Question

Calculati: arccos(tg 207 pi/4) Dau coroana pt cel mai bun raspuns!​

Answer 1

$\it tg\dfrac{207}{4}\pi=tg\Big(\dfrac{208}{4}\pi-\dfrac{\pi}{4}\Big)=tg(52\pi-\dfrac{\pi}{4}) =tg(-\dfrac{\pi}{4})=-1\\ \\ \\ Expresia\ din\ enun\c{\it t}\ devine:\\ \\ arccos(-1) =\pi$

Answer 2

Salut!

Vom incerca sa aflam valoarea tangentei:

tg 207 π/4=

tg(208π/4 - π/4)=

am facut asa pt ca sa ajung la valorile din primul cadran.

tg(52π-π/4)=

se scoate cei 52π ca sa ramana cei -π/4

tg(-π/4)=-1 (cum tgπ/4=1, acum e negativ)

arccos(-1)=180°

arccos(-1)=π

Succes!