If α + β - γ = π, and sin² α + sin² β – sin² γ = λ sin α sin β cos γ, then write the value of λ.

Write the maximum and minimum values of 3 cos x + 4 sin x + 5.

Write the maximum values of 12 sin x – 9 sin² x.

If 12 sin x – 9 sin² x attains its maximum value at x = α, then write the value of sin α.

Write the interval in which the values of lie.

If tan (A + B) = p and tan (A – B) = q, then write the value of tan 2B.

If then write the value of tan x tan y.

If then write the value of ab + bc + ca.

If A + B = C, then write the value of tan A tan B tan C.

If sin α – sin β = a and cos α + cos β = b, then write the value of cos (α + β).

If and then write the value of α + β lying in the interval (0, π/2).