There is no solution to the equation cscx=0. True or False
2 answers:
Answer:
True
Step-by-step explanation:
First, we need to recognize that
Now, we can try to solve
Multiply each side by
As we end up with an answer that cannot be true, we know that there is no solution.
Another method to solve this would be graphing the function
When graphed, it can be seen that there is an asymptote at x=0 meaning that there is no value for x=0.
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Consider the function, 
When x = 4,
Thus, point (4, 10) does not lie on the graph of the function.
Consider the function, y = 3x + 2
when x = 4, y = 3(4) + 2 = 12 + 2 = 14
Thus, point (4, 10) does not lie on the graph of the function.
Consider the function, y = 3x - 2
When x = 4, y = 3(4) - 2 = 12 - 2 = 10
Thus, point (4, 10) lie on the graph of the function.
When x = 5, y = 3(5) - 2 = 15 - 2 = 13
Thus, point (5, 13) lie on the graph of the function.
When x = -2, y = 3(-2) - 2 = -6 - 2 = -8
Thus, point (-2, -8) lie on the graph of the function.
Therefore, the rule that can represent the function is y = 3x - 2.
When x = 4,
Thus, point (4, 10) does not lie on the graph of the function.
Consider the function, y = 3x + 2
when x = 4, y = 3(4) + 2 = 12 + 2 = 14
Thus, point (4, 10) does not lie on the graph of the function.
Consider the function, y = 3x - 2
When x = 4, y = 3(4) - 2 = 12 - 2 = 10
Thus, point (4, 10) lie on the graph of the function.
When x = 5, y = 3(5) - 2 = 15 - 2 = 13
Thus, point (5, 13) lie on the graph of the function.
When x = -2, y = 3(-2) - 2 = -6 - 2 = -8
Thus, point (-2, -8) lie on the graph of the function.
Therefore, the rule that can represent the function is y = 3x - 2.