Byju's Answer
Standard X
Mathematics
Standard Values of Trigonometric Ratios
If tan A =...
Question
If
t
a
n
A
=
3
4
, find the value of
2
s
i
n
A
c
o
s
A
c
o
s
2
A
−
s
i
n
2
A
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Solution
Given that
t
a
n
A
=
3
4
2
s
i
n
A
c
o
s
A
c
o
s
2
A
−
s
i
n
2
A
=
s
i
n
2
A
c
o
s
2
A
=
t
a
n
2
A
=
2
t
a
n
A
1
−
t
a
n
2
A
=
2
(
3
4
)
1
−
(
3
4
)
2
=
3
2
7
16
=
24
7
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Similar questions
Q.
If
tan
A
=
√
3
, then verify that
sin
2
A
+
cos
2
A
=
1
.
Q.
Show that
1
+
sin
2
A
−
cos
2
A
1
+
sin
2
A
+
cos
2
A
=
tan
A
.
Q.
If
sin
A
+
cos
2
A
=
1
/
2
and
cos
A
+
sin
2
A
=
1
/
3
,
then find the value of
sin
3
A
Q.
cos
2
A
1
−
sin
2
A
=
1
+
tan
A
1
−
tan
A
Q.
Prove:
cos
2
A
1
−
sin
2
A
=
1
+
tan
A
1
−
tan
A
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