If θ is an acute angle and sinθcosθ=2cos³θ-1.5cosθ,then  what is sinθ equal to 

If tan(x+40)°tan(x+20)°tan(3x)°tan(70-x)°tan(50-x)°=1,then the value of x is equal to

cosθ/(1-sinθ) is equal to

If x=acosθ and y=bcotθ ,then (ax^-1-by^-1)(ax^-1+by^-1) is equal to 

Consider the followng statements

1.(1+tan²θ)/(1+cot²θ)=[(1-tanθ)/(1-cotθ)]² is true for all 0<θ<π/2,θ≠π/4

2.cotθ=1/tanθ is true for θ=45° only

Which of the above statement is/are correct?

20% of a number when added to 20 becomes the  number itself,then the number is