Question

Oblicz wartości tangesa i cotangesa kątów 150 stopni, 240 stopni i 300 stopni.

Pomoooccyyy ! ;*

Answer 1

Tg150* =tg90* + tg60*
tg150* =0 + 0,5774 = 0,5774

tg300* =2 tg150*
tg300* =1,1548

tg240* =tg300* - tg60*
tg240* =1,1548 - 0,5774 = 0,5774


tg + ctg = 1
ctg = 1 - tg

ctg150* = 1 - 0,5774 = 0,4226

ctg300* = 1 - 1,1548 = -0,1548

ctg240* = 1 - 0,5774 = 0,4226

Answer 2

Tg 150= 5* 30=5*√3/3=5√3/3
ctg150= 3/5√3 * √3/√3=3√3/15=√3/5
tg240=4*60=4√3
ctg240=1/4√3 *4√3/4√3=√3/12
tg 300= 30*10=√3/3*10=10√3/3
ctg300=3/10√3 *10√3/10√3=√3/10