In ∆ ABC measure of angle B is 90⁰. If cos A = $$ 5\over 13 $$ and AB = 10 Then what is the length of side BC ?

If $$ sin(θ+30^0)= {3\over \sqrt { 12} }  $$ then find cos²θ : 

If x cos²30⁰. sin60⁰=$${tan^2{45}^0.sec60^0}\over cosec\ 60^0$$ then the value of x : 

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 tan α = 2, then the value of   $$ {cosec^2 α - sec^2 α}\over{cosec^2 α + sec^2 α}   $$ is : 

A shopkeeper has 11 books of same cost price. He sells the first book at certain price, then he sells second book at a price which is ₹ 1 less than the selling price of first book and then he sells third book at a price which is ₹1 less than the selling price of second book. Following this pattern, he sold all 11 books. If he sells sixth book at its cost price. Find the overall percent profit or loss on selling all 11 books. 

Out of the given responses one of the factors of  (a²-b²)³+(b²-c²)³+(c²-a²)³ is 

x = y = 333 and z = 334, then value of x³ + y³ + z³ – 3xyz is