MATH 1720 Precalculus II Homework: Section 10.4 Homework Question 5, 10.4.87 Give the exact real number value of the following expression. Do not use a calculator. - 1 sin 2 cos ..... sin 2 cos - 1 (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

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**Course:** MATH 1720 Precalculus II

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**Homework:** Section 10.4 Homework

**Question 5, 10.4.87**

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**Problem Statement:**

Give the exact real number value of the following expression. Do not use a calculator.

\[
\sin\left(2 \cos^{-1}\left(-\frac{1}{9}\right)\right)
\]

---

\[ 
\sin\left(2 \cos^{-1}\left(-\frac{1}{9}\right)\right) = \square 
\]

(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
Transcribed Image Text:**Course:** MATH 1720 Precalculus II --- **Homework:** Section 10.4 Homework **Question 5, 10.4.87** --- **Problem Statement:** Give the exact real number value of the following expression. Do not use a calculator. \[ \sin\left(2 \cos^{-1}\left(-\frac{1}{9}\right)\right) \] --- \[ \sin\left(2 \cos^{-1}\left(-\frac{1}{9}\right)\right) = \square \] (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
Expert Solution
Step 1

Given expression 

Sin(2cos-1(1/9))

now first we will find cos-1(1/9) and then multiply it by 2 finally find the sin(resultant) as shown below 

steps

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Solved in 2 steps with 1 images

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