If Cosec K-Cot K = 0.2 find sin K
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Seems like there is some error in question..
please check the question!
- ↪For sake of simplicity lets replace theta by x
- ↪i.e Cotx + Cosecx = K
- ↪we know, (Cosecx)^2 - (Cotx)^2 = 1
- ↪cosecx + cotx = 1/(Cosecx - cotx)
- ↪cosecx - cotx = 1/K
- ↪and, Cotx + Cosecx = K
- ↪adding both gives
- ↪2 cosecx = K + 1/K
- ↪Sinx = 1/cosecx = 2k/(K^2 + 1)
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