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.
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