If tan (11 θ)=cot (7θ), then what is the value of sin²(6 θ) + Sec² (9 θ) + cosec²(12 θ)?

The value of $$ cot\ {π\over 20}\ cot{3π\over 20} \cot{5π\over20}\ cot{7π\over 20}\ cot {9π\over20}$$ is:

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

What is the value of sin² 60° + cos²30°+ cot² 45° + sec² 60° – cosec² 30° + cos² 0°.

If secθ – tanθ = 1/3 what is secθ + tanθ?

$$ \sqrt {sec^2{θ}+cosec^2{θ}}=?$$

What is the value of

If  tan²θ +cot²θ  = 2, then what is the value of  2^{secθ cosecθ}?