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Byju's Answer
Standard X
Mathematics
Trigonometric Identity- 2
Question 4 (i...
Question
Question 4 (iii)
Choose the correct option. Justify your choice.
(iii) (sec A + tan A) (1 - sin A) =
(A) sec A
(B) sin A
(C) cosec A
(D) cos A
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Solution
(iii) (D) is correct.
(
s
e
c
A
+
t
a
n
A
)
(
1
−
s
i
n
A
)
=
(
1
c
o
s
A
+
s
i
n
A
c
o
s
A
)
(
1
−
s
i
n
A
)
=
(
1
+
s
i
n
A
c
o
s
A
)
(
1
−
s
i
n
A
)
=
(
1
−
s
i
n
2
A
)
c
o
s
A
=
c
o
s
2
A
c
o
s
A
=
c
o
s
A
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Similar questions
Q.
(sec A + tan A) (1 − sin A) =
(a) sec A
(b) sin A
(c) cosec A
(d) cos A