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If   1 c o s ? + s e c ? = 1 2   \ \frac{1}{cos\theta+sec\theta}=\frac{1}{2}\ , then what is the value of   c o s 1 0 0   ? + s e c 1 0 0   ?   \ cos^{100}\ \theta+sec^{100}\ \theta\ ?

[SSC CPO 3 July 2017 Afternoon Shift With Answers]
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