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Math 11 Chapter 12
Application of Trigonometry
Test - 3
1.
Area of triangle in terms of one side and two angles
a) c
3
SinαSinβ/2Sin γ
b) c
2
SinαSinβ/2Sin x
c) c
2
SinαSinβ/2Sin γ
d) c
4
SinαSinβ/2Sin γ
2.
Incentre of an inscribed circle is the point of intersection of the _______
a) of the angles
b) medians.
c) Perpendicular bisectors of the sides.
d) bisectors of the angles
3.
tan (γ - α/2 ) / tan (γ + α/2 )
a) c-a / c-a
b) c+a / c+a
c) c-a / c+a
d) c+a / c-a
4.
Cos γ
a) a
2
+ b
2
+ c
3
/ 2ab
b) a
2
+ b
2
+ c
2
/ 2ab
c) a
3
+ b
2
+ c
2
/ 2ab
d) a
2
- b
2
+ c
2
/ 2ab
5.
In a right angled tringle law of cosine reduces to pythagorus theorem if
a) α =30
o
b) α=90
o
c) a
2
= b
2
+ c
2
,
d) a
2
= b
2
- c
2
6.
In terms of measures of three sides of a triangle Sin γ/2 = _____
a) √ (s-a)(s-b)/ c-b
b) √ (s-a)(s-b)/ a+b
c) √ (s-a)(s-b)/ a-c
d) √ (s-a)(s-b)/ a-b
7.
The circle passing through the vertices of a triangle is called?
a) semicircle
b) overcircle
c) circumcircle
d) undercircle
8.
The expression b-a / b+c = tan
β - γ / 2
/ tan
β + γ / 2
is called Law of __________.
a) trangent
b) tangent
c) angles
d) rectangle
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