1-tan A
tanA.
Show that
cot A-1
Answers
Answered by
2
tan A / 1- cotA + cotA/1- tanA = 1 + secAsinA
LHS
tanA / 1- cotA + cotA / 1- tanA
= tan^2A / tanA - 1 + 1/ tanA(1 - tanA)
= tan ^2A / tanA-1 - 1 / tanA(tanA-1 )
= tan^3A -1/ tanA(tanA - 1)
=( tanA-1 )( tan^2A + 1 + tanA ) / tanA ( tanA - 1)
= sec^2 + tanA/tanA
= sec^ 2A / tanA + 1
=1 + secAcosecA
LHS
tanA / 1- cotA + cotA / 1- tanA
= tan^2A / tanA - 1 + 1/ tanA(1 - tanA)
= tan ^2A / tanA-1 - 1 / tanA(tanA-1 )
= tan^3A -1/ tanA(tanA - 1)
=( tanA-1 )( tan^2A + 1 + tanA ) / tanA ( tanA - 1)
= sec^2 + tanA/tanA
= sec^ 2A / tanA + 1
=1 + secAcosecA
Answered by
2
Answer:cant understand your question?........
Explanation:
Similar questions