Question

tan(45+x) -tan (45-x)=2tan2x​

Answer 1

Step-by-step explanation:

{1+tanx}/{1-tanx} -{1-tanx}/{1+tanX}

{(1+tanx)²-(1-tanx)²}/(1-tan²x)

{1+tan²x+2tanx -1-tan²x+2tanx}/(1-tan²x}

4tanx/(1-tan²x)

2×2tanx/(1-tan²x)

2tan2x proved

where tan2 x = 2tanx/(1-tan²x)

tan45°=1

tan(45°+x) = (tan 45°+tanx)/

(1-tan45°.tanx)

tan(45°-x) = (tan45°-tanx)/{1+tan45°tanx)