" 8.If "tan20^(@)=p" then prove that "(tan610^(@)+tan700^(@))/(tan560^(@)-tan470^(@))=(1-p^(2))/(1+p^(2))" ."

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

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

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

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

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

If tan 20^@ =p , " then " (tan 160^@ - tan 110^(@))/(1+ tan 160^(@) tan 110^(@))=

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