Trigonometry

1
Trigonometry

• Paper 2
• Question 5

2
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3
Find angle A?
Right angled triangle
hypotenuse
10 cm
A
5 cm
adjacent
Solution using CAH cosA (5/10) A cos-1
(5/10) 60o
4
Find the length of x?
Right angled triangle
hypotenuse
10 cm
6 cm
x
Solution using Pythagoras 102 x2 62 x v(102
62) v64 8 cm
5
Find the length of x?
Right angled triangle
hypotenuse
4 cm
x
opposite
60o
Solution using SOH sin60o x/4 x 4sin60o 2v3
cm
6
Find the area of the triangle, correct to the
nearest whole number?
Non-right angled triangle
Solution using Area ½(a)(b)sinC Area ½
(9)(8)sin70o 34 cm2
7
If the area off the triangle is 24 cm2 find the
length of side x, correct to 1 decimal place?
Non-right angled triangle
Solution using Area ½(a)(b)sinC 24 ½
(x)(8)sin70o x 2(24)/8sin70o 6.4
8
Find the size of angle A, correct to the nearest
whole number?
Non-right angled triangle
 
9
Find the length of side x, correct to 1 decimal
place?
Non-right angled triangle
50o
 
10
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