Prove that cos theta / sec theta - tan theta = 1 + sin theta
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Answered by
2
Answer:
yes it is possible
Step-by-step explanation:
To prove
cossec
x
−
tan
x
=
(
1
+
sin
x
)
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L H S
=
cos
x
(
1
cos
x
)
−
(
sin
x
cos
x
)
as
sec
x
=
1
cos
x
,
tan
x
=
sin
x
cos
x
⇒
cos
x
1
−
sin
x
cos
x
as
cos
x
is the L C M of Denominator.
⇒
cos
2
x
1
−
sin
x
⇒
=
1
−
sin
2
x
1
−
sin
x
as
cos
2
x
=
1
−
sin
2
x
⇒
(
1
+
sin
x
)
⋅
1
−
sin
x
1
−
sin
x
⇒1 + sinx
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