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ivanzaharov [21]
3 years ago
7

Based on Pythagorean identities, which Equation is true?

Mathematics
2 answers:
Pavel [41]3 years ago
8 0
The answer is cot² ∅ - csc² ∅ = -1

Referring to Pythagorean identities: 
sin² ∅ + cos² ∅ = 1
1+cot² ∅ = csc² ∅
tan² ∅ + 1 = sec² ∅

1+cot² ∅ = csc² ∅  
⇒ transposing 1 and csc² ∅ we will have now
cot² ∅ - csc² ∅ = -1
lara [203]3 years ago
4 0

Answer: The answer is D.


Step-by-step explanation:


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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
nasty-shy [4]

Answer:

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Step-by-step explanation:

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3 years ago
Traveling with the wind, Jerry takes 10 minutes to bicycle to a local library 2.5 km away. Coming back against the wind, it take
olganol [36]

7.5 km/h

Step-by-step explanation:

Let's assign the speed of Jerry in still air as <em>x </em> (in km/h)

Let's assign the speed of the wind as <em>y </em>(in km/h)

With the wind as Jerry’s back, he takes 10 minutes to get to the library. We can create the following equation. (<em>we are converting the minutes to hours by dividing by 60</em>);

2.5 / (x + y) = 10/60

10x + 10y = 150

x + y = 15

With the wind against Jerry, he takes 15 minutes from the library. We can create the following equation;

2.5 / (x-y) = 15/60

15x – 15y = 150

x – y = 10

We can now solve the simultaneous equation by subtraction;

x + y = 15

x – y = 10

2y = 5

y = 5/2 = 2.5

y = 2.5 km/h

x = 7.5 km/h

Learn More:

brainly.com/question/8046928

#LearnWithBrainly

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4 years ago
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