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2 years ago

SecA-tanA/secA+ tanA = ( secA-tanA)^2

Mathematics

1 answer:

miv72 [106K]2 years ago

5 0

Answer:

A = ...-5π ,-4π ,-3π, -2π, -π, 0, π, 2π, 3π, 4π, 5π....

A = {x ∈ N, πx}

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Use Newton’s method to approximate the indicated root of the equation correct to six decimal places. The positive root of 3 sin

MAXImum [283]

Answer:

$x \approx 2.278863$

Step-by-step explanation:

Required

The positive root of $3\sin(x) = x$

Equate to 0

$0 = x -3\sin(x)$

So, we have our function to be:

$h(x) = x -3\sin(x)$

Differentiate the above function:

$h'(x) = 1 -3\cos(x)$

Using Newton's method of approximation, we have:

$x_{n+1} = x_n - \frac{h(x_n)}{h'(x_n)}$

Plot the graph of $h(x) = x -3\sin(x)$ to get $x_1$ --- see attachment for graph

From the attached graph, the first value of x is at 2.2; so:

$x_1 = 2.2$

So, we have:

$x_{n+1} = x_n - \frac{h(x_n)}{h'(x_n)}$

$x_{1+1} = x_1 - \frac{h(x_1)}{h'(x_1)}$

$x_{2} = 2.2 - \frac{2.2 -3\sin(2.2)}{1 -3\cos(2.2)} = 2.28153641$

The process will be repeated until the digit in the 6th decimal place remains unchanged

$x_{3} = 2.28153641 - \frac{2.28153641 -3\sin(2.28153641)}{1 -3\cos(2.28153641)} = 2.2788654$

$x_{4} = 2.2788654 - \frac{2.2788654 -3\sin(2.2788654)}{1 -3\cos(2.2788654)} = 2.2788627$

$x_{5} = 2.2788627 - \frac{2.2788627-3\sin(2.2788627)}{1 -3\cos(2.2788627)} = 2.2788627$

Hence:

$x \approx 2.278863$

4 0

2 years ago

What is the domain of the relation? {x| x = –4 , 0, 1, 2}. {x| x = –7, –6, 2, 11, 3}. {y| y = –4, 0, 1, 2}. {y| y = –7, –6, 2, 1

sukhopar [10]

Answer:

The correct answer B on ED

Step-by-step explanation:

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2 years ago

Hi yessi it me can u see this

umka2103 [35]

Answer:

Answer Is (Answer) Trust me 100% sure.️Hit that report button Too:)

Step-by-step explanation:

6 0

2 years ago

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ABCD is a rectangle ,its diagonals meet at O.If AO = 5x+1 and BO = 4x+9,find the length of the diagonals .(lengths in cm).

Sergeu [11.5K]

Answer:

82 cm

Step-by-step explanation:

In rectangles diagonals are equal and bisect each other

AO = BO

5x + 1 = 4x + 9

Subtract 1 from both sides

5x = 4x + 9 -1

5x = 4x + 8

Subtract 4x from both the sides

5x - 4x = 8

x = 8

AO = 5x + 1

= 5*8 +1

= 40 + 1

AO= 41 cm

Diagonal = 2*41 = 82 cm

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2 years ago

What is 3(5x^2-9x) evaluated for x=-3

Studentka2010 [4]

Answer:

216

Step-by-step explanation:

put -3 where x is

3 ( 5 -3^2 - 9(-3) )

3 ( 45 + 27 )

3 (72)

216

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1 year ago

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SecA-tanA/secA+ tanA = ( secA-tanA)^2​

SecA-tanA/secA+ tanA = ( secA-tanA)^2