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Ivahew [28]
2 years ago
14

Prove this:cot 75° + cot 15°=4​

Social Studies
1 answer:
sashaice [31]2 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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