1.
If $$x\cos \theta - y\sin \theta $$    = $$\sqrt {{x^2} + {y^2}} $$   and $$\frac{{{{\cos }^2}\theta }}{{{a^2}}}$$  + $$\frac{{{{\sin }^2}\theta }}{{{b^2}}}$$  = $$\frac{1}{{{x^2} + {y^2}}}{\text{,}}$$   then the correct relation is?

2.
If cos2θ - sin2θ = $$\frac{1}{3}{\text{,}}$$ where 0 ≤ θ ≤ $$\frac{\pi }{2}{\text{,}}$$ then the value of cos4θ - sin4θ is?

3.
If sinθ + cosθ = $$\sqrt 2 $$ sin(90° - θ) then the value of cotθ is?

4.
If $$\frac{{\sin \theta + \cos \theta }}{{\sin \theta - \cos \theta }} = 3{\text{,}}$$    then the value of $${\sin ^4}\theta $$   is?

5.
0 < θ < 90°, tanθ + sinθ =m and tanθ - sinθ = n, where m ≠ n, then the value of m2 - n2 is?

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