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Chapter 6: Problem 63

Find the function value. Round to four decimal places. $$\sin 69^{\circ}$$

Short Answer

Expert verified
\sin 69^{\circ} \approx 0.9336

Step by step solution

01

- Identify the Function

Identify the trigonometric function we are dealing with, which is \( \sin \) in this case.
02

- Use a Calculator

Use a calculator to find the value of the function. Enter \( \sin 69^{\circ} \) into the calculator, ensuring it is set to degrees mode.
03

- Round the Answer

Round the result to four decimal places. The calculator will provide a value, which needs to be rounded to four decimal places.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Understanding the Sine Function
The sine function, denoted as \( \text{sin} \, \theta \), is a fundamental concept in trigonometry. It relates to the ratio of the opposite side to the hypotenuse in a right-angled triangle. Using the sine function, you can find the vertical component of an angle. For instance, when you look at the angle of \(69^{\circ}\) in a triangle, the sine function helps you determine how

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Most popular questions from this chapter

Find the function value. Round to four decimal places. $$\cos 205.5^{\circ}$$

Find the function value. Round to four decimal places. $$\tan 1086.2^{\circ}$$

$$\text {Graph each of the following.}$$ $$f(x)=|x| \cos x$$

$$\text {Graph each of the following.}$$ $$f(x)=x \sin x$$

Graph. Using a calculator, consider ( \(\sin x\) ) \(/ x,\) where \(x\) is between 0 and \(\pi / 2 .\) As \(x\) approaches \(0,\) this function approaches a limiting value. What is it?
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