$${sin^2θ\over cosθ(1+cosθ)}+{1+cosθ\over cosθ} =?$$

If tanx = cot(50+3x), then what is the value of x ?

$$ {3tan^{2}30°}-{4\over 3}{sin^{2}60°}- {1\over2}{cosec^{2}45°}+{4\over3}{sin^{2}90°=?}$$

$$(1+tan θ+secθ)(1+cotθ-cosecθ)\over (sec θ+tan θ)(1-sin θ) $$ is equal to :

What is the simplification value of $${cotA+tanB}\over{cotB+tanA}$$?

If secθ + tanθ = 3, then the value of secθ is:

If $${cos^2θ\over cot^2θ-cos^2θ}=3,$$ where $${0^0<θ<90^0}$$ then the value of θ is:

(sec A + tan A – 1) (sec A – tan A+1) =?