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Question

# Suppose that θ is a number and 0 < θ < 90∘. Consider the following statements and select the correct choice:I : sec (θ∘) < 1 ; II : sec (θ∘) = 1 ; III : sec (θ∘) > 1 ;

A
Only I is possible
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B
All are possible
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C
Only III is possible
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D
Only I is impossible
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Solution

## The correct option is C Only III is possibleAs the value of secθ is always greater than one for 0°<θ<90°. sec00=1,sec300=2√3,sec450=√2,sec600=2,sec900=∞,Hence one III statement is possible i.e, sec(θ)>1.Hence, the answer is an option C.

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