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avanturin [10]
3 years ago
10

Can someone write out the steps on how to verify this identity?

Mathematics
1 answer:
zhenek [66]3 years ago
3 0

Step-by-step explanation:

(csc θ − 1) / cot θ

Multiply top and bottom by the conjugate csc θ + 1.

(csc θ − 1) (csc θ + 1) / (cot θ (csc θ + 1))

Distribute.

(csc²θ − 1) / (cot θ (csc θ + 1))

Use Pythagorean identity.

cot²θ / (cot θ (csc θ + 1))

Divide.

cot θ /  (csc θ + 1)

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The price of a t-shirt is 50$. If you buy 4 shirts, you will get 10% discount. How much do
lawyer [7]

Answer:

360

Step-by-step explanation:

50x4=200

200x0.9=180

180x2=360

6 0
3 years ago
The ceiling of Stacy's living room is a square that is 25 ft long on each side. Stacy
Brut [27]

Answer:

A. 35 ft.

B. 35 ft

Step-by-step explanation:

Please see attached photo for diagram.

A. Determination of the diagonal using pythagorean theorem.

A square has all sides equal. Thus, the diagonal of the square can be obtained as follow:

Ist leg (L₁) = 25 ft

2nd leg (L₂) = 25 ft

Diagonal (d) =?

d² = L₁² + L₂²

d² = 25² + 25²

d² = 625 + 625

d² = 1250

Take the square root of both side

d = √1250

d = 35 ft

B. Determination of the diagonal using trigonometry.

Since all the sides in a square are equal, the angle between each leg will be 90°. Thus, the diagonal will bisect the angle between the two leg equally i.e

Angle between Diagonal and each leg = 90/2 = 45°

Finally, we shall determine the length of the diagonal. This can be obtained as follow:

Angle θ = 45°

Opposite = 25 ft

Hypothenus = d

Sine θ = Opposite / Hypothenus

Sine 45 = 25 / d

0.7071 = 25 / d

Cross multiply

0.7071 × d = 25

Divide both side by 0.7071

d = 25 / 0.7071

d = 35 ft

6 0
3 years ago
Simplify the complex fraction.<br> Simplify.<br> 5<br> 9<br> 4<br> 15
Sedaia [141]

Answer:

im confused?

Step-by-step explanation:

could you please rewrite this question? what are the numbers for?

5 0
2 years ago
tonya earned $5.00 she put half of the money into savings and kept the rest to spend.she bought a toy for $2.00.how much spendin
nalin [4]

Answer:

50 cents

Step-by-step explanation:

half of 5.00$ is 2.50$

6 0
3 years ago
How to write a real world problem involving the subtraction of two mixed numbers whose difference is less than 2 1/2
madreJ [45]
You can do 2 1/2 minus 1 1/8 to get 1 3/8. Your welcome and I hope you get a good grade
7 0
3 years ago
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