Question

if, sin A+sin B=2. then cos A +cos B=?​

Answer 1

$\huge\mathfrak\red{Answer}$

TRIGONOMETRY

WHEN I AM STUDYING TRIGONOMETRY FOR THE FIRST TIME THAT I HAD A QUESTION THAT WHY DO WE NEED TRIGONOMETRY AND WHAT IS IT ACTUALLY.

TRIGONOMETRY. IS GENERALLY A BASIC REQUIREMENTS FOR CONSTRUCT A TRIANGLE IN EARLIES DAYS WE NEED ALL THE THREE SIDES TO CONSTRUCT A TRIANGLE SO IN ORDER TO REDUCE REQUIREMENTS TO CONSTRUCT A TRIANGLE WE NEED SOME RELATION BETWEEN SIDES AND ANGLE OF A TRIANGLE WHICH WE GET THROUGH TRIGONOMETRY

MAXIMUM VALUES

WHEN YOU GO THROUGH TRIGONOMETRY THAN YOU GOT A IDEA ABOUT MAXIMUM VALUES OF SOME FUNCTION LIKE

$\sin( \alpha ) + \sin( \beta ) \\ \\ \alpha \: and \: \beta \: are \: two \: different \: angles \\ so \: the \: maximum \: value \: of \: \sin( \alpha ) + \sin( \beta ) \\ is \: 2 \: because \: max \: value \: of \: this \: \\ function \: is \: only \: when \: the \: sine \: \\ gave \: its \: max \: value \\ means \\ \alpha = \frac{\pi}{2} \: and \: \beta = \frac{\pi}{2} \\ \\ so \: value \: of \: \\ \cos( \alpha ) + \cos( \beta ) = \cos( \frac{\pi}{2} ) + \cos( \frac{\pi}{2} ) \\ \cos( \alpha ) + \cos( \beta ) = 0 + 0 \\ \\ \cos( \alpha ) + \cos( \beta ) = 0$