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tg75=3,7321
3,7321*15=h
h=55,9815≈56cm
f)h/3=tg35
tg35=0,7002
h/3=0,7002
h=2,1006≈2,1cm
Zad. a=1
c=√3
a²+b²=c²
1²+b²=√3²
1+b²=3
b²=2
b=√2
tgα=√2/1=√2
ctgα=1/√2=√2/2
sinα=√2/√3
cosα=1/√3
tgα+2ctgα=√2+2*√2/2=√2+√2=2√2
sinα·cosα=√2/√3·1/√3=√2/3
(tgα+2ctgα)/sinα·cosα=2√2:√2/3=2√2·3/√2=6
f)
180-110-35=35
Trzeci kąt wynosi też 35 st. Jest to trójkat równoramienny
Zad6,8
Trzeci bok a wynosi: