If 0 lt lt 90o 0 lt lt 90o and cos lt cos then which one of the following is correct ........

Quantitative Aptitude (CDS) Trignometry

If 0< $\small \theta$ <90^o , 0< $\small \phi$ <90^o and cos $\small \theta$ < cos $\small \phi$ , then which one of the following is correct?

$\small \theta<\phi$

$\small \theta>\phi$

$\small \theta+\phi=90^{o}$

No conclusion can be drawn

As cos $\small \theta$ < cos $\small \phi$ and both

$\theta \: and\: \phi \: are\: between\: 0\: and \: 90^{o}$

as $\small \theta$ increases , cos $\small \theta$ decreases.

Hence $\small \theta$ > $\phi$

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