Use Identities to Fill in the Blank with the Appropriate $\cos \theta$

question 159

Multiple Choice

Use identities to fill in the blank with the appropriate trigonometric function name.
-Find $\cos \theta$ if $\tan \theta = 4$ and $\sin \theta < 0$ .

• A) \(- 17\)
• B) \(\frac { 1 } { 4 }\)
• C) \(- \frac { \sqrt { 17 } } { 17 }\)
• D) \(- \frac { \sqrt { 17 } } { 4 }\)

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Definitions:

2-in-1

A type of laptop or tablet designed to serve dual functions, typically having a detachable keyboard or a foldable screen to convert between laptop and tablet modes.

Laptop

A portable personal computer with a clamshell form factor, suitable for mobile use.

Tablet

A portable computing device featuring a touch-sensitive screen that can be used as a platform for applications, browsing the internet, and multimedia consumption.

Operating System

A program that oversees both computer hardware and software assets, offering shared services for various computer applications.