Question

The no. Of sol tanx = sec x * cosec x

Answer 1

Given:
tan
x
+
cot
x
=
sec
x
⋅
csc
x
Start on the right hand side, change it to
sin
x
;
cos
x
sin
x
cos
x
+
cos
x
sin
x
=
sec
x
⋅
csc
x
[
sin
x
sin
x
]
⋅
(
sin
x
cos
x
)
+
cos
x
cos
x
⋅
cos
x
sin
x
=
sec
x
⋅
csc
x
sin
2
x
+
cos
2
x
sin
x
⋅
cos
x
=
sec
x
⋅
csc
x
1
sin
x
⋅
cos
x
=
sec
x
⋅
csc
x
(
1
sin
x
)
(
1
cos
x
)
=
sec
x
⋅
csc
x
sec
x
⋅
csc
x
=
sec
x
⋅
csc
x
Prove completed!
*
sin
2
x
+
cos
2
x
=
1
*
1
sin
x
=
csc
x
;
1
cos
x
=
sec
x