Questions on Using Symmetry of Unit Circles in Trigonometry

Multiple choice questions on using the symmetry of the unit circle in trigonometry with answers at the bottom of the page.

Questions and their Answers

Question 1

If 0 < t < π / 2 and sin t = 0.35, then cos(t + π) =?
a) 0.94
b) -0.94
c) 0.81
d) -0.81

Question 2

If tan(t) = 13, then cot(-t) =?
a) 13
b) 1 / 13
c) - 1 / 13
d) - 13

Question 3

cos(x) + cos(π - x) =?
a) 2 cos(x)
b) cos(x) - sin(x)
c) cos(x) + sin(x)
d) 0

Question 4

If 0 < t < π/2 and sin t = 0.65, what is sin(t + π) ?

a) -0.65
b) 0.65
c) 0.35
d) 0.76

Question 5

If cos(-t) = 0.34, what is cos(t) ?
a) -0.34
b) 0.66
c) 0.34
d) - 0.66

Question 6

If sin(-t) = 0.54, what is - sin(t) ?
a) 0.54
b) -0.54
c) - 0.46
d) 0.46

Question 7

Which of the following is not the same as tan(t)?
a) - tan(-t)
b) tan(t + 2π)
c) tan(t + π)
d) tan(t + π / 2)

Question 8

Which of the following is not correct?
a) sin(x) = -sin(-x)
b) sec(-t) = sec(t)
c) sin(π + x) = sin(x)
d) cos(π - x) = -cos(x)

Answers

  1. b)
  2. c)
  3. d)
  4. a)
  5. c)
  6. a)
  7. d)
  8. c)

Links and Referencea

Trigonometry Problems
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