Prove that tanθ (+cosθ /(1+sin θ))= sec θ
Answers
Answered by
0
Answer:
a man pushes a wall and fails to displace it then
Answered by
4
To Prove:
tanθ−secθ+1
tanθ+secθ−1
=
cosθ
1+sinθ
Solution:
L.H.S =
tanθ−secθ+1
tanθ+secθ−1
We can write, sec
2
θ−tan
2
θ=1
=
tanθ−secθ+1
tanθ+secθ−(sec
2
θ−tan
2
θ)
=
tanθ−secθ+1
tanθ+secθ−(secθ−tanθ)(secθ+tanθ)
=
tanθ−secθ+1
(tanθ+secθ){1−(secθ−tanθ)}
=
tanθ−secθ+1
(tanθ+secθ){1−secθ+tanθ}
=tanθ+secθ
=
cosθ
sinθ
+
cosθ
1
=
cosθ
1+sinθ
Similar questions
Biology,
27 days ago
Math,
27 days ago
Math,
27 days ago
Hindi,
1 month ago
Science,
1 month ago
Computer Science,
8 months ago
English,
8 months ago
Accountancy,
8 months ago