Explanation

ceremonial رسمی 

formal رسمی 

Explanation

Estimate تخمینہ

Explanation

Hassan is disqualified for this job 

حسن اس کام کے لیے نااہل ہے

In "Hassan is disqualified for this job", the word for is a preposition.

For shows the reason, purpose, or context of the disqualification.

Structure:

disqualified for + noun phrase (reason/context)

Explanation

A generator is a device that converts mechanical energy to electrical energy for use in an external circuit.
A generator works on the principle of electromagnetic induction.

Explanation

sin^2 θ/2 = 1 - cos ^2 θ

Explanation

The expression is a variation of the trigonometric identity:

cos^2(x) + sin^2(x) = 1

In this case, the expression is:

cos^2(θ/2) + sin^2(θ/2)

Using the identity, we can simplify the expression to: 1

Explanation

Explanation

• The trigonometric identity sin²x + cos²x = 1 can be rearranged to isolate sin²x: sin²x = 1 - cos²x
• So, sin²2θ = 1 - cos²2θ

Explanation

When a star is moving away from an observer, the wavelength of the light it emits appears to be stretched or shifted toward the red end of the spectrum. This phenomenon is known as redshift.

Explanation

If the source moves toward the observer, the frequency of the sound waves perceived by the observer increases due to the Doppler effect.