Determine the percent uncertainty in and in and in sin ,

Chapter 1, Problem 55GP

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QUESTION:

Determine the percent uncertainty in \(\theta\), and in \(\sin \theta\), when \((a)\ \theta=15.0^{\circ} \pm 0.5^{\circ}\), \((b)\ \theta=75.0^{\circ} \pm 0.5^{\circ}\).

Equation Transcription:

Text Transcription:

\theta

\sin\ \theta

(a) =15.0deg +/- 0.5deg

(b) =75.0deg +/- 0.5deg

Questions & Answers

QUESTION:

Determine the percent uncertainty in \(\theta\), and in \(\sin \theta\), when \((a)\ \theta=15.0^{\circ} \pm 0.5^{\circ}\), \((b)\ \theta=75.0^{\circ} \pm 0.5^{\circ}\).

Equation Transcription:

Text Transcription:

\theta

\sin\ \theta

(a) =15.0deg +/- 0.5deg

(b) =75.0deg +/- 0.5deg

ANSWER:

Step 1 of 3

(a)
We are given that,

Percentage uncertainty in

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