By applying Pythagorean theorem, we have proven that the point (-1/2, -√3/2) lies on the unit circle.
<h3>How to prove this point lies on the unit circle?</h3>
In Trigonometry, an angle with a magnitude of -120° is found in the third quarter and as such, both x and y would be negative. Also, we would calculate the reference angle for θ in third quarter as follows:
Reference angle = 180 - θ
Reference angle = 180 - 120
Reference angle = 60°.
For the coordinates, we have:
sin(-120) = -sin(60) = -1/2.
cos(-120) = -cos(60) = -√3/2.
By applying Pythagorean theorem, we have:
z² = x² + y²
z = √((-1/2)² + (-√3/2)²)
z = √(1/4 + 3/4)
z = √1
z = 1.
Read more on unit circle here: brainly.com/question/9797740
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Answer:D
Step-by-step explanation:
Probability of rolling a 5 on the first roll is 1/6 because there is only 1 number to roll out of 6. Then, roll a number larger than 4 is 5 and 6. That is 2 numbers. 2 numbers out of 6. Multiply those 2. 1/6 * 2/6=2/36. Simplified is 1/18
Answer: 7 × 11 × 13 = 1001
Step-by-step explanation:
Solution: Since, the prime factors of 1001 are 7, 11, 13. Therefore, the product of prime factors = 7 × 11 × 13 = 1001.
Can i have a real question please!
