in a triangle ABC we have { ((3sinA^� +4cosB^� =6)),((4sinB^� +3cosA^� =1)) :} find C^�


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Question Number 146048 by ArielVyny last updated on 10/Jul/21
$in a triangle ABC we have { ((3sinA^� +4cosB^� =6)),((4sinB^� +3cosA^� =1)) :} find C^�$
$i n a t r i a n g l e A B C w e h a v e$ ${\begin{cases} 3 s i n \hat{A} + 4 c o s \hat{B} = 6 \\ 4 s i n \hat{B} + 3 c o s \hat{A} = 1 \end{cases}$ $f i n d \hat{C}$
	Answered by gsk2684 last updated on 10/Jul/21

	$s q u a r i n g a n d a d d i n g t o g e t$ $25 + 24 \sin (A + B) = 37$ $\sin (180^{0} - C) = \frac{12}{24}$ $\sin C = \frac{1}{2} \Rightarrow C = \frac{Π}{6}$
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