What is the value of sin(2θ) if sin(θ) = 3/5 and θ is in the first quadrant?

Simplify: (sin x + cos x)² + (sin x - cos x)²

If tan(A) = 1/√3 and tan(B) = √3, what is the value of tan(A + B)?

Find the general solution for sin(x) = 1/2.

What is the period of the function f(x) = cos(3x)?

If sin(x) + cos(x) = √2, what is the value of sin(x)cos(x)?

What is the value of arcsin(sin(5π/4))?

Which of the following is equivalent to sec²(x) - tan²(x)?

Solve for x: 2cos(x) - 1 = 0, where 0 ≤ x ≤ 2π

Given a triangle with sides a=5, b=7, and angle C=60°, find the length of side c.