Question

Rezolvati ctg5x = tgx

Answer 1

12354=234
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Sper ca te-am ajutat!
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Answer 2

Formula de rezolvare pentru ecuatua ctg u = ctg v, este u = v +kπ, k∈Z, apoi avem formula tg($(\frac{ \pi }{2}-x)=$ctgx., si $tgx=ctg( \frac{ \pi }{2}-x)$, deci transformam ecuatia in : $ctg5x=ctg( \frac{ \pi }{2}-x)$. Conform formulei date mai sus avam: $5x= \frac{ \pi }{2}-x+k \pi ,deci,6x= \frac{ \pi }{2}+k \pi ,sau,x= \frac{ \pi }{12}+k \frac{ \pi }{6}, k$∈Z