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KEAM 2018 Math Paper
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© examsnet.com
Question : 1
Total: 120
The value of
2
(
c
o
s
75
°
+
i
s
i
n
75
°
)
0.29
(
c
o
s
30
°
+
i
s
i
n
30
°
)
is
5
√
2
(
1
+
i
)
10
√
2
(
1
+
i
)
10
√
2
(
1
−
i
)
5
√
2
(
1
−
i
)
1
√
2
(
1
+
i
)
Validate
Solution:
2
(
cos
75
∘
+
i
sin
75
∘
)
0.2
(
cos
30
∘
i
sin
30
∘
)
=
2
⋅
e
i
75
∘
0.2
⋅
e
i
30
∘
(
∵
cos
θ
+
i
sin
θ
=
e
i
θ
)
=
10
⋅
e
i
75
∘
⋅
e
−
i
30
∘
=
10
⋅
e
i
45
∘
=
10
(
cos
45
∘
+
i
sin
45
∘
)
(
e
i
0
=
cos
θ
+
i
sin
θ
)
=
10
(
1
√
2
+
i
1
√
2
)
=
10
√
2
(
1
+
i
)
© examsnet.com
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