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3 years ago

Let U be the set of natural numbers, A be the set positive odd integers and B be the

Mathematics

1 answer:

alisha [4.7K]3 years ago

6 0

Answer:

Hope it helped u

Step-by-step explanation:

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Verify identity: (sec(x)-csc(x))/(sec(x)+csc(x))=(tan(x)-1)/(tan(x)+1)

Nikitich [7]

So hmmm let's do the left-hand-side first

$\bf \cfrac{sec(x)-csc(x)}{sec(x)+csc(x)}\implies \cfrac{\frac{1}{cos(x)}-\frac{1}{sin(x)}}{\frac{1}{cos(x)}+\frac{1}{sin(x)}}\implies 
\cfrac{\frac{sin(x)-cos(x)}{cos(x)sin(x)}}{\frac{sin(x)+cos(x)}{cos(x)sin(x)}}
\\\\\\
\cfrac{sin(x)-cos(x)}{cos(x)sin(x)}\cdot \cfrac{cos(x)sin(x)}{sin(x)+cos(x)}\implies \boxed{\cfrac{sin(x)-cos(x)}{sin(x)+cos(x)}}$

now, let's do the right-hand-side then

$\bf \cfrac{tan(x)-1}{tan(x)+1}\implies \cfrac{\frac{sin(x)}{cos(x)}-1}{\frac{sin(x)}{cos(x)}+1}\implies \cfrac{\frac{sin(x)-cos(x)}{cos(x)}}{\frac{sin(x)+cos(x)}{cos(x)}}
\\\\\\
\cfrac{sin(x)-cos(x)}{cos(x)}\cdot \cfrac{cos(x)}{sin(x)+cos(x)}\implies \boxed{\cfrac{sin(x)-cos(x)}{sin(x)+cos(x)}}$

7 0

2 years ago

I need help quick. I will mark as brainliest.

Dimas [21]

Answer:

The slope is -5x

Step-by-step explanation:

To find the slope, you do rise/run. So to get from one point to the other, you would move 5 units down, and 1 unit to the right.

It can be written as -5/1 or -5.

Hope this helps!

8 0

2 years ago

How do I solve this?

Kryger [21]

y = abˣ
20 = ab¹
20 = ab
b b
20/b = a

y = abˣ
4 = (20/b)b²
4 = 20b
20 20
¹/₅ = b

y = abˣ
20 = ¹/₅b¹
20 = ¹/₅b
¹/₅ ¹/₅
100 = b

y = abˣ
y = 100(0.2)ˣ

4 0

2 years ago

Suppose that commercial airplane crashes in a certain country occur at the rate of 2.5 per year. what is the probability that fo

lesya [120]

The poisson distribution applies here.
$\lambda=2.5$
$P(X=4)=\frac{e^{-2.5}\times2.5^{4}}{4!}=0.134$

4 0

2 years ago

Determine the equation of a circle with the center (8,10) and radius 6

lyudmila [28]

Answer:

(x - 8)² + (y - 10)² = 36

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)

Pre-Calculus

Circle Center Formula: (x - h)² + (y - k)² = r²

(h, k) is center
r is radius

Step-by-step explanation:

Step 1: Define

Identify

(h, k) = (8, 10)

r = 6

Step 2: Find Equation

Substitute in variables [Center Circle Formula]: (x - 8)² + (y - 10)² = 6²
Evaluate exponents: (x - 8)² + (y - 10)² = 36

8 0

3 years ago