Question
What is the exact value of sin 60°? Enter your answer as a fraction in simplest form by filling in the boxes.
210
likes1052 views
Answer to a math question What is the exact value of sin 60°? Enter your answer as a fraction in simplest form by filling in the boxes.
Gene
4.5108 Answers
To find the exact value of sin 60°, we can use the special right triangle with angles 30°-60°-90°.
In a 30°-60°-90° triangle, the side lengths are in the ratio1 : \sqrt{3} : 2
Therefore, in a triangle with a 60° angle, the side opposite the 60° angle is\sqrt{3}
Since sin is opposite over hypotenuse, we have:
\sin 60° = \frac{\text{opposite}}{\text{hypotenuse}} = \frac{\sqrt{3}}{2}
Therefore, the exact value of sin 60° is\boxed{\frac{\sqrt{3}}{2}}
In a 30°-60°-90° triangle, the side lengths are in the ratio
Therefore, in a triangle with a 60° angle, the side opposite the 60° angle is
Since sin is opposite over hypotenuse, we have:
Therefore, the exact value of sin 60° is
Frequently asked questions (FAQs)
What is the probability of getting exactly 3 heads when flipping a fair coin 4 times?
+
What is the limit of (2x^2 + 3x + 1) / (x^3 + 2x^2 + x + 1) as x approaches positive infinity?
+
Math question: What is the result of dividing 2/3 by 1/5?
+
New questions in Mathematics