Trigonometric Functions in Quadrant Two

The video tutorial explains how to find trigonometric function values when sine theta equals two-fifths and theta is in the second quadrant. It begins by sketching a reference triangle and using the Pythagorean theorem to find the x-value. The tutorial then calculates the sine, cosine, tangent, and their reciprocal functions. Finally, it demonstrates how to rationalize the denominators of the tangent and secant functions.

If sine theta is two-fifths and theta is in quadrant two, what is the value of cosecant theta?

• 5/2

• 2/5

• -5/2

• -2/5

In which quadrant is the x-coordinate negative?

• Quadrant I

• Quadrant III

• Quadrant II

• Quadrant IV

What is the value of x if y is 2 and r is 5 in the reference triangle?

• -√21

• √21

• √29

• -√29

What is the cosine of theta if x is -√21 and r is 5?

• -5/√21

• √21/5

• 5/√21

• -√21/5

What is the secant of theta if cosine theta is -√21/5?

• -√21/5

• √21/5

• 5/√21

• -5/√21

What is the tangent of theta if y is 2 and x is -√21?

• -√21/2

• -2/√21

• 2/√21

• √21/2

What is the cotangent of theta if tangent theta is -2/√21?

• -√21/2

• √21/2

• -2/√21

• 2/√21

How do you rationalize the denominator of -2/√21?

• Multiply by √21/√21

• Multiply by 21/21

• Multiply by 5/5

• Multiply by 2/2

What is the rationalized form of -2/√21?

• -2√21/21

• 2√21/21

• -21/2√21

• 21/2√21

What is the rationalized form of -5/√21?

• -21/5√21

• 21/5√21

• 5√21/21

• -5√21/21