# 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.

### 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)