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Need math help please. Match the y-coordinates with their corresponding pairs of x-coordinates on the unit circle.

Need math help please. Match the y-coordinates with their corresponding pairs of x-example-1
User Sconibulus
by
6.7k points

2 Answers

1 vote

Answer:

No. 1 of tiles goes to No. 3 of pairs

No. 2 of tiles goes to No. 4 of pairs

No. 3 of tiles goes to No. 2 of pairs

No. 4 of tiles goes to No. 1 of pairs

Explanation:

User Pradumna Patil
by
7.2k points
4 votes

Answer:

No. 1 of tiles goes to No. 3 of pairs

No. 2 of tiles goes to No. 4 of pairs

No. 3 of tiles goes to No. 2 of pairs

No. 4 of tiles goes to No. 1 of pairs

Explanation:

We are given the y co-ordinates in the box named 'TILES' and have to match the corresponding x co-ordinates from the box named "PAIRS' such that they satisfy the unit circle.

i.e. the pair (x,y) satisfies
x^(2) +y^(2) =1.

Now, we substitute the values of 'x' and 'y' provided in 'TILES' and 'PAIRS' correspondingly in the above equation of the unit circle.

We get that, the following co-ordinates form the pairs for the unit circle.

i.e. x = ±
(2√(10) )/(11) and y =
(9)/(11)

x = ±
(4√(6) )/(11) and y =
(5)/(11)

x = ±
(1)/(√(11)) and y =
(√(110))/(11)

x = ±
(6√(2))/(11) and y =
(7)/(11)

User Charan Kumar
by
7.1k points
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