If 3 sin x + 5cosx = 5 then what is the value of (3cosx - 5sinx)

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

Find the value tanθ-cosθ in the given figure.

The value of  $${cosec^2} 18° -{1\over cot^272°}$$.

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

If $$ {2sinθ-cosθ\over cosθ+sinθ}=1 $$ then the value of Cotθ is

The value of $$ {3sin30°-4sin^{3}30°}$$

If sec x + cos x = 2, then the value of sec16 x + cos16 x will be-