Find the value of $$\left({1\over {sin 60°}} \right)^{2} + (cos 30°)^{2} \over(tan 45°)^{2}$$.

If 4sin² θ – 1 = 0 and angle θ is less than 90⁰. The value of cos² θ + tan² θ is:
(Take 0⁰ < θ < 90⁰) 

If $$ {tan3A=cot{(2A+40)}}$$ then find the value of $$ {tan^2{3A}}+{cot^{4}3A}$$.

If $${(2cos^3 A-cosA)\over (sin A- 2 sin^3 A)=1}$$ then what is the value of A?

One angle of a triangle is 55°. If the other two angles are in the ratio 9:16, find the angles?

If $${secθ+tanθ\over secθ-tanθ}=2{51\over79}$$, then the value of sinθ is equal to:

If 0 ≤ θ ≤ 90⁰ and 4cos²θ - $$4{\sqrt { 3} \ }cosθ$$ + 3 = 0, then the value of θ is : 

Find out value of Cosec $$\left(-{5π\over3} \right)$$?