Answer:
→ 4. 
→ 3. 
→ 1. 
→ 2. 
Step-by-step explanation:
You need to:
Factor out 2 from , then you get the equivalent expression:
this matches with OPTION 4
Factor out 2 from 
, then you get the equivalent expression:
this matches with OPTION 3
Make the subtraction for , then you get the equivalent expression:
this matches with OPTION 1
Factor out 2 from , then you get the equivalent expression:
this matches with OPTION 2
There are 2 way to solve this.
one using Pythagoras theorem and 2nd using trigonometry
so lets solve it by both
using Pythagoras theorem we know
base^2 + perpendicular^2 = hypotanes^2
6^2 + x^2 = 12^2
36 + x^2 = 144
x^2 = 144- 36 = 108
x = √(108) = √( 2×2×3×3×3)
= (2×3) √ (3) = 6 √3
so answer is option 2
bow lets use trigonometry
we know
sin theta = perpendicular / hypotanes
sin 60 = x /12
x = 12 × sin 60
we kNow sin 60 = √3/ 2
so
x = 12×√3 /2 = 6√3
Step-by-step explanation:
1 is your answer its law of trig identises
