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cosα=√(1-sin²α)
cosα=√(1-1/16)
cosα=√(15/16)
cosα=√15/4
tgα=sinα/cosα
tgα=(1/4)/(√15/4)
tgα=1/√15
3+2tg²α=3+2*(1/√15)²=3+2/15=3i2/15