Answer:

Explanation:

Statement A (Assertion): For 0 < θ ≤ 90°, cosec θ - cot θ and cosec θ + cot θ are reciprocal of each other.

The assertion A is true. For any angle θ in the first quadrant (0° < θ ≤ 90°)

we can write:

cosec θ - cot θ = (1/sin θ) - (cos θ / sin θ) = (1 - cos θ) / sin θ

cosec θ + cot θ = (1/sin θ) + (cos θ / sin θ) = (1 + cos θ) / sin θ

sin θ / (1 - cos θ) and sin θ / (1 + cos θ)

Multiplying the numerator and denominator of the first expression by (1 + cos θ) and the second expression by (1 - cos θ), we get:

(sin θ)(1 + cos θ) / [(1 - cos θ)(1 + cos θ)] and (sin θ)(1 - cos θ) / [(1 - cos θ)(1 + cos θ)]

Simplifying these expressions, we get:

(sin θ)(1 + cos θ) / sin² θ and (sin θ)(1 - cos θ) / sin² θ

Both of these expressions simplify to 1/(sin θ - cos θ) and 1/(sin θ + cos θ), respectively. Thus, the assertion A is true.

The reason R is also true. We know that:

cosec²θ - cot²θ = (1/sin²θ) - (cos²θ/sin²θ) = (1 - cos²θ) / sin²θ

Using the identity sin²θ + cos²θ = 1, we can write:

(1 - cos²θ) / sin²θ = sin²θ / sin²θ = 1

Thus, the reason R is also true.

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Answer:

Globalization is a term used to describe how trade and technology have made the world into a more connected and interdependent place. Globalization also captures in its scope the economic and social changes that have come about as a result.

Explanation