Answered

Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Why is the value of sin 4pi over 3 equal to negative root 3 over 2

Sagot :

laestevamfilho
4π/3 = ~1.3π, which is between 1π and 3π/2 and therefore is an angle in the 3rd quadrant (image shows it). The absolute value of the angle will be the same as its opposite in the trigonometric circle, π/3, which is a well known angle with a sine of √(3)/2. But with that a angle in the 3rd quadrant, both sine and cosine will be negative, so the final value of sin(4π/3) = -√(3)/2
View image laestevamfilho
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.