How do you solve 2sinxsecx=secx and find all solutions in the interval 0<=x<360?

1 Answer
Alan P.
Oct 3, 2016

x in {30^@, 90^@, 150^@,270^@}

Explanation:

Given
color(white)("XXX")2 sin(x)sec(x)=sec(x)
rArr
color(white)("XXX"){: (sec(x)=0,color(white)("X")orcolor(white)("X"),2sin(x)=1), (rarr x=90^@ or 270^@,,rarrsin(x)=1/2), (,,rarrx=30^@ or 150^@) :}

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