Answered: 1 | bartleby

Name: Use the figure to write the expression "cos y "in algebraic form given
Uploaded: 2024-03-20T06:46:55.000Z
Channel: Bartleby
Description: Use the figure to write the expression "cos y "in algebraic form given y = arccos x, where 0 < y < 2. 1

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.7: Distinguishable Permutations And Combinations

Problem 12E

See similar textbooks

Related questions

Concept explainers

Topic Video

Question

Use the figure to write the expression "cos y "in algebraic form given y = arccos x, where 0 < y < 2.

Expert Solution

Step 1

First we need to find the trigonometric expression of tan y.

From the data given y=cos^-1(x)

If y = cos^-1(x), then cos(y)=x

As the given triangle is a right angle Triangle, we can establish that

cos(y)= adjacent/hypotenuse = x/1 =x

Now using Pythagoras theorem hypotenuse²=opposite² +adjacent²

So, 1² = opposite²+ x²

opposite²= 1 - x²

Opposite= sqrt(1 - x² )

Step by step

Solved in 2 steps

Knowledge Booster

$Fundamentals of Trigonometric Identities$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

SEE MORE TEXTBOOKS