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AP EAPCET 19-Aug-2021 Shift 1 Paper
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© examsnet.com
Question : 10
Total: 160
(
sin
θ
−
i
cos
θ
)
3
is equal to
i
3
(
cos
3
θ
+
i
sin
3
θ
)
cos
3
θ
+
i
sin
3
θ
sin
3
θ
−
i
cos
3
θ
(
−
i
)
3
(
cos
3
θ
+
i
sin
3
θ
)
Validate
Solution:
(
sin
θ
−
i
cos
θ
)
3
=
(
−
i
)
3
(
cos
θ
+
i
sin
θ
)
3
=
(
−
i
)
3
(
cos
3
θ
+
i
sin
3
θ
)
[by De-Moivre theorem]
© examsnet.com
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