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

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

Which of the following simplification value of $$ {(secA-cosA)^{2}}+{(cosecA-sinA)^{2}}-{(cotA-tanA)^{2}}$$ ?

If a=tanθ + 1 and b=sinθ+cosθ then find (b²-1)a=?

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

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

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

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