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Evaluate. Write your answer as an integer or as a decimal rounded to the nearest hundredth.\newlinesin⁡51∘=\sin 51^\circ=\newline

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Full solution

Q. Evaluate. Write your answer as an integer or as a decimal rounded to the nearest hundredth.\newlinesin⁡51∘=\sin 51^\circ=\newline
  1. Find sine value: Find the value of sin⁡51°\sin 51°. \newlineUsing a calculator or a trigonometric table, we find that:\newlinesin⁡51°≈0.77714596…\sin 51° \approx 0.77714596\ldots
  2. Round to nearest hundredth: Round the value to the nearest hundredth.\newlineTo round to the nearest hundredth, we look at the third decimal place. Since the third decimal place is 77, which is greater than 55, we round the second decimal place up by one.\newlineTherefore, sin⁡51°\sin 51° rounded to the nearest hundredth is approximately 0.780.78.

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