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0 votes
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in Trigonometry by (35.6k points)
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 Sin 18° = Cos x, then x = 

A) 73° 

B) 37° 

C) 72° 

D) 84°

2 Answers

+1 vote
by (66.4k points)
selected by
 
Best answer

Correct option is: C) 72°

Given that

sin \(18^\circ\) = cos x

= sin \(18^\circ\) = sin (\(90^\circ\) - x) (\(\because\) sin  (\(90^\circ\) - \(\theta\)) = cos \(\theta\))

\(18^\circ\) = \(90^\circ\) - x

= x = \(90^\circ\) - \(18^\circ\) = \(72^\circ\)

+1 vote
by (34.5k points)

Correct option is: C) 72°

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