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Oliga [24]
3 years ago
12

Which expression is equivalent to sin^2(pi/2 - x)/ sin x?

Mathematics
1 answer:
Yuki888 [10]3 years ago
3 0
We\ know:\\\\\sin\left(\dfrac{\pi}{2}-x\right)=\cos x\\and\\\sin^2x+\cos^2x=1\to\sin^2x=1-\cos^2x\\---------------------------\\\\\dfrac{\sin^2\left(\dfrac{\pi}{2}-x\right)}{\sin x}=\dfrac{\cos^2x}{\sin x}=\dfrac{1-\sin^2x}{\sin x}=\dfrac{1}{\sin x}-\dfrac{\sin^2x}{\sin x}\\\\=\dfrac{1}{\sin x}-\sin x=\csc x-\sin x
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Photo above need help
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Answer:

m = 0

Step-by-step explanation:

<u>If two lines are parallel, their slopes are equal. </u>

The slope of x - axis is 0

(why?)

because, slope of a line is given by

\boxed{\mathsf{slope\:of\:a\:line=tan \theta}}

Θ is the angle made by the line with the x- axis.

Here, the line in question is the x- axis itself, and every line makes an angle of 0° with itself.

=> Θ = 0

=> tan Θ = 0

=> slope = 0

and the line in blue is parallel to the X- axis, therefore, it's slope is also 0

(also, a line makes an angle of 0° with the line it's parallel to)

<u>                                </u>

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2 years ago
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What is 2 lines that form a right angle at their point of intersection
Zielflug [23.3K]

Answer:

Perpendicular lines.

Step-by-step explanation:

They are called perpendicular lines.

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3 years ago
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Two trains 500 miles apart accidentally are on the same track heading toward each other. The passenger train is traveling 80 mph
Natalka [10]

Answer:

2 miles

Step-by-step explanation:

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120 mi/h = 120 mi/(60 min) = 2 mi/min

The distance between the trains at the 1-minute mark is ...

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They were warned when two miles apart.

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3 years ago
What is 7 2/3 + 8 5/6
Archy [21]
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PLEASE HELP The areas of two similar triangles are 50 dm2, and 32 dm2. The sum of their perimeters is 117 dm. What is the perime
Novosadov [1.4K]

Answer:

65 dm and 52 dm

Step-by-step explanation:

If the scale factor of the sides is k, then the scale factor of the areas is k^2.

The scale factor of the areas is (32 dm^2)/(50 dm^2) = 0.64 = k^2

The scale factor of the sides is k = \sqrt(0.64) = 0.8

The perimeters are in a ratio of 1:0.8

x + 0.8x = 117

1.8x = 117

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0.8x = 0.8(65) = 52

The perimeters are 65 dm and 52 dm.

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