Udowodnij tożsamość: Sorry, że bez zdjęcia... : ctgα-tgα/sinα+cosα = 1/sinα - 1/cosα i (1/cosα -cosα)(1/sinα -sinα)(tgα+ctgα)=1 *α- alfa /- ułamek

(ctgα - tgα)/(sinα + cosα) = 1/sinα - 1/cosα L = (ctgα - tgα)/(sinα + cosα) = = (cosα/sinα - sinα/cosα)/(sinα + cosα) = = [(sinα + cosα)*(cosα - sinα)/(sinα*cosα)]/(sinα+cosα) = = (cosα - sinα)/(sinα*cosα) P = 1/sinα - 1/cosα = = (cosα - sinα)/(sinα*cosα) = = L (1/cosα - cosα)(1/sinα - sinα)(tgα + ctgα) = 1 L = (1/cosα - cosα)(1/sinα - sinα)(tgα + ctgα) = = [(1- (cosα)^2)/cosα]*[(1 -sinα)^2)/sinα]*[sinα/cosα + cosα/sinα] = = [(sinα)^2)/cosα]*[(cosα)^2)/sinα]*[(sinα)^2 + (cosα)^2]/sinα*cosα = = [(sinα)^2)*(cosα)^2]/[(sinα)^2)*(cosα)^2] = = 1 = P