Question

At what values of x does the graph of f(x) = sin x intersect the x-axis?

Answer 1

Answer: I just took the test and got 100%

1: C, all multiples of pi

2: A, y= sin theta

   B, y= cos theta

3: C, y= csc theta

4: E, y= csc theta

   F, y= cot theta

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Answer 2

The values of x do the graph of f(x) = sin x intersect the x-axis is all multiples of π

Given the expression, g(x) = sin x

The point where the graph of g(x) = sin x intersect the x-axis is the point where g(x) is zero as shown:

Substituting g(x) = 0 into the expression;

0 = sin x

sinx = 0

x = arcsin 0

x = 0 degrees

Since sin is also positive in the second quadrant, hence;

x = 180 - theta

x = 180 - 0

x = 180 degrees

Converting to radians

x = π

Hence the values of x do the graph of f(x) = sin x intersect the x-axis is all multiples of π

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