Solve cot &#x2061;<!-- ⁡ --> x

Amber Quinn

Amber Quinn

Answered question

2022-06-14

Solve cot x csc x + cot x = 0

Answer & Explanation

stigliy0

stigliy0

Beginner2022-06-15Added 21 answers

Observe that
cot x csc x + cot x = cos x sin x 1 sin x + cos x sin x = 0
which is equivalent to
cos x sin 2 x = cos x sin x .
Cross-multiplying we find that
1 sin x = 1
or rather sin x = 1. This should be simple now. Observe additionally that this also occurs when cos x = 0 which should be simple as well.

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