Assertion (A): If x = a cos θ + b sin θ and y = a cos θ - b sin θ, then x² + y² = a² + b²

Reason (R): cos²θ + sin²θ = 1.

1. Assertion (A) is true, Reason (R) is false.

2. Assertion (A) is false, Reason (R) is true.

3. Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct reason for Assertion (A).

4. Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct reason (or explanation) for Assertion (A).

From the figure (ii) given below, find the values of x and y in terms of t-ratios of θ.

From the figure (1) given below, find the values of :

(i) sin ∠ABC

(ii) tan x - cos x + 3 sin x