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Lesson: Trigonometric Ratios and the Unit Circle

In this lesson, we will learn how to use the fact that the quadrant where an angle lies determines the signs of its sine, cosine, and tangent and solve trigonometric equations.

Question Video: Determining the Quadrant in Which an Angle Lies given Two of Its Trigonometric Ratios

01:60

Worksheet: Trigonometric Ratios and the Unit Circle • 20 Questions

Q1:

In which quadrant does lie if and ?

  • A the first
  • B the second
  • C the fourth
  • D the third

Q2:

In which quadrant does lie if and ?

  • A the second
  • B the first
  • C the fourth
  • D the third

Q3:

In which quadrant does lie if and ?

  • A the third
  • B the second
  • C the fourth
  • D the first

Q4:

In which quadrant does lie if and ?

  • A the first
  • B the second
  • C the fourth
  • D the third

Q5:

In which quadrant does lie if and ?

  • Afirst
  • Bsecond
  • Cfourth
  • Dthird

Q6:

In which quadrant does lie if and ?

  • Afirst
  • Bsecond
  • Cfourth
  • Dthird

Q7:

In which quadrant does lie if and ?

  • Asecond
  • Bfirst
  • Cfourth
  • Dthird

Q8:

In which quadrant does lie if and ?

  • Afourth
  • Bfirst
  • Cthird
  • Dsecond

Q9:

Is positive or negative?

  • Anegative
  • Bpositive

Q10:

Is positive or negative?

  • Anegative
  • Bpositive

Q11:

Is positive or negative?

  • Anegative
  • Bpositive

Q12:

Is positive or negative?

  • Apositive
  • Bnegative

Q13:

Determine the quadrant in which lies if and .

  • Athe first quadrant
  • Bthe second quadrant
  • Cthe fourth quadrant
  • Dthe third quadrant

Q14:

Determine the quadrant in which lies if and .

  • Athe second quadrant
  • Bthe first quadrant
  • Cthe fourth quadrant
  • Dthe third quadrant

Q15:

Find given and .

  • A
  • B0
  • C
  • D
  • E

Q16:

Find given and .

  • A
  • B
  • C
  • D

Q17:

Find given and .

  • A
  • B
  • C
  • D
  • E

Q18:

Find given and .

  • A0
  • B
  • C
  • D

Q19:

Find given and .

  • A
  • B
  • C
  • D
  • E

Q20:

Find given and .

  • A
  • B
  • C
  • D
  • E
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