SOLUTION: Show that the equation below is NOT an identity. <font face="symbol">Ö</font><span style="text-decoration: overline">sinē(<font face="symbol">q</font>) + cosē(<font face="symbol

Algebra ->  Trigonometry-basics -> SOLUTION: Show that the equation below is NOT an identity. <font face="symbol">Ö</font><span style="text-decoration: overline">sinē(<font face="symbol">q</font>) + cosē(<font face="symbol      Log On


   

Question 661761: Show that the equation below is NOT an identity.
Ösinē(q) + cosē(q) = sin(q) + cos(q)
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Ösinē(q) + cosē(q) = sin(q) + cos(q) 

To show that an equation is NOT an identity, you only need to 
show one case where the equation is NOT true.

Let's pick q = 30°

Ösinē(30°) + cosē(30°) = sin(30°) + cos(30°)

sqrt%28%281%2F2%29%5E2%2B%28sqrt%283%29%2F2%29%5E2%29 = 1%2F2 + sqrt%283%29%2F2

sqrt%281%2F4%2B3%2F4%29 = 1%2F2 + sqrt%283%29%2F2

    sqrt%281%29 = 1%2F2 + sqrt%283%29%2F2

     1 = 1.366025404

That is certainly false.

Edwin