If `tan20^(@)=p` then prove that = `(tan610^(@)+tan700^(@))/(tan 560^(@)-tan470^(@)) = (1-p^(2))/(1+p^(2))`

(i) If tan 20^(@) = lambda then show that (tan 610^(@) + tan 700^(@))/(tan 560^(@) - tan 470^(@))=(1-lambda^(2))/(1+lambda^(2))

Prove that: tan10^(@) tan20^(@)tan70^(@)tan80^(@)=1

Prove that: tan10^(@) tan20^(@)tan70^(@)tan80^(@)=1

Prove that, tan 70^(@) = 2tan 50^(@) + tan 20^(@)

If tan 25^(@)=a , prove that (tan 155^(@)-tan115^(@))/(1+tan155^(@)tan115^(@))=(1-a^(2))/(2a) .

Prove that: tan20^(@)tan30^(@)tan40^(@)tan80^(@)=1

If tan20=lambda ,prove that (tan160^(@)-tan110^(@))/(1+tan160^(@)*tan110^(@))=(1-lambda^(2))/(2 lambda) .

Prove that tan70^(@)-tan20^(@)=2tan50^(@) .

Prove that tan70^(@)=2tan50^(@)+tan20^(@) .

Prove that: tan70^(@)=tan20^(@)+2tan50^(@)