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1/(tanx + cotx)
= 1/(sinx/cosx + cosx/sinx)
= 1/(sin²x / sinxcosx + cos²x / sinxcosx)
= 1/( (sin²x + cos²x) / sinxcosx)
= 1/(1 / sinxcosx)
= 1 × sinxcosx / 1
= sinxcosx (proved)
= 1/(sinx/cosx + cosx/sinx)
= 1/(sin²x / sinxcosx + cos²x / sinxcosx)
= 1/( (sin²x + cos²x) / sinxcosx)
= 1/(1 / sinxcosx)
= 1 × sinxcosx / 1
= sinxcosx (proved)
thx alot now i understand better
done
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clear
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Hope this helps.
Date Posted:
3 years ago