Maths-
General
Easy
Question
Let
be two sets. Then



- P=Q
Hint:
In the two sets
is derived from the given trigonometric equations in the respective sets. So, we will first simplify the equation then will get the relation between them.
The correct answer is: P=Q
Given two sets 

Related Questions to study
Maths-
If
then
is
If
then
is
Maths-General
physics-
A long cylindrical tube carries a highly polished piston and has a side opening. A tuning fork of frequency n is sounded at the sound heard by the listener charges if the piston is moves in or out. At a particular position of the piston is moved through a distance of 9 cm, the intensity of sound becomes minimum, if the speed of sound is 360 m/s, the value of n is

When piston moves a distance
, path difference change by 2 xs.
the path difference between maxima and consecutive minima=
∴
Or
λ=4x=4×9 cm=36cm=0.36m

∴
Or
λ=4x=4×9 cm=36cm=0.36m
A long cylindrical tube carries a highly polished piston and has a side opening. A tuning fork of frequency n is sounded at the sound heard by the listener charges if the piston is moves in or out. At a particular position of the piston is moved through a distance of 9 cm, the intensity of sound becomes minimum, if the speed of sound is 360 m/s, the value of n is

physics-General
When piston moves a distance
, path difference change by 2 xs.
the path difference between maxima and consecutive minima=
∴
Or
λ=4x=4×9 cm=36cm=0.36m

∴
Or
λ=4x=4×9 cm=36cm=0.36m
Maths-
The value of
The value of
Maths-General
Maths-
For any real , the maximum value of
is
As cos is a decreasing function and sin is an increasing function so the function
is maximum when
=
.
So, the maximum value of
= 
So, the maximum value of
For any real , the maximum value of
is
Maths-General
As cos is a decreasing function and sin is an increasing function so the function
is maximum when
=
.
So, the maximum value of
= 
So, the maximum value of
chemistry-
Identify A and B
With H2 / pd / CaCO3 - is addition of ‘H’ know is oxidizing agent
Identify A and B
chemistry-General
With H2 / pd / CaCO3 - is addition of ‘H’ know is oxidizing agent
Maths-
If
then sin (A-B) =
GIVEN-
√2 cos A = cos B + cos3 B..... equation 1
∴ cos A = 1/√2 (cos B + cos3 B) ........ (Dividing both sides by √2)
TO FIND-
Sin (A - B)
SOLUTION-
We know that-
Sin (A - B) = (Sin A * Cos B) - (Cos A * Sin B)
∴ Sin (A - B) = [1/√2 (sin B - sin3 B) * cos B] - [1/√2 (cos B + cos3 B) * sin B] ...... (From Equations i & ii)
∴ Sin (A - B) = [1/√2 * (sin B Cos B - sin3 B Cos B)] - [1/√2 * (sin B cos B + cos3 B * sin B)]
∴ Sin (A - B) = 1/√2 sin B Cos B - 1/√2 sin3 B Cos B - (1/√2 sin B cos B + 1/√2 cos3 B * sin B)
∴ Sin (A - B) = 1/√2 sin B Cos B - 1/√2 sin3 B Cos B - 1/√2 sin B cos B - 1/√2 cos3 B * sin B
∴ Sin (A - B) = 1/√2 sin B Cos B - 1/√2 sin3 B Cos B - 1/√2 sin B cos B - 1/√2 cos3 B * sin B
∴ Sin (A - B) = -1/√2 sin3 B Cos B - 1/√2 cos3 B * sin B
∴ Sin (A - B) = -1/√2 sin B Cos B (sin2 B +cos2 B)
= -1/2√2 sin2B
Now squaring and adding equation 1 and 2 we get

√2 cos A = cos B + cos3 B..... equation 1
∴ cos A = 1/√2 (cos B + cos3 B) ........ (Dividing both sides by √2)
√2 sin A = sin B - sin3 B..... equation 2
∴ sin A = 1/√2 (sin B - sin3 B) ........ (Dividing both sides by √2)TO FIND-
Sin (A - B)
SOLUTION-
We know that-
Sin (A - B) = (Sin A * Cos B) - (Cos A * Sin B)
∴ Sin (A - B) = [1/√2 (sin B - sin3 B) * cos B] - [1/√2 (cos B + cos3 B) * sin B] ...... (From Equations i & ii)
∴ Sin (A - B) = [1/√2 * (sin B Cos B - sin3 B Cos B)] - [1/√2 * (sin B cos B + cos3 B * sin B)]
∴ Sin (A - B) = 1/√2 sin B Cos B - 1/√2 sin3 B Cos B - (1/√2 sin B cos B + 1/√2 cos3 B * sin B)
∴ Sin (A - B) = 1/√2 sin B Cos B - 1/√2 sin3 B Cos B - 1/√2 sin B cos B - 1/√2 cos3 B * sin B
∴ Sin (A - B) = 1/√2 sin B Cos B - 1/√2 sin3 B Cos B - 1/√2 sin B cos B - 1/√2 cos3 B * sin B
∴ Sin (A - B) = -1/√2 sin3 B Cos B - 1/√2 cos3 B * sin B
∴ Sin (A - B) = -1/√2 sin B Cos B (sin2 B +cos2 B)
= -1/2√2 sin2B
Now squaring and adding equation 1 and 2 we get
If
then sin (A-B) =
Maths-General
GIVEN-
√2 cos A = cos B + cos3 B..... equation 1
∴ cos A = 1/√2 (cos B + cos3 B) ........ (Dividing both sides by √2)
TO FIND-
Sin (A - B)
SOLUTION-
We know that-
Sin (A - B) = (Sin A * Cos B) - (Cos A * Sin B)
∴ Sin (A - B) = [1/√2 (sin B - sin3 B) * cos B] - [1/√2 (cos B + cos3 B) * sin B] ...... (From Equations i & ii)
∴ Sin (A - B) = [1/√2 * (sin B Cos B - sin3 B Cos B)] - [1/√2 * (sin B cos B + cos3 B * sin B)]
∴ Sin (A - B) = 1/√2 sin B Cos B - 1/√2 sin3 B Cos B - (1/√2 sin B cos B + 1/√2 cos3 B * sin B)
∴ Sin (A - B) = 1/√2 sin B Cos B - 1/√2 sin3 B Cos B - 1/√2 sin B cos B - 1/√2 cos3 B * sin B
∴ Sin (A - B) = 1/√2 sin B Cos B - 1/√2 sin3 B Cos B - 1/√2 sin B cos B - 1/√2 cos3 B * sin B
∴ Sin (A - B) = -1/√2 sin3 B Cos B - 1/√2 cos3 B * sin B
∴ Sin (A - B) = -1/√2 sin B Cos B (sin2 B +cos2 B)
= -1/2√2 sin2B
Now squaring and adding equation 1 and 2 we get

√2 cos A = cos B + cos3 B..... equation 1
∴ cos A = 1/√2 (cos B + cos3 B) ........ (Dividing both sides by √2)
√2 sin A = sin B - sin3 B..... equation 2
∴ sin A = 1/√2 (sin B - sin3 B) ........ (Dividing both sides by √2)TO FIND-
Sin (A - B)
SOLUTION-
We know that-
Sin (A - B) = (Sin A * Cos B) - (Cos A * Sin B)
∴ Sin (A - B) = [1/√2 (sin B - sin3 B) * cos B] - [1/√2 (cos B + cos3 B) * sin B] ...... (From Equations i & ii)
∴ Sin (A - B) = [1/√2 * (sin B Cos B - sin3 B Cos B)] - [1/√2 * (sin B cos B + cos3 B * sin B)]
∴ Sin (A - B) = 1/√2 sin B Cos B - 1/√2 sin3 B Cos B - (1/√2 sin B cos B + 1/√2 cos3 B * sin B)
∴ Sin (A - B) = 1/√2 sin B Cos B - 1/√2 sin3 B Cos B - 1/√2 sin B cos B - 1/√2 cos3 B * sin B
∴ Sin (A - B) = 1/√2 sin B Cos B - 1/√2 sin3 B Cos B - 1/√2 sin B cos B - 1/√2 cos3 B * sin B
∴ Sin (A - B) = -1/√2 sin3 B Cos B - 1/√2 cos3 B * sin B
∴ Sin (A - B) = -1/√2 sin B Cos B (sin2 B +cos2 B)
= -1/2√2 sin2B
Now squaring and adding equation 1 and 2 we get
chemistry-
Observer the following reactions and predict the nature of A and B

Conceptual
Observer the following reactions and predict the nature of A and B

chemistry-General
Conceptual
chemistry-
on ozonolysis gives

on ozonolysis gives
chemistry-General

chemistry-
Which of the following reactions will yield 2, 2-dibromopropane?

Which of the following reactions will yield 2, 2-dibromopropane?
chemistry-General

Maths-
If
then
is equal to
If
then
is equal to
Maths-General
Maths-
If
where
being an acute angle then
is equal to
If
where
being an acute angle then
is equal to
Maths-General
maths-
Let A,B,C be three angles such that
and
. Then, all possible values of P such that A,B,C are the angles of a triangle is
Let A,B,C be three angles such that
and
. Then, all possible values of P such that A,B,C are the angles of a triangle is
maths-General
chemistry-
is an example for
is an example for
chemistry-General
Maths-
If
where
then
=
If
where
then
=
Maths-General
chemistry-
What is the hybridization state of benzyl carbonium ion


What is the hybridization state of benzyl carbonium ion

chemistry-General
