Trigonometry Quiz

The questions are based on the figure below: 

Record your answers

1.) The area of the triangle is given by ... 

A   \(A = ½ (a+b)c \)
B   \(A = ½ a · b \)
C   \(A = ½ a · c \)
D   \(A = a2 + b2 - c2 \)

2.) Which expression is wrong: 

A   \(c2 = a2 + b2 \)
B   \(c2 - a2 = b2\)  
C   \(b2 - c2 = a2 \)
D   \(b2 - a2 + 2a2 = c2\)  

3.) Which expression regarding the values of the angles is right: 

A   \(α + β < 90^\circ\) 
B   \(α + β > 90^\circ\) 
C   \(180^\circ + (α + β) = 360^\circ\) 
D   \(180^\circ - α = 90^\circ + β\) 

4.) If the length of side c is 13 cm, the length of side a is 5 cm, what will be the length of side b? 

A   7 cm 
B   8 cm 
C   12 cm 
D   18 cm 

5.) Which expression is correct? 

A   \(\sin β = c/b\) 
B   \(\sin β = b/a \)
C   \(\sin α = b/c\) 
D   \(\sin α = a/c \)

6.) Spot the mistake: 

A   \(\sin β = b/a\) 
B   \(\sin α = a/c \)
C   \(\cos β = a/c\) 
D   \(\cos α = b/c\) 

7.) Identify the wrong expression: 

A   \(a = c · \sin α \) 
B   \(a = c · \cos α\)  
C   \(b = c · \sin β\)  
D   \(a = c · \cos β \) 

8.) The tan of angle \(β\) is given by ... 

A   \(\tan β = b/a\) 
B   \(\tan β = a/b\) 
C   \(\tan β = b/c \)
D   \(\tan β = a/c\) 

9.) The sin of \(30^\circ\) is ... 

A   1 
B   2/3  
C   1/2 
D   1/4  

10.) The cos of \(60^\circ\) is the same as ... 

A   \(\tan 45^\circ\)  
B   \(\tan 60^\circ\)  
C   \(\sin 30^\circ\) 
D   \(\sin 60^\circ\)