Given that tan(A+B) = √3 and tan(A-B) =1/√3, find the values of A and B.

If θ is a positive acute angle and cos² θ + cos⁴θ = 1, then the value of tan²θ + tan⁴θ is?

If cos(2θ) = 1 - 2sin²(θ) and tan(θ) + cot(θ) = k, find the value of k when sin(θ) = 3/5.

Find the Value of Sin⁶`Theta`  + Cos⁶`Theta`  + 3Sin² `theta` Cos²`Theta`

Find the value of sin(θ) if 2sinθ = tanθ, for 0 < θ < 90°.

If (1+sinθ)/cosθ = x, then find the value of secθ?

1.