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Byju's Answer
Standard X
Mathematics
Standard Values of Trigonometric Ratios
Tan a +sec a ...
Question
Tan a +sec a -1/tan a -sec a +1=1+sin a /cos a
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Q.
Prove:
tan
A
+
sec
A
−
1
tan
A
−
sec
A
+
1
=
1
+
sin
A
cos
A
=
sec
A
+
tan
A
Q
=
cos
A
1
−
sin
A
?
Q.
Prave that:
(1)
sin
2
θ
cosθ
+
cosθ
=
secθ
(2)
cos
2
θ
1
+
tan
2
θ
=
1
(3)
1
-
sinθ
1
+
sinθ
=
secθ
-
tanθ
(4)
secθ
-
cosθ
cotθ
+
tanθ
=
tanθ
secθ
(5)
cotθ
+
tanθ
=
cosecθ
secθ
(6)
1
secθ
-
tanθ
=
secθ
+
tanθ
(7)
sec
4
θ
-
cos
4
θ
=
1
-
2
cos
2
θ
(8)
secθ
+
tanθ
=
cos
θ
1
-
sinθ
(9) If
t
anθ
+
1
tanθ
=
2
, then show that
tan
2
θ
+
1
tan
2
θ
=
2
(10)
tanA
1
+
tan
2
A
2
+
cotA
1
+
cot
2
A
2
=
sin
A
cos
A
(11)
sec
4
A
1
-
sin
4
A
-
2
tan
2
A
=
1
(12)
tanθ
secθ
-
1
=
tanθ
+
secθ
+
1
tanθ
+
secθ
-
1
Q.
Prove that tanA+secA-1/tanA-secA+1=1+sinA/cosA
Q.
tan
A
+
sec
A
−
1
tan
A
−
sec
A
+
1
=
1
+
sin
A
cos
A
.
Q.
Prove that:
tan
A
+
sec
A
−
1
tan
A
−
sec
A
+
1
=
1
+
sin
A
cos
A
.
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