Solve the equation tan x + cot x = 2
Answers
Answered by
2
Step-by-step explanation:
cotx= 1/ tanx
tanx+ 1/ tanx= 2
tan^2x+1= 2 tanx
tan^2x-2tanx+1=0
(tanx-1)^2=0
tanx-1=0
tanx= 1
tanx= tan 45
x= 45 degrees
Answered by
1
(tanx+cotx)^2=tan^2x+cot^2x +2tanxcotx
2^2=tan^2x +cot^2x +2.
tan^2+cot^2x =2.
2^2=tan^2x +cot^2x +2.
tan^2+cot^2x =2.
Similar questions