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Anika [276]
2 years ago
9

HELP PLEASE!!!

Mathematics
1 answer:
Phoenix [80]2 years ago
4 0

The atmospheric layer responsible for weather is the troposphere.

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Verify the following identity and show steps<br><br> (Cos2 θ)/(1+sin2 θ)= (cot θ-1)/(cot θ+1)
Paul [167]

Answer:

Verified below

Step-by-step explanation:

We want to show that (Cos2θ)/(1 + sin2θ) = (cot θ - 1)/(cot θ + 1)

In trigonometric identities;

Cot θ = cos θ/sin θ

Thus;

(cot θ - 1)/(cot θ + 1) gives;

((cos θ/sin θ) - 1)/((cos θ/sin θ) + 1)

Simplifying numerator and denominator gives;

((cos θ - sin θ)/sin θ)/((cos θ + sin θ)/sin θ)

This reduces to;

>> (cos θ - sin θ)/(cos θ + sin θ)

Multiply top and bottom by ((cos θ + sin θ) to get;

>> (cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ)

In trigonometric identities, we know that;

cos 2θ = (cos² θ - sin²θ)

cos²θ + sin²θ = 1

sin 2θ = 2sinθcosθ

Thus;

(cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ) gives us:

>> cos 2θ/(1 + sin 2θ)

This is equal to the left hand side.

Thus, it is verified.

5 0
2 years ago
What is 45/1000 reduced?
Anna35 [415]
9/200. divide 45 and 1000 both by 5 to reduce it.
8 0
2 years ago
1<br> What is the slope of the line through (-9,-6) and (3,-9)?
Setler [38]

Answer:

-2/3

Step-by-step explanation:

So the slope of the line that goes through the points  and  is m=3/2

Now flip the fraction and change the sign to get the answer -2/3

PLZ MARK AS BRAINLYEST

5 0
2 years ago
Read 2 more answers
(5x2 + 4x + 3) - (2x2 - 2x + 5)
Setler [38]

Answer:

3x^2+6x-2

Step-by-step explanation:

(5x2 + 4x + 3) - (2x2 - 2x + 5)

5x^2+4x+3-2x^2+2x-5

3x^2+6x-2

7 0
3 years ago
What is the slope of a line in hat is parallel to the following: y = 3x - 4
Tcecarenko [31]

Answer:

The slope is 3

Step-by-step explanation:

Parallel lines always have the same slopes. This equation is in slope-intercept form, y=mx+b, m being the slope. Our m, or the slope, is 3, and because the line is parallel, it also has a slope of 3.

3 0
2 years ago
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