Maths / Introduction to Trigonometry / Trigonometric ratios for 45 degrees

QUESTION

For an actue $\dpi{80} \fn_phv \Theta ,sin\: \: \Theta +cos\: \: \Theta$ takes the greatest value when $\dpi{80} \fn_phv \Theta$ is

 OPTIONS A. $\dpi{80} \fn_phv 30^o$ B. $\dpi{80} \fn_phv 45^o$ C. $\dpi{80} \fn_phv 60^o$ D. $\dpi{80} \fn_phv 90^o$
Right Option : B

EXPLANATION
Explain TypeExplanation Content
Text

$sin\;45^0= \frac{1}{\sqrt2}$

$cos\;45^0= \frac{1}{\sqrt2}$$sin45^0 +cos\;45^0= \frac{1}{\sqrt2}+ \frac{1}{\sqrt2}= \frac{2}{\sqrt2}= \sqrt2$

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