If sin²θ - 3sinθ + 2=0, the find the value of θ(0⁰≤ θ≤90⁰)

If cos(2θ+54°) = sinθ, 0°<(2θ-54°)<90°, then what is the value of $$1\over tan5θ+cosec{5θ\over 2}$$   

In ∆PQR, ∠Q=90°. If cot $$R={1\over 3}$$, then what is the value of $${secP(cosR+sinP)\over cosec \ R(sinR-cosecP)} $$?

The elimination of θ from x cosθ-y sinθ=2 and x sinθ + ycosθ = 4 will give

For any real value of $${\sqrt {secθ-1}\over \sqrt {secθ+1} }=?$$

If $$ cosecθ + cotθ =p $$, then the value of  $${p^2-1}\over{p^2+1}$$ is:

The value of   $${cosec^230^0sin^245^0+sec^260^0}\over {tan60^0cosec^245^0-sec^260^0tan45^0}$$ is 

If $$cosθ + cos^2θ= 1,$$find the value of $$\sqrt {sin^4θ+cos^2θ} \ $$