michaelsjenney2008 michaelsjenney2008
  • 11-02-2022
  • Mathematics
contestada

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

Respuesta :

evgeniylevi
evgeniylevi evgeniylevi
  • 11-02-2022

Answer:

[tex]^+_-\frac{\sqrt{7}}{2}.[/tex]

Step-by-step explanation:

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

2) according to the item 1:

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

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