Decide Whether the Expression Is or Is Not an Identity $\theta _ { \mathrm { S } }$

question 269

Multiple Choice

Decide whether the expression is or is not an identity.
-A wooden block sitting at rest on a flat, level board will just begin to slide when the board is tilted up to a critical angle of inclination, $\theta _ { \mathrm { S } }$ . An experiment that determines this critical angle can be used to find the coefficient of static friction, $\mu _ { \mathrm { S } }$ , for the block on the board by using the relation $\mu _ { \mathrm { S } } = \frac { \sin \theta _ { \mathrm { S } } } { \cos \theta _ { \mathrm { S } } }$ . Rewrite this relation using a quotient identity.

• A) \(\mu _ { \mathrm { S } } = \cot \theta _ { \mathrm { S } }\)
• B) \(\mu _ { \mathrm { S } } = \sec \theta _ { \mathrm { S } }\)
• C) \(\mu _ { \mathrm { s } } = \tan ^ { 2 } \theta _ { \mathrm { s } }\)
• D) \(\mu _ { \mathrm { S } } = \tan \theta _ { \mathrm { S } }\)

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Definitions:

Psychotherapy

A therapeutic process, often called "talk therapy", used to treat mental health problems by talking with a psychiatrist, psychologist, or other mental health provider.

Personality

The reasonably stable patterns of emotions, motives, and behavior that distinguish one person from another.

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(1) According to behaviorists, a relatively permanent change in behavior that results from experience; (2) according to cognitive theorists, the process by which organisms make relatively permanent changes in the way they represent the environment because of experience.

Motivation

The state in which an organism experiences an inducement or incentive to do something.