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3 years ago

Please prove the following trigonometric identity.

Mathematics

1 answer:

Brums [2.3K]3 years ago

3 0

Step-by-step explanation:

solution:- from LHS 1-cos²x/sinx

∵ 1-cos²x = sin²x

∴ sin²x /sinx = sinx

from RHS tanx × cosx

∵tanx = sinx×cosx

∴ sinx/ cosx × cosx = sinx

Since, LHS = RHS proved ___

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For the linear equation 3x + 7y = 42: a. Determine the slope: b. Determine y- intercept if it exists: c. Express equation in slo

algol13

Answer: The required answers are

(a) the slope of the given line is $-\dfrac{3}{7}.$

(b) y-intercept exists and is equal to 6.

(c) the slope-intercept form of the line is $y=-\dfrac{3}{7}x+6.$

Step-by-step explanation: We are given the following linear equation in two variables :

$3x+7y=42~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We are to :

(a) determine the slope,

(b) determine the y-intercept, if exists

and

(c) express equation in slope-intercept form.

We know that

The SLOPE_INTERCEPT form of the equation of a straight line is given by

$y=mx+c,$ where m is the slope and c is the y-intercept of the line.

From equation (i), we have

$3x+7y=42\\\\\Rightarrow 7y=-3x+42\\\\\Rightarrow y=\dfrac{-3x+42}{7}\\\\\\\Rightarrow y=-\dfrac{3}{7}x+6.$

Comparing with the slope-intercept form, we get

$\textup{slope, m}=-\dfrac{3}{7},\\\\\\\textup{y-intercept, c}=6.$

Thus,

(a) the slope of the given line is $-\dfrac{3}{7}.$

(b) y-intercept exists and is equal to 6.

(c) the slope-intercept form of the line is $y=-\dfrac{3}{7}x+6.$

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3 years ago

150 adults complete a survey 80 are women the ratio of men and women in its simplest form

zavuch27 [327]

Answer:

Step-by-step explanation:

150 - 80 equals 70

70:80 = 7:8

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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