Trigonometric Ratios: Sine, Cosine And Tangent Worksheet Page 2

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3.
This question relates to the two triangles below.


2
2
1
3


x
x
1
(i)
(ii)
(a)
Given that triangle (i) is an isosceles triangle, what are the values of the two angles
?
and
(b)
Given that triangle (ii) is an equilateral triangle, what are the values of the angles
and
 and the length x?
(c)
Use the trigonometric ratios to find the values of the following trigonometric ratios,
giving your answers as square roots where appropriate:
sin
45
cos
45
tan
45
,
,
,
sin
30
,
cos
30
,
tan
30
,
sin
60
,
cos
60
,
tan
60
.
 in the following
4.
Calculate the sine, cosine and tangent of the angles
and
Pythagorean Triple triangles giving your answers to 2 decimal places.
20

65



5
13
21
4
29

72
97
12



3
5
(i)
(ii)
(iii)
(iv)
 in
5.
Use the inverse trigonometric functions to find the values of the angles
and
question 4.
This worksheet is one of a series on
mathematics produced by the
Learning Enhancement Team.
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