Problema Solution
Complete the sentence so the result is an identity. Let x be any real number.
1 +__ = csc2x
Answer provided by our tutors
Let A be the such that
1 + A = (csc x)^2
A = (csc x)^2 - 1
csc x = 1/sinx
A = 1/(sinx)^2 - 1
A = (1 - (sinx)^2)/(sinx)^2
A = (cosx/sinx)^2
A = (ctgx)^2
1 + (ctgx)^2 = (cscx)^2
for x = k*pi, where k is integer the identity is not defined.