MATHEMATICS HIGH SCHOOL

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

Answers

Answer 1

Answer:

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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Simplify.27 ÷ (–9 – (–6 ))

A.
9

B.
3

C.

–3

D.

–9

Answers

So,

$(27)/(-9 - (-6))$

Simplify the innermost numbers first.
$(27)/(-9 + 6)$
$(27)/(-3)$

Simplify.
$(-9)/(1) \ or\ -9$

$27/[-9-(-6)]=27/(-9+6)=27/(-3)=\boxed{\boxed{-9}}\leftarrow the\ answer$

An airplane leaves an airport and flies due west 170 miles and then 240 miles in the direction S 69.50°W. How far is the plane from the airport (round to the nearest mile)?.

Answers

We will use the Cosine Law:
c² = a² + b² - 2 a b cos C
∠ C = 90° + 69.50° = 159.50°
c² = 170² + 240² - 2 · 170 · 240 · cos ( 159.50° )
c² = 28,900 + 57,600 - 81,600 · ( -0.9366722 )
c² = 28,900 + 57,600 + 76,432.45
c = √ 162,932.45
c = 403.64 ≈ 404 miles
Answer:
The plane is 404 miles away from the airport.

Answer:

C=403.6489

Step-by-step explanation:

A= 170, B= 240 angle C= 69.5+90=159.5

C= the distance from the plane to the airport.

If the theoretical probability of a event occurring is 5/7 what is the theoretical probability of the event not occurring

Answers

2/7 chance it not happening

What’s the correct answer for this?

Answers

Answer:

Step-by-step explanation:

Look at |IH| as a clock arrow, it goes clockwise and the triangle is smaller so you have to dilate it by 2/3 because the G'H'I' is smaller

Please help I'm so confused rn so please helppp!!!!!
look at the screenshot

Answers

There is no picture attached I can’t see the screenshot

Answer:

there's no screenshot attached

1) A circle has a circumference of 121 yd. What is the diameter of the circle? a) 12 yd b) 6 yd c) 18 yd

Answers

Answer:

i think its 6

Step-by-step explanation:

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