Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Connect with a community of experts ready to help you find solutions to your questions quickly and accurately. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.
Sagot :
To find the value of [tex]\(\sin 30^\circ\)[/tex], let’s follow these steps:
1. Angle Conversion:
We start by understanding that [tex]\(\sin\)[/tex] function works with angles. In trigonometry, the sine of an angle is a fundamental concept that relates the angle to the ratio of the lengths of sides in a right triangle.
2. Recognize Known Values:
There are standard angles for which the sine, cosine, and tangent values are commonly known and should be memorized. One such standard angle is [tex]\(30^\circ\)[/tex].
3. Sine of 30 Degrees:
The sine of 30 degrees is a well-known trigonometric value. It is derived from the properties of a 30-60-90 triangle, which is a special right triangle. In such a triangle, the side opposite the 30-degree angle is half the length of the hypotenuse.
4. Exact Value:
The exact value of [tex]\(\sin 30^\circ\)[/tex] is [tex]\(\frac{1}{2}\)[/tex]. This is because, in a 30-60-90 triangle, if the hypotenuse is 1, the side opposite the 30-degree angle is [tex]\( \frac{1}{2} \)[/tex].
5. Given Choices:
Considering the multiple-choice options provided:
- A. [tex]\(\frac{\sqrt{3}}{2}\)[/tex]
- B. 1
The correct answer is neither of the options provided. The exact value of [tex]\(\sin 30^\circ\)[/tex] is [tex]\(\frac{1}{2}\)[/tex], which approximates to 0.5.
To recapitulate, [tex]\(\sin 30^\circ = 0.5\)[/tex], but none of the provided choices match this correct value. It seems there is an error in the provided choices as neither accurately reflects the true value of [tex]\(\sin 30^\circ\)[/tex].
1. Angle Conversion:
We start by understanding that [tex]\(\sin\)[/tex] function works with angles. In trigonometry, the sine of an angle is a fundamental concept that relates the angle to the ratio of the lengths of sides in a right triangle.
2. Recognize Known Values:
There are standard angles for which the sine, cosine, and tangent values are commonly known and should be memorized. One such standard angle is [tex]\(30^\circ\)[/tex].
3. Sine of 30 Degrees:
The sine of 30 degrees is a well-known trigonometric value. It is derived from the properties of a 30-60-90 triangle, which is a special right triangle. In such a triangle, the side opposite the 30-degree angle is half the length of the hypotenuse.
4. Exact Value:
The exact value of [tex]\(\sin 30^\circ\)[/tex] is [tex]\(\frac{1}{2}\)[/tex]. This is because, in a 30-60-90 triangle, if the hypotenuse is 1, the side opposite the 30-degree angle is [tex]\( \frac{1}{2} \)[/tex].
5. Given Choices:
Considering the multiple-choice options provided:
- A. [tex]\(\frac{\sqrt{3}}{2}\)[/tex]
- B. 1
The correct answer is neither of the options provided. The exact value of [tex]\(\sin 30^\circ\)[/tex] is [tex]\(\frac{1}{2}\)[/tex], which approximates to 0.5.
To recapitulate, [tex]\(\sin 30^\circ = 0.5\)[/tex], but none of the provided choices match this correct value. It seems there is an error in the provided choices as neither accurately reflects the true value of [tex]\(\sin 30^\circ\)[/tex].
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.