sec=sqrt(2) to cos=sqrt(2)/2? how does that work I understand how 1/cos=sec but how did my teacher get that answer for cos?
+23254 sec(x) = sqrt(2)
Since sec(x) = 1/cos(x) ---> 1/cos(x) = sqrt(2)
Multiply both sides by cos(x) ---> 1 = sqrt(2) x cos(x)
Divide both sides by cos(x) ---> 1/sqrt(2) = cos(x)
Since cos(x) = 1/sqrt(2) ---> multiply both the numerator and denominator of 1/sqrt(2) by sqrt(2)
---> 1/sqrt(2) x sqrt(2)/sqrt(2) = sqrt(2) / 2
Therefore, cos(x) = 1/sqrt(2) = sqrt(2)/2.
