Question

Am repostat exercitiile!Ajutor va rog frumos cineva!​

Answer 1

Răspuns:

4.

MN=16 , NP=30cm

sim M+sinP-tgM=?

--------------------------------

Aflii MPcu Pitagora

MP²=MN²+NP²

16²+30²=256 +900=1156

MP=√1156=34

sinM=NP/MP=30/34=15/17

sinP=MN/MP=16/34=8/17

tg M=NP/NM=30/16=15/8

sinM+sinP-tgM=15/17+8/17-15/8=23/17-15/8=

5.ABC=triunghi

<A=90

sin B=4/5

----------------------------

tgB=?

sinB=AC/BC

sin²B=AC²/BC²

cosB=AB/Bc

cos²B=AB²/BC²

Observi ca

sin²B+cos²B=AC²/BC²+AB²/BC²=(AC²+BC²)/BC²=BC²/BC²=1=>

(4/5)²+cos²B=1

cos²B=1-16/25

cos²B=9/25

cosB=√9/25=3/5

tgB=(4/5)/(3/5)

tgB=4/3

Explicație pas cu pas: