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sin x cos x = -cos x
Find all angles that satisfy the equation below

Sin X Cos X Cos X Find All Angles That Satisfy The Equation Below class=

Sagot :

Answer:

[tex]x=90^\circ,270^\circ[/tex]

Step-by-step explanation:

[tex]sinxcosx=-cosx[/tex]

[tex]sinxcosx+cosx=0[/tex]

[tex]cosx(sinx+1)=0[/tex]

[tex]cosx=0[/tex]

[tex]x=90,270[/tex]

[tex]sinx+1=0[/tex]

[tex]sinx=-1[/tex]

[tex]x=270[/tex]

Therefore, the angles that satisfy the equation are [tex]x=90^\circ,270^\circ[/tex]

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