Speed of 1,000,000,000 periods per second in computer

If tan α = 1/2, tan β = 1/3, then find α + β.

If A + B = 45⁰ , then the value of 2(1 + tanA) (1 + tanB) is:

If 7sin²θ + 3cos²θ = 4, then find the value of θ?

If sec A + tan A = 7 and sec A - tan A = (1/7), find the value of cos A.

If x+  1/x = 2cosθ, then the value of x³+  1/x³ is

If cosB = sin(1.5B - 15°), then find the measure of 'B'.

If √3 tan 2θ – 3 = 0, then find the value of tanθ secθ – cosθ where 0 < θ < 90°

Find the value of the given trigonometric expression:

(sin 10°cos 80° + cos²10°) × sin 30° + (cos 60°tan 45°) × sec 60°