Answer:
Step-by-step explanation:
We want to solve the equation:
In the interval [0, 2π).
Notice that this is in quadratic form. Namely, by letting u = sin(θ), we acquire:
Factor:
By the Zero Product Property:
Solve for each case:
Back-substitute:
Use the Unit Circle. Hence, our three solutions in the interval [0, 2π) are:
Answer: x = (2 y)/5 - 6/5 , y = (5 x)/2 + 3
Solve for x:
2 y - 5 x = 6
Subtract 2 y from both sides:
-5 x = 6 - 2 y
Divide both sides by -5:
Answer: x = (2 y)/5 - 6/5
Solve for y:
2 y - 5 x = 6
Add 5 x to both sides:
2 y = 5 x + 6
Divide both sides by 2:
Answer: y = (5 x)/2 + 3
Answer:
the first problem has infinite solutions, the second has one, and the third also has infinite solutions!
C I think I hope it helps