The sides of a triangle are sin alpha,cos alpha and sqrt(1+sin -Turito

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The sides of a triangle are $sin invisible function application alpha comma cos invisible function application alpha text and end text square root of 1 plus sin invisible function application alpha cos invisible function application alpha end root text for some end text 0 less than alpha less than pi over 2$ Then the greatest angle of the triangle is [AIEEE 2014]

$60^{\circ}$
$150^{\circ}$
$120^{\circ}$
$90^{\circ}$

The correct answer is: $120 to the power of ring operator$

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