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3 years ago

Find all solutions of the equation in the interval [0,2pi) 8sec^2x+4tan^2x-12=0

Mathematics

2 answers:

andrezito [222]3 years ago

6 0

Π/6+2πk
5π/6+2πk
you need to factor and use trig identities

____ [38]3 years ago

3 0

8(1+tan^2x)+4tan^2x-12=0.
8+12tan^2x-12=0
12tan^2x=4
tanx=1/sqrt(3)
x=atan(1/sqrt(3))
x=0.5236

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Answer:

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Step-by-step explanation:

To factor ax² + bx + c, use AC method.

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Katyanochek1 [597]

The Answer to this Question is:

(2x^2+3y)(4x^4-6x^2y+9y^2)

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3 years ago

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kupik [55]

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dmitriy555 [2]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the table

Minutes 6 15 27

Pages 20 50 90

Given two points to find the slope

(6, 20)

(15, 50)

Finding the slope between (6, 20) and (15, 50)

Slope = m = [y₂ - y₁] / [x₂ - x₁]

= [50 - 20] / [15 - 6]

= 30 / 9

= 10/3

Thus, the slope = m = 10/3

Using the point-slope form of the linear line function

$y-y_1=m\left(x-x_1\right)$

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 10/3 and the point (6, 20)

$y-20=\frac{10}{3}\left(x-6\right)$

Add 20 to both sides

$y-20+20=\frac{10}{3}\left(x-6\right)+20$

$y=\frac{10}{3}x-20+20$

$y=\frac{10}{3}x$

Therefore, the rule relating the minutes, x, to the number of pages, y.

$y=\frac{10}{3}x$

Determining the number of pages when the minutes equal 72

We already got the equation or rule relating the minutes, x, to the number of pages, y.

$y=\frac{10}{3}x$

substitute x = 72

$y=\frac{10}{3}\left(72\right)$

$y=\frac{720}{3}$

$y=240$

Therefore, the total pages are 240 when the minutes equal 72

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