Prove, Cosec2A + cot2A = cotA​

Answers

Answer 1
Answer:

Proved

Step-by-step explanation:

Cosec2A + cot2A = cotA​

On Left hand-side

Cosec2A + cot2A = (1)/(sin2A) +(cos2A)/(sin2A) \n\n\n

=(1)/(2sinAcosA) +(2cos^2A-1)/(2sinAcosA)

(1+2cos^2A-1)/(2sinAcosA) \n\n\n=(2cos^22A)/(2sinAcosA) \n\n=(cosA)/(sinA) \n\n\n=cotA

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What is the solution to this inequality
2(x - 4 ) < 5x + 4

Answers

Answer:

x<4

Step-by-step explanation:

-Simplify the arithmetic

-Group all x terms on the left side of the equation

-Group all constants on the right side of the equation

-Isolate the x.

-Solution on a coordinate plane

Joann invested $43,000 at 6% to be compounded annually. What will be the value of Joann's investment in 2 years? Round your answer to the nearest cent. Note: 365 days in a year and 30 days in a month.

Answers

Answer:

The total amount after 2 years of Joann's investment at a rate of 6% compounded annually is US$ 48.314.80 (rounded to the nearest cent)

Step-by-step explanation:

1. Let's review the data given to us for answering the question:

Investment amount = US$ 43,000

Duration of the investment = 2 years

Annual interest rate = 6% compounded annually

2. Let's find the future value of this investment after 2 years, using the following formula:

FV = PV * (1 + r) ⁿ

PV = Investment = US$ 43,000

number of periods (n) = 2 (2 years compounded annually)

rate (r) = 6% = 0.06

Replacing with the real values, we have:

FV = 43,000 * (1 + 0.06) ²

FV = 43,000 * (1.06) ²

FV = 43,000 * 1.1236

FV = US$ 48.314.80

What is the best estimate for the product of 289 and seven

Answers

the best estimate is 300*7=2100

The steps below show the incomplete solution to find the value of x for the equation 5x − 2x − 3 = −2 + 15: Step 1: 5x − 2x − 3 = −2 + 15 Step 2: 5x − 2x − 3 = 13 Step 3: 3x − 3 = 13 Which of these is most likely the next step? (4 points) 3x = 16 3x = 10 3x = 39 3x = 3i believe it is 3x=3

Answers

The next step is 3x = 16

Which shows the prime factorization of 36? A.
2 • 2 • 2 • 3

B.
2 • 2 • 3 • 3

C.
2 • 2 • 9 • 1

D.
2 • 3 • 3 • 3

Answers

The correct answer would be your choice B.
because;
(2 × 2) × (3 × 3) = 
    ↓             ↓
   4       ×     9     = 36
hope that helps :D
the answer would be B

Order from least to greatest ---- -2.15 17/7 2.7 -2.105

Answers

In order from least to greatest ---- -2.15, -2.105, 17/7, 2.7