Solved by Expert Robert Leedy

06/12/2020

Step 1

The side opposite to the angle $\theta$ is labeled as 'opposite', and the hypotenuse is given as 7. The side adjacent to the angle $\theta$ is not given, so we will denote it as 'o'. Show more…

Show all steps

Thanks for your feedback!

Refer to the triangle in the drawing to find the indicated trigonometric function values. Rationalize any denominators containing radicals that you encounter in the answers. (Check your book to see figure) $$\sin \theta$$

Play audio

Feedback

Robert Leedy and 68 other subject Precalculus educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Right Triangle Trigonometry

This concept involves understanding the relationships between the angles and sides in a right triangle, which is fundamental for defining and computing trigonometric functions. It lays the groundwork for solving problems that involve calculating unknown side lengths or angles using trigonometric ratios.

Sine Function

In a right triangle, the sine function for an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. This ratio is essential in various applications such as solving triangles, modeling periodic phenomena, and in many areas of applied mathematics.

Rationalizing the Denominator

Rationalizing the denominator is the process of rewriting a fraction so that there are no radicals in the denominator. This is done by multiplying the numerator and denominator by a suitable expression to eliminate the radical, which simplifies further calculations and comparisons.

Please give Ace some feedback