Question

For how many different values of θ between 0 and 2π radians is sec x = csc x ?

Answer 1

okay,let's simplify that.if secx=cscx,it will be also true that cosx=sinx.

in first quadrant,
`\pi`/4 could be an answer
in second quadrant,sin is positive but cos is negative.so,there is NO such angle
in third quadrant,(
`\pi`+
`\pi`/4) is a answer(where both of them are negative)
in fourth quadrant,cos is positive but sin negative...so there isnt any angle.

`\pi /4, 5 \pi /4` are the answers