f(x) = sin^4(x+pi/6) + cos^4 (x+pi/6) is a) not a periodic fn b) a periodic fn with period 2pi c) a periodic fn with period pi d) a periodic fn with period pi/2 2. For the hyperbola 9x^2-16y^2-18x+32y-151=0 a) one of the directrix is x =21/5 b) length of latus rectum = 9/2 c) focii are (6,1) & (-4,1) d) ecentricity is 5/4
help........
any1 help me........
ishaan cann u
sebentar yahhhh tak solve dulu sabar ya jang
noras please type in english
waduh soryy je aku ndak iso boso londho je..iki boso jowo lho..indonesia made in punya lah
please type in english noras
hmmmmmmm
1) \[f(x)=\sin^4(x+\pi/6)+\cos^4(x+\pi/6)=\]\[=\sin^4(x+\pi/6)+2\sin^2(x+\pi/6)\cos^2(x+\pi/6)+\cos^4(x+\pi/6)-\]\[-2\sin^2(x+\pi/6)\cos^2(x+\pi/6)=(\sin^2(x+\pi/6)+\cos^2(x+\pi/6))^2-\]\[-2\sin^2(x+\pi/6)\cos^2(x+\pi/6)=1-\frac{1}{2}\sin^2(2x+\pi/3)=\] \[=1-\frac{1}{2}\frac{1-\cos{(4x+2\pi/3)}}{2}=\frac{3}{4}+\frac{1}{4} \cos{(4x+2\pi/3)}\] period is \[T=2\pi/4=\pi/2\]
2) \[9x^2-16y^2-18x+32y-151=0\] \[9x^2-18x+9-16y^2+32y-16-144=0\] \[9(x-1)^2-16(y-1)^2=144\] \[\frac{(x-1)^2}{4^2}-\frac{(y-1)^2}{3^2}=1\]
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