If 1 cos theta sec theta 1 2 what is the value of cos100 theta sec100 theta ........

Quantitative Aptitude ( CCS) Trignometry

If 1/(cos θ + sec θ) = 1/2 , what is the value of cos¹⁰⁰ θ + sec¹⁰⁰ θ

1/(cos θ + sec θ) = 1/2
Cos θ + sec θ =2
Cos²θ +1=2 cos θ
(cos θ-1)²=0
(cos θ -1)=0
Cos θ =1=sec θ
cos¹⁰⁰ θ + sec¹⁰⁰ θ
=1+1=2

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