Explanation

• The trigonometric identity for cos(3a) is: cos(3a) = 4cos^3(a) - 3cos(a)
• This can be proved using the angle sum and difference formulas for cosine.

Explanation

BRUSQUE means اکھڑ

Polite means شائستہ

Explanation

The extraction of a cube root of a given number is a binary operation.

Explanation

• When a gas is ionized, it means that the gas is converted into a state of matter known as plasma, where the gas is broken down into ions and free electrons.
• This is typically achieved through the application of high temperatures, high energies, or strong electrical fields.

Explanation

According to Newton's 2nd law, the object's acceleration and centripetal force are in the same direction.

Explanation

By joining two hemispheres along their bases we have a sphere.

Total surface area of sphere = 4×πr2

Explanation

The idiom "talking through his hat" means to speak about something without having enough knowledge or information about it.

Explanation

The EMF induced across the ends of a wire moving through a magnetic field can be calculated using the formula:

E = Blv

Where:

• E is the induced EMF in volts
• B is the magnetic flux density in teslas
• l is the length of the wire in meters
• v is the velocity of the wire in meters per second

Given:

B = 0.10 T

l = 0.20 m

v = 3.0 m/s

Substituting the values into the formula, we get:

E = 0.10 x 0.20 x 3.0

E = 0.06 V

Explanation

Uni negative ion is exothermic due to strong nuclear attraction and no already electron-electron repulsion.

Explanation

• Pseudonym: a fictitious name, especially one used by an author.
• Nickname: a familiar or humorous name given to a person or thing instead of or as well as the real name.
• Nomenclature: the devising or choosing of names for things, especially in a science or other discipline.
• Title: a name that describes someone's position or job.