**Transcription for Educational Website:** --- **Trigonometric Expression Simplification** Let \(\sin t = a\), \(\cos t = b\), and \(\tan t = c\). Write the expression in terms of \(a\), \(b\), and \(c\). \[ 5 \sin (-t) - \sin t \] The expression to simplify is: \[ 5 \sin (-t) - \sin t = \boxed{\phantom{answer}} \] *(Simplify your answer.)* *Note:* The sine function is odd, which means \(\sin(-t) = -\sin(t)\). \[ Enter your answer in the answer box. \] *Save for Later* --- There are no graphs or diagrams included in this content.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Transcription for Educational Website:**

---

**Trigonometric Expression Simplification**

Let \(\sin t = a\), \(\cos t = b\), and \(\tan t = c\). Write the expression in terms of \(a\), \(b\), and \(c\).

\[
5 \sin (-t) - \sin t
\]

The expression to simplify is:

\[
5 \sin (-t) - \sin t = \boxed{\phantom{answer}}
\]

*(Simplify your answer.)*

*Note:* The sine function is odd, which means \(\sin(-t) = -\sin(t)\).

\[ 
Enter your answer in the answer box.
\]

*Save for Later*

--- 

There are no graphs or diagrams included in this content.
Transcribed Image Text:**Transcription for Educational Website:** --- **Trigonometric Expression Simplification** Let \(\sin t = a\), \(\cos t = b\), and \(\tan t = c\). Write the expression in terms of \(a\), \(b\), and \(c\). \[ 5 \sin (-t) - \sin t \] The expression to simplify is: \[ 5 \sin (-t) - \sin t = \boxed{\phantom{answer}} \] *(Simplify your answer.)* *Note:* The sine function is odd, which means \(\sin(-t) = -\sin(t)\). \[ Enter your answer in the answer box. \] *Save for Later* --- There are no graphs or diagrams included in this content.
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