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a) 1 - sin²α =cos²α
b) 1 ÷ tgα =1÷sinα/cosα=cosα/sinα=ctgα
c) 1 - cos²α =sin²α
d) 1 ÷ ctgα =1÷cosα/sinα=sinα/cosα=tgα
e) sinα × ctgα =sinα×cosα/sinα=cosα
f) sinα ÷ cosα =tgα
g) cosα × tgα =cosα×sinα/cosα=sinα
h) tgα ÷ ctgα =sinα/cosα÷cosα/sinα=sinα/cosα×sinα/cosα=
=sin²α/cos²α=tg²α
b) 1 ÷ tgα =1÷sinα/cosα=1×cosα/sinα=cosα/sinα=ctgα
c) 1 - cos²α =sin²α+cos²α-cos²α=sin²α
d) 1 ÷ ctgα =1÷ cosα/sinα=1×sinα/cosα=sinα/cosα=tgα
e) sinα × ctgα =sinα×cosα/sinα=cosα
f) sinα ÷ cosα =tgα
g) cosα × tgα =cosα×sinα/cosα=sinα
h) tgα ÷ ctgα =tgα÷cosα/sinα=tgα×sinα/cosα=tgα×tgα=tg²α