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Vlada [557]
2 years ago
9

Cot^2(alpha)csc(alpha)+2cot(alpha)csc(alpha)-3csc(alpha)

Mathematics
1 answer:
chubhunter [2.5K]2 years ago
4 0

Answer:

Step-by-step explanation:

cot²α csc α+2 cot α csc α-3 csc α

=csc α (cot²α+2cot α-3)

=csc α (cot² α+3cot α- cot α-3)

=csc α[cot α(cot α+3)-1(cot α+3)]

=csc α (cot α+3)(cot α-1)

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Write an equation in point-slope form for the line.<br> (1,3) <br> (0,1)<br> m=4
Anna [14]

Given coordinates (1,3) and (0,1).

In order to find the equation of line, we need to find the slope between given coordinates.

We know slope formula,

m= \frac{y2-y1}{x2-x1}

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Plugging values of x1,y1,x2 and y2 in slope formula, we get

m=\frac{1-3}{0-1}

Simplifying top and bottom of the fraction we got for slope

m=\frac{-2}{-1}=2

We got slope m=2.

We are given second point (0,1), where x-coordinate is 0 and y-coordinate is 1.

y-intercept is a point on y-axis, where x=0.

Therefore, y-intercept = 1.

Now, applying slope-intercept form of the linear equation

y=mx+b, where m is the slope and b is y-intercept.

m=2 and b=1.

Plugging values of m and b in slope-intercept form, we get

y=2x+1.

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5 0
2 years ago
Please answer! Correct answers get brainiest.
egoroff_w [7]

Answer:

7/5 y --> y+ 2/5y

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Step-by-step explanation:

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7 0
2 years ago
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zaharov [31]
No, since the slopes are different

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6 0
3 years ago
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ExtremeBDS [4]

Answer:

Step-by-step explanation:

Required to prove that:

Sin θ(Sec θ + Cosec θ)= tan θ+1

Steps:

Recall sec θ= 1/cos θ and cosec θ=1/sin θ

Substitution into the Left Hand Side gives:

Sin θ(Sec θ + Cosec θ)

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Expanding the Brackets

=sinθ/cos θ + sinθ/sinθ

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Answer:

yes

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4 0
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