How to calculate log 5 </msub> &#x2061;<!-- ⁡ --> tan &#x2061;<!-- ⁡ -->

Holetaug

Holetaug

Answered question

2022-07-02

How to calculate log 5 tan ( 36 ) + log 5 tan ( 54 ) without a calculator?

Answer & Explanation

Mateo Carson

Mateo Carson

Beginner2022-07-03Added 15 answers

Hint: 36 + 54 = 90 so
tan ( 54 ) = cot ( 36 )
log 5 tan ( 36 ) + log 5 tan ( 54 ) = log 5 ( tan ( 36 ) tan ( 54 ) ) = log 5 ( tan ( 36 ) cot ( 36 ) ) = log 5 ( 1 ) = 0

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