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Byju's Answer
Standard X
Mathematics
Standard Values of Trigonometric Ratios
Prove that ta...
Question
Prove that tan x + cot x = sec x . Cose x.
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Solution
Dear student,
tan
x
+
c
o
t
x
=
sin
x
cos
x
+
cos
x
sin
x
=
sin
2
x
+
cos
2
x
cos
x
.
sin
x
{
sin
2
x
+
cos
2
x
=
1
}
=
1
cos
x
.
sin
x
{
1
cos
x
=
s
e
c
x
&
1
sin
x
=
cos
e
c
x
}
=
s
e
c
x
.
cos
e
c
x
Regards
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