1. Oblicz sinα, gdy ctgα=i cosα=
2. Uzasadnij tożsamość:
ctgα=cosα:sinα
-√5/2=-√5/3:sinα
sinα=-√5/3*2/-√5
sinα=2/3
2.
L=cosα/(sinα-1)+tgα=cosα/(sinα-1)+sinα/cosα=(cos²α+sin²α-sinα)/cosα(sinα-1)=(1-sinα):cosα(sinα-1)=-1/cosα
L=P
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ctgα=cosα:sinα
-√5/2=-√5/3:sinα
sinα=-√5/3*2/-√5
sinα=2/3
2.
L=cosα/(sinα-1)+tgα=cosα/(sinα-1)+sinα/cosα=(cos²α+sin²α-sinα)/cosα(sinα-1)=(1-sinα):cosα(sinα-1)=-1/cosα
L=P