Equations of Trigonometric Functions

Which of these equations has the same solutions as csc x = 2?

• cos x = 2

• cos x = ½

• sin x = 2

• sin x = ½

Why does the equation sin x = 2 not have a solution?

• The sine function is never larger than 1

• Trig equations can never equal 2

Which of these equations has no solutions?

• sec x = 4

• sec x = ¼

• sec x = 3

• sec x = 2

On the domain [0, 2π), where does cos x = -1?

• 0

• ½π

• π

• ¾π

On the domain [0, 2π), where does sin x = 1?

• 0

• ½π

• π

• ¾π

Which is a correct equation for the graph shown?

Which is a correct equation for the graph shown?

The function f(x) = acos bx + c is plotted on the graph shown below.

What are the values of a, b, and c?

• a = 2, b = 6, c = 3

• a = 2, b = 3, c = 1

• a = 4, b = 6, c = 5

Which equation is represented by the graph shown below?

The periodic graph below can be represented by the trigonometric equation y = a cos bx + c where a, b, and c are real numbers.

• a = –3, b = 3, c = 1

• a = 3, b = 2, c = –1

• a = 3, b = 2, c = 1

• a = –3, b = 2, c = 1