If $$ {sin\ {θ}}={1\over {\sqrt{2}}}$$ then (tanθ+cosθ)=?

If x+ y=90°, then what is  the value of $$ {\sqrt{cosx.cosecy-cosx.siny}}$$?

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

$$ {3sin60°-4sin^{3}60°=?}$$

If $$ {tan\ θ={a\over b}}$$ then $$ {a\sinθ+b\cosθ\over{a\sinθ-b\cosθ}}$$  is

ΔPQR is right angled at Q. If cos P = 3/5, then what is the value of cos R?

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

If a cot θ + b cosec θ= p and b cot θ + a cosec θ = q then p² -q² is equal to _____