A) 0
B) -1
C) 1
D) none of these
Correct Answer: C
Solution :
[c] From the given equation \[{{\sin }^{2}}\theta -2\sin \theta +3={{5}^{{{\sec }^{2}}y}}+1\], we get \[{{(sin\theta -1)}^{2}}+2={{5}^{{{\sec }^{2}}y}}+1\] \[\text{L}\text{.}H.S.\le 6,R.H.S.\ge 6\] Possible solution is \[\sin \theta =-1\] when L.H.S. = R.H.S. \[\Rightarrow {{\cos }^{2}}\theta =0\] \[\Rightarrow {{\cos }^{2}}\theta -\sin \theta =1\]
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