Question

Prove that tan 70° - tan 20° = 2 tan 50°

⚠No irrelevant answers⚠​

Answer 1

Answer:

heya dear.....☆☆

Step-by-step explanation:

please refer to the above attachment☺️☺️

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Answer 2

Answer:

Step-by-step explanation:

→ tan70°=tan(50°+20°)  

Ф  Using formula

→ tan(A+B)= tanA+tanB1−tanAtanB  

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

→ tan70°−tan70°tan50°tan20°=tan50°+tan20°  

→ tan70°=tan20°+tan50°+tan70°tan50°tan20°  

→ tan70°=tan20°+tan50°(1+tan70°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°  

Ф Hence proved

hope it helps

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