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Standard X
Mathematics
Question
If
sin
A
−
cos
A
=
0
, find the value of
2
tan
2
A
+
sin
2
A
+
1
.
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Solution
Verified by Toppr
A
s
sin
A
=
cos
A
p
h
=
b
h
p
e
r
p
e
n
d
i
c
u
l
a
r
=
b
a
s
e
l
e
t
t
h
e
p
b
e
1
∴
p
e
r
p
e
n
d
i
c
u
l
a
r
=
1
b
a
s
e
=
1
h
y
p
o
t
e
n
u
s
e
=
√
2
(
u
s
i
n
g
p
y
t
h
a
g
o
r
a
s
t
h
e
o
r
a
m
)
sin
A
=
p
h
=
1
√
2
tan
A
=
p
b
=
1
1
∴
2
tan
2
A
+
sin
2
A
+
1
=
2
(
1
1
)
2
+
(
1
√
2
)
2
+
1
=
2
+
1
2
+
1
=
4
+
1
+
2
2
=
7
2
Hence, this is the answer.
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Similar Questions
Q1
If
sin
A
−
cos
A
=
0
, find the value of
2
tan
2
A
+
sin
2
A
+
1
.
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Q2
If sinA = cosA, find 2tan
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If
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,
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