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Byju's Answer
Standard XII
Mathematics
Determinant
Evaluate the ...
Question
Evaluate the determinant :
∣
∣
∣
cos
θ
−
sin
θ
sin
θ
cos
θ
∣
∣
∣
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Solution
∣
∣
∣
cos
θ
−
sin
θ
sin
θ
cos
θ
∣
∣
∣
Expanding the determinant, we get
cos
2
θ
−
(
−
sin
2
θ
)
cos
2
θ
+
sin
2
θ
=
1
..............
∵
cos
2
θ
+
sin
2
θ
=
1
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