Question

tan 70° = cot 20° = 2 tan 50º+tan 20​

Answer 1

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( The Above pic is for formula )

➡️ tan70°=tan50°+tan20°1−tan50°×tan20°

➡️ tan70°−tan70°tan50°tan20°=tan50°+tan20°

➡️ tan70°=tan20°+tan50°+tan70°tan50°tan20

➡️ tan70°=tan20°+tan50°(1+tan(90°−20°)×tan20°)

➡️ tan70°=tan20°+tan50°(1+cot20°tan20°)

➡️ tan70°=tan20°+tan50°(1+tan20°tan20°)

➡️➡️ Since (cotθ=1tanθ)

➡️ tan70°=tan20°+tan50°(1+1)

➡️ tan70°=tan20°+2tan50°

${ \huge{ \fcolorbox{red}{yellow}{Hence Proved}}}$

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Answer 2

Answer:

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