Question

The value of `cot((pi)/(4)+theta)cot((pi)/(4)-theta)` is
A. -1
B. 0
C. 1
D. Not defined

Answer 1

Correct Answer - C
Given expression, `" "cot((pi)/(4)+theta)-cot((pi)/(4)-theta)`
`" "=((cot""(pi)/(4)cottheta-1)/(cot""(pi)/(4)+cottheta))*((cot""(pi)/(4)cottheta+1)/(cottheta-cot""(pi)/(4)))`
` " " =((cottheta-1)/(cottheta+1))*((cottheta+1)/(cottheta-1))`
=1