Question

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

Answer 1

`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^@) :}#