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olga nikolaevna [1]
3 years ago
9

If sin theta =1/4, theta in quadrant II, find the exact value of cos[theta +pi/6]

Mathematics
1 answer:
Mashcka [7]3 years ago
6 0
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)
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