SOLUTION: what goes in the blanks the function y=x/tanx is a (blank) function a. even b. odd c. neither odd nor even the function y=secx/x is a (blank) function a. even b. odd

Algebra ->  Functions -> SOLUTION: what goes in the blanks the function y=x/tanx is a (blank) function a. even b. odd c. neither odd nor even the function y=secx/x is a (blank) function a. even b. odd       Log On


   

Question 1170279: what goes in the blanks
the function y=x/tanx is a (blank) function
a. even
b. odd
c. neither odd nor even
the function y=secx/x is a (blank) function
a. even
b. odd
c. neither odd nor even
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

y=x%2Ftan%28x+%29 ...........since 1%2Ftan%28x+%29+=cot%28x%29
y%28x%29=+x%2Acot%28x%29
y%28-x%29+=+-x%2Acot%28-x%29+=+xcot%28x%29+=+y%28x%29
so, y=x%2Ftan%28x%29+is an even function


y=sec%28x%29%2Fx
y%28-x%29+=+-sec%28-x%29%2Fx+=+-sec%28x%29%2Fx+=+-y%28x%29
=> y=sec%28x%29%2Fx is an odd function