Solving Trigonometric Equations in 32 Seconds

What is the general form of a quadratic trigonometric equation?

• ax^2 + bx + c = 0

• ax + b = 0

• tan(x) = n

• sin(x) = n

Which trigonometric function was primarily discussed in the first example?

• Cosine

• Secant

• Tangent

• Sine

In which quadrants is the tangent positive?

• I and III

• II and III

• III and IV

• I and II

How do you find the angle for a tangent of 1/3 using a calculator?

• tan^{-1}(1/3)

• cos^{-1}(1/3)

• sin^{-1}(1/3)

• sec^{-1}(1/3)

What must be done before setting factors equal to zero in a trigonometric equation?

• Ensure the equation is factored completely

• Set the equation equal to a non-zero number

• Convert all terms to the same trigonometric function

• Multiply each term by the leading coefficient

What is the reciprocal trigonometric function of secant?

• Tangent

• Sine

• Cosine

• Cosecant

Which operation is used to find the angle for secant 3/2 using a calculator?

• cos^{-1}(2/3)

• sin^{-1}(2/3)

• sec^{-1}(3/2)

• tan^{-1}(2/3)

Which quadrant is not possible for a positive cosine value?

• Quadrant II

• Quadrant I

• Quadrant III

• Quadrant IV

What Pythagorean identity is used to convert secant squared?

• sin^2(x) + cos^2(x) = 1

• 1 + tan^2(x) = sec^2(x)

• 1 + cot^2(x) = csc^2(x)

• sec^2(x) - tan^2(x) = 1

What is the angle measure for tangent equals three found using a calculator?

• 252 degrees

• 198 degrees

• 18 degrees

• 72 degrees