Trigonometric Equations Quiz

What is the first step in solving a trigonometric equation where the input is a multiple of theta?

• Isolate the unknown quantity

• Subtract a constant from both sides

• Multiply both sides by the angle multiple

• Add a constant to both sides

When solving for angles where cosine equals one-half, what are the initial solutions for three times theta?

• Pi over 6 and 5 pi over 6

• Pi over 4 and 3 pi over 4

• Pi over 2 and 3 pi over 2

• Pi over 3 and 5 pi over 3

How do you generalize solutions for trigonometric equations with a multiple angle?

• Multiply each solution by the angle multiple

• Add 2n pi over the angle multiple to each solution

• Subtract 2n pi radians from each solution

• Add 2n pi radians to each solution

Which identity is used to rewrite secant squared in terms of a single function?

• Pythagorean identity

• Reciprocal identity

• Quotient identity

• Even-odd identity

What is the general solution for an equation involving the tangent function?

• Add n pi to each solution

• Subtract n pi from each solution

• Multiply each solution by n pi

• Add 2n pi to each solution