If tan &#x2061;<!-- ⁡ --> ( &#x03B1;<!-- α --> ) + cot &#x2061;<!-- ⁡ -->

Quarrippesspevmo

Quarrippesspevmo

Answered question

2022-06-02

If tan ( α ) + cot ( α ) = a ( a > 0 ) ,, find tan ( α ) + cot ( α )

Answer & Explanation

bojnimaspnek

bojnimaspnek

Beginner2022-06-03Added 4 answers

If tan α < 0 then cot α < 0, which is contradiction because a>0.
Thus, tan α > 0, cot α > 0 and
tan α + cot α = tan α + cot α + 2 tan α cot α = a + 2

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