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Byju's Answer
Standard XII
Mathematics
Sum of Trigonometric Ratios in Terms of Their Product
tan A + A-1 t...
Question
tan
A
+
sec
A
−
1
tan
A
−
sec
A
+
1
=
1
+
sin
A
cos
A
.
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Solution
We know that
sec
2
A
−
tan
2
A
=
1
;
hence
L
.
H
.
S
.
=
(
tan
A
+
sec
A
)
−
(
sec
2
A
−
tan
2
A
)
tan
A
−
sec
A
+
1
=
(
tan
A
+
sec
A
)
[
1
−
(
sec
A
−
tan
A
)
]
tan
A
−
sec
A
+
1
=
tan
A
+
sec
A
=
sin
A
+
1
cos
A
.
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2
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Q.
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tan
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IS LHS=RHS ?
tan
A
+
sec
A
−
1
tan
A
−
sec
A
+
1
=
sec
A
+
tan
A
=
1
+
sin
A
cos
A
=
√
1
+
sin
A
1
−
sin
A
Say true or false.
Q.
1
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A
−
sin
A
1
+
cos
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+
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A
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A
−
tan
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Sum of Trigonometric Ratios in Terms of Their Product
Standard XII Mathematics
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