Using cos addition formula:
use x for theta
cos(x+π/6)=cosx*cos(π/6)-sinx*sin(π/6)
sinx=1/4
cosx=√15/4
cos(π/6)=√3/2
sin(π/6)=1/2
cos(x+π/6)=(√15/4*√3/2)-(1/4*1/2)
cos(x+π/6)=(√45/8)-(1/8 )
cos(x+π/6)=(√45-1)/8)
Answer:
uhmm...
Step-by-step explanation:
Answer:
14/15
Step-by-step explanation:
You are adding fractions, so you need a common denominator.
The least common denominator (LCD) for 3 and 5 is 3 × 5 = 15.
Both denominators must become 15.
3/5 + 1/3 =
= 3/5 × 3/3 + 1/3 × 5/5
= 9/15 + 5/15
= 14/15
Answer: 14/15