Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Discover comprehensive answers to your questions from knowledgeable professionals on our user-friendly platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
To determine the value of [tex]\(\cos 60^\circ\)[/tex], let's break it down step-by-step:
1. First, we need to know what [tex]\(\cos 60^\circ\)[/tex] represents. Cosine is one of the primary trigonometric functions, which relates the angle of a right triangle to the ratio of the adjacent side to the hypotenuse.
2. The value of [tex]\(\cos 60^\circ\)[/tex] is a well-known trigonometric value. In fact, [tex]\(\cos 60^\circ\)[/tex] simplifies to [tex]\(\frac{1}{2}\)[/tex].
However, to confirm this, we could inspect the provided answers and match them to the expected cosine value:
- A. [tex]\(\frac{1}{2}\)[/tex]: Mathematically, [tex]\(\frac{1}{2}\)[/tex] is equivalent to 0.5.
- B. 2: This is a whole number and it does not correspond to the known trigonometric value for [tex]\(\cos 60^\circ\)[/tex].
- C. [tex]\(\frac{2}{\sqrt{3}}\)[/tex]: This equals approximately 1.1547 when calculated, which does not match [tex]\(\cos 60^\circ\)[/tex].
- D. [tex]\(\frac{\sqrt{3}}{2}\)[/tex]: This value equals approximately 0.8660, which again, does not match [tex]\(\cos 60^\circ\)[/tex].
When we compare these numbers to the known value of [tex]\(\cos 60^\circ\)[/tex], which is exactly 0.5, only the answer provided in Option A. [tex]\(\frac{1}{2}\)[/tex] matches.
Final Answer: A. [tex]\(\frac{1}{2}\)[/tex]
1. First, we need to know what [tex]\(\cos 60^\circ\)[/tex] represents. Cosine is one of the primary trigonometric functions, which relates the angle of a right triangle to the ratio of the adjacent side to the hypotenuse.
2. The value of [tex]\(\cos 60^\circ\)[/tex] is a well-known trigonometric value. In fact, [tex]\(\cos 60^\circ\)[/tex] simplifies to [tex]\(\frac{1}{2}\)[/tex].
However, to confirm this, we could inspect the provided answers and match them to the expected cosine value:
- A. [tex]\(\frac{1}{2}\)[/tex]: Mathematically, [tex]\(\frac{1}{2}\)[/tex] is equivalent to 0.5.
- B. 2: This is a whole number and it does not correspond to the known trigonometric value for [tex]\(\cos 60^\circ\)[/tex].
- C. [tex]\(\frac{2}{\sqrt{3}}\)[/tex]: This equals approximately 1.1547 when calculated, which does not match [tex]\(\cos 60^\circ\)[/tex].
- D. [tex]\(\frac{\sqrt{3}}{2}\)[/tex]: This value equals approximately 0.8660, which again, does not match [tex]\(\cos 60^\circ\)[/tex].
When we compare these numbers to the known value of [tex]\(\cos 60^\circ\)[/tex], which is exactly 0.5, only the answer provided in Option A. [tex]\(\frac{1}{2}\)[/tex] matches.
Final Answer: A. [tex]\(\frac{1}{2}\)[/tex]
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.