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Mathematics
Mathematics
Problem
Evaluate the following expressions without using a calculator. a. (i)
P
=
sin
(
90
∘
−
28
∘
)
+
cos
(
90
∘
−
62
∘
)
P = \sin(90^\circ - 28^\circ) + \cos(90^\circ - 62^\circ)
P
=
sin
(
9
0
∘
−
2
8
∘
)
+
cos
(
9
0
∘
−
6
2
∘
)
. b. (ii)
Q
=
tan
(
90
∘
−
45
∘
)
×
sin
(
30
∘
)
Q = \tan(90^\circ - 45^\circ) \times \sin(30^\circ)
Q
=
tan
(
9
0
∘
−
4
5
∘
)
×
sin
(
3
0
∘
)
. c. (iii) Hence find the product
P
×
Q
P \times Q
P
×
Q
.
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