Explanation

This is an arithmetic series:

2, 6, 10, 14, ...

First term (a) = 2

Common difference (d) = 6 - 2 = 4

Number of terms (n) = 12

Sum of n terms of an arithmetic series:

S = n/2 × [2a + (n - 1)d]

S = 12/2 × [2×2 + (12 - 1)×4]

S = 6 × [4 + 44] = 6 × 48 = 288

Explanation

Given cosec(90 - θ):

Using trigonometric identities, cosec(90 - θ) = sec(θ).

Explanation

In space, beyond Earth's atmosphere, the sky actually looks black because there is no air to scatter sunlight.

The blue color we see from Earth is due to Rayleigh scattering in the atmosphere, not the actual color of the sky.

Explanation

The incenter is the point where the three angle bisectors of a triangle meet.

It is the center of the incircle, the circle that touches all three sides of the triangle.

Explanation

To simplify the expression:

ac + ad + bc + bd

Factor out the common terms:

a(c + d) + b(c + d)

Then, factor out the common binomial factor:

(a + b)(c + d)

Explanation

If A is a subset of B (A ⊂ B), then every subset of A is also a subset of B.

This means the power set of A (P(A)) is a subset of the power set of B (P(B)).

Explanation

Sincere means مخلص

Genuine means حقیقی

Explanation

Explanation

A funnel is a tube or pipe that is wide at the top and narrow at the bottom,

used for guiding liquid or powder into a small opening. 

Explanation

Unlike the others, a snake is a reptile.

The rest (Cat, Elephant, Dog) are mammals.