Prove this:cot 75° + cot 15°=4

Social Studies

1 answer:

sashaice [31]3 years ago

6 0

Answer:

$tan75 {}^{0} = 2 + \sqrt{3}$

$tan \: 15 {}^{0} = 2 - \sqrt{3}$

=> cot 75⁰ + cot 15⁰

= cot(90⁰ - 15⁰) + cot(90⁰ - 75⁰)

= tan 15⁰ + tan 75⁰

$2 + \sqrt{3} + 2 - \sqrt{3} = 4$

(proven)

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Prove this:cot 75° + cot 15°=4​

Prove this:cot 75° + cot 15°=4