The graph of the equation y =2x² -2 is shown which equation will shift the graph up 3 units
1 answer:
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Answer:
- sin = -√3/2
- cos = -1/2
- tan = √3
- sec = -2
- csc = (-2/3)√3
- cot = (√3)/3
Step-by-step explanation:
See the attached picture for a drawing of the angle and its terminal point coordinates. Those are (cos(4π/3), sin(4π/3)), so we have the following trig function values:
sin(4π/3) = -√3/2
cos(4π/3) = -1/2
tan(4π/3) = sin/cos = √3
sec(4π/3) = 1/cos = -2
csc(4π/3) = 1/sin = -(2√3)/3
cot(4π/3) = 1/tan = (√3)/3
_____
<em>Additional comment</em>
It helps to know that 1/√a = (√a)/a. This lets you write the ratios with a rational denominator in each case.
The prime factorization of 240 is . 3 . 5 ⇒ last answer
Step-by-step explanation:
Prime number is the number that has only 2 factors 1 and itself
{2 , 3 , 5 , 7 , 11 , 13 , 17 , 19 , 23 , 29 , ............}
In prime factorization we use only the prime numbers
Ex: The factors of 15 are 1 , 3 , 5 , 15,
Then the prime factors of 15 are 3 and 5 only because they are
prime numbers
So to find the prime factors of a number do that
1. Factorize the number by divide it using prime numbers only
2. Write the number as a product of its prime factors
∵ 240 divisible by first prime number 2
∴ 240 ÷ 2 = 120
∵ 120 ÷ 2 = 60
∵ 60 ÷ 2 = 30
∵ 30 ÷ 2 = 15
- We divided the number by 2 for 4 times
∴ is a prime factor of 240
∵ 15 is divisible by prime number 3
∴ 15 ÷ 3 = 5
∴ 3 is a prime factor of 240
∵ 5 is divisible by prime number 5
∴ 5 ÷ 5 = 1
∴ 5 is a prime factor of 240
∴ The prime factors of 240 are , 3 , 5
The prime factorization of 240 is . 3 . 5
Learn more:
You can learn more about factors in brainly.com/question/5194236
#LearnwithBrainly
Answer:
8.30256
Step-by-step explanation:
Step 1: Write out expression
Step 2: Use BPEMDAS to evaluate
= 8.30256
And we have our answer!