The third advance estimate for total Horticulture

If sin A = 3/5 and cos B = 4/5, where A and B are acute angles, find the value of sin(A + B).

If x = 4 cos A + 5 sin A snd y = 4 sin A – 5 cos A, then the value of x²+y² is :

What is the value of [tan² (90 – θ) – sin² (90 – θ)] cosec² (90 – θ) cot² (90 – θ)?

Simplify: sin (A + B) sin (A - B)

Solve for x in the interval [0, 2π]: 2 sin²x + 3 sinx - 2 = 0.

If sin(x + y) = 3/5 and cos(x - y) = 12/13, where x, y ∈ [0, π/2], find sin(2x) + sin(2y).

Find the value of sin²65^o + sin²25^o + cos²35^o + cos²55^o.

Given that 'θ' is an angle less than 120°, what is the value of 'θ' if it satisfies the equation 7cos² θ = 1 + sin²θ?

If 1 + sin 2θ = p² and sin³ θ + cos³ θ = q then Which of the following is true ?