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saveliy_v [14]
3 years ago
10

Find sinx+cosx if sinx*cosx=3/8

Mathematics
1 answer:
Maurinko [17]3 years ago
5 0

Answer:

^+_-\frac{\sqrt{7}}{2}.

Step-by-step explanation:

1.| \ sinx+cosx| =\sqrt{(sinx+cosx)^2}=\sqrt{sin^2x+2sinxcosx+cos^2x}=\sqrt{1+2sinxcosx};

2) according to the item 1:

sinx+cosx=^+_-\sqrt{1+2*\frac{3}{8}} =^+_-\sqrt{\frac{7}{4}}=^+_-\frac{\sqrt{7} }{2}.

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