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N I S H I D H A .
Subject: Maths
, asked on 15/3/18
Which formula do we use to get that step? :/
=
3
.
P
r
o
v
e
t
h
a
t
,
cos
1
sin
x
+
cos
x
2
=
x
-
π
4
,
π
4
≤
x
≤
5
π
4
S
o
l
n
.
:
L
.
H
.
S
.
=
cos
1
sin
x
+
cos
x
2
,
x
∈
π
4
,
5
π
4
=
cos
1
1
2
sin
x
+
1
2
cos
x
,
x
∈
π
4
,
5
π
4
=
cos
1
sin
π
4
sin
x
+
cos
π
4
cos
x
=
c
o
s
1
c
o
s
x
-
π
4
=
x
-
π
4
=
R
.
H
.
S
Answer
1
Shubhrajyoti Ghosh
Subject: Maths
, asked on 15/3/18
I
f
t
h
e
s
t
r
a
i
g
h
t
l
i
n
e
l
x
+
m
y
=
n
i
s
a
n
o
r
m
a
l
t
o
t
h
e
h
y
p
e
r
b
o
l
a
x
2
a
2
-
y
2
b
2
=
1
,
s
h
o
w
t
h
a
t
a
2
l
2
-
b
2
m
2
=
a
2
+
b
2
2
n
2
.
Answer
1
Shubhrajyoti Ghosh
Subject: Maths
, asked on 15/3/18
No links please
Q.(i) Prove that the greatest rectangle inscribed in a given circle is a square.
Answer
2
Lavneesh Rajput
Subject: Maths
, asked on 15/3/18
Q
.
P
r
o
v
e
t
h
a
t
:
tan
-
1
1
5
+
tan
-
1
1
7
+
tan
-
1
+
1
8
=
π
4
Answer
3
Tithi
Subject: Maths
, asked on 14/3/18
Solve this:
17. If A>B>c>0. Prove that:
c
o
t
-
1
1
+
a
b
a
-
b
+
c
o
t
-
1
1
+
b
c
b
-
c
+
c
o
t
-
1
1
+
c
a
c
-
a
=
π
Answer
1
Shubhrajyoti Ghosh
Subject: Maths
, asked on 14/3/18
No links please
Q). Prove that :
tan
-
1
π
4
+
1
2
cos
-
1
a
b
+
tan
π
4
-
1
2
c
o
s
-
1
a
b
=
2
b
a
Answer
1
Shubhrajyoti Ghosh
Subject: Maths
, asked on 13/3/18
No links please:
(ii) If
S
e
c
θ
-
Coses
θ
=
4
3
, then show that
θ
=
1
2
sin
-
1
3
4
Answer
1
Shubhrajyoti Ghosh
Subject: Maths
, asked on 13/3/18
Q. An operation * defines on S = {1,2,3,4,5,6} be such that a * b = ab (mod7) [a,b
∈
s ], show that * is a binary operation and all the elements of S are invertible.
Answer
1
Shubhrajyoti Ghosh
Subject: Maths
, asked on 11/3/18
No links please
P
r
o
v
e
sin
-
1
cos
sin
-
1
x
+
cos
-
1
sin
cos
-
1
x
=
π
2
Answer
1
Shubhrajyoti Ghosh
Subject: Maths
, asked on 11/3/18
Q. Prove that :
tan
-
1
1
3
tan
x
2
=
1
2
cos
-
1
1
+
2
cos
x
2
+
cos
x
Answer
1
Shubhrajyoti Ghosh
Subject: Maths
, asked on 11/3/18
P
r
o
v
e
t
h
a
t
:
1
2
cos
-
1
5
cos
x
+
3
5
+
3
cos
x
=
tan
-
1
1
2
tan
x
2
Answer
1
Shubhrajyoti Ghosh
Subject: Maths
, asked on 11/3/18
Q. Prove that :
1
2
tan
-
1
x
=
cos
-
1
1
+
1
+
x
2
2
1
+
x
2
Answer
1
Shubhrajyoti Ghosh
Subject: Maths
, asked on 11/3/18
Q
2
i
i
P
r
o
v
e
:
tan
-
1
1
+
x
-
1
-
x
1
+
x
+
1
-
x
=
π
4
-
1
2
cos
-
1
x
,
0
<
x
<
1
Answer
1
Manveen Kaur
Subject: Maths
, asked on 9/3/18
Write in simplest form
Q.
tan
-
1
2
x
1
-
x
Answer
2
Vibhav
Subject: Maths
, asked on 26/2/18
if cos-1x+cos-1y+cos-1z=pi and x+y+z=3/2 prove that x=y=z
Please give me a proper method of solving this question, DONT assume x=y=z and then solve
Properly solve using the given conditions and NOT the other way round
Answer
1
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What are you looking for?
=
Q.(i) Prove that the greatest rectangle inscribed in a given circle is a square.
17. If A>B>c>0. Prove that:
Q). Prove that :
(ii) If , then show that
Q. Prove that :
Q. Prove that :
Q.
Please give me a proper method of solving this question, DONT assume x=y=z and then solve
Properly solve using the given conditions and NOT the other way round