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

The value of $$(x^{b+c})^{b-c}. (x^{c+a})^{c-a}.(x^{a+b})^{a-b}$$ when (x≠0).

If sinθ – cosθ = 7/13 and 0⁰ < θ < 90⁰ , then the value of sinθ + cosθ is :

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

Find the value tanθ-cosθ in the given figure.

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 : 

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