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Problemas populares de Trigonometría

1/(1.5)=(sin(30))/(sin(x)),x<90	\frac{1}{1.5}=\frac{\sin(30^{\circ\:})}{\sin(x)},x<90^{\circ\:}
tan(A)= 8/15	\tan(A)=\frac{8}{15}
tan^2(θ)=sec^2(θ)+1	\tan^{2}(θ)=\sec^{2}(θ)+1
cos(2B)= 21/35 ,cos(B)	\cos(2B)=\frac{21}{35},\cos(B)
2cos^4(x)+3sin^2(x)-2=0	2\cos^{4}(x)+3\sin^{2}(x)-2=0
cos^2(x)+4sin^2(x/2)=1	\cos^{2}(x)+4\sin^{2}(\frac{x}{2})=1
4cos(x)=sin^2(x)+1	4\cos(x)=\sin^{2}(x)+1
cos^2(x)+sin^2(x)-2sin(x)=0,0<= x<= 2pi	\cos^{2}(x)+\sin^{2}(x)-2\sin(x)=0,0\le\:x\le\:2π
cot(A)= 24/7	\cot(A)=\frac{24}{7}
2sqrt(3)sec(θ)+4=0	2\sqrt{3}\sec(θ)+4=0
sqrt(3)sin(x)=2	\sqrt{3}\sin(x)=2
(sin(74))/8 =(sin(a))/4	\frac{\sin(74^{\circ\:})}{8}=\frac{\sin(a)}{4}
sin(x)=sin(x-pi/2)	\sin(x)=\sin(x-\frac{π}{2})
tan(x)= pi/3	\tan(x)=\frac{π}{3}
-7tan(a)-14=tan(a)-6	-7\tan(a)-14=\tan(a)-6
cos(x)=-0.58	\cos(x)=-0.58
tan^4(x)-4tan^2(x)+3=0	\tan^{4}(x)-4\tan^{2}(x)+3=0
sin(2x)= 21/25	\sin(2x)=\frac{21}{25}
cot^2(x)cos(x)=cot^2(x)	\cot^{2}(x)\cos(x)=\cot^{2}(x)
4sin^2(θ)-8cos(θ)+1=0,0<= θ<2pi	4\sin^{2}(θ)-8\cos(θ)+1=0,0\le\:θ<2π
4sin(A)+3=2sin(A)+4	4\sin(A)+3=2\sin(A)+4
0=-18cos(3x)	0=-18\cos(3x)
cos^2(2x)-3cos(2x)=0	\cos^{2}(2x)-3\cos(2x)=0
csc^2(x)=sin(x)	\csc^{2}(x)=\sin(x)
cos(θ)= 4/7 ,tan(θ)<0	\cos(θ)=\frac{4}{7},\tan(θ)<0
tan(θ)= 4/2	\tan(θ)=\frac{4}{2}
e^{sin(x)}-e^{-sin(x)}=2	e^{\sin(x)}-e^{-\sin(x)}=2
cos(x)sec(x)cot^2(x)=csc^2(x)	\cos(x)\cdot\:\sec(x)\cdot\:\cot^{2}(x)=\csc^{2}(x)
2sin(3x)+2sin(x)=0	2\sin(3x)+2\sin(x)=0
(cos(x)-1)(sqrt(3)cot(x)+1)=0	(\cos(x)-1)(\sqrt{3}\cot(x)+1)=0
4cot(x)=sqrt(3)csc(x)	4\cot(x)=\sqrt{3}\csc(x)
solvefor x,sin(2x)-cos(x)=0	solvefor\:x,\sin(2x)-\cos(x)=0
sin(θ)= 7/15	\sin(θ)=\frac{7}{15}
tan^2(y)+3=2sec^2(y)	\tan^{2}(y)+3=2\sec^{2}(y)
tan(b+15)*cot(2b-5)=1	\tan(b+15)\cdot\:\cot(2b-5)=1
cos(x)=(sqrt(5))/3	\cos(x)=\frac{\sqrt{5}}{3}
cos(x)=-7/8	\cos(x)=-\frac{7}{8}
tan(x)=-3/5	\tan(x)=-\frac{3}{5}
sin(x)=-cos(2x)	\sin(x)=-\cos(2x)
csc(pi/(24)x)=1	\csc(\frac{π}{24}x)=1
cos(x)= 6/18	\cos(x)=\frac{6}{18}
4cos(2x)+10sin(x)-7=0	4\cos(2x)+10\sin(x)-7=0
sin^2(x)+sin^2(x)=cos^2(x)	\sin^{2}(x)+\sin^{2}(x)=\cos^{2}(x)
2sin(2t)=0	2\sin(2t)=0
cos(x)-0.5=0	\cos(x)-0.5=0
cos(x)= 6/14	\cos(x)=\frac{6}{14}
solvefor x,sec(x)=2	solvefor\:x,\sec(x)=2
sin(θ)=sin(-2/3 pi)	\sin(θ)=\sin(-\frac{2}{3}π)
cot(a)=-7/24	\cot(a)=-\frac{7}{24}
2sin^2(a)=-sin(a)	2\sin^{2}(a)=-\sin(a)
sec(θ)=sqrt(5)	\sec(θ)=\sqrt{5}
tan(w)-3tan(w)=0	\tan(w)-3\tan(w)=0
tan(φ)=-1/(sqrt(2))	\tan(φ)=-\frac{1}{\sqrt{2}}
cos(θ)= 1/(sqrt(10))	\cos(θ)=\frac{1}{\sqrt{10}}
2=2sin(x)	2=2\sin(x)
cos^2(θ)+2cos(θ)+1=0,0<= θ<= 2pi	\cos^{2}(θ)+2\cos(θ)+1=0,0\le\:θ\le\:2π
cot(θ)-sqrt(3)=0,0<= θ<= 2pi	\cot(θ)-\sqrt{3}=0,0\le\:θ\le\:2π
sqrt(2)=sec(θ)	\sqrt{2}=\sec(θ)
sin(x)= 1/8 ,sin(2x)	\sin(x)=\frac{1}{8},\sin(2x)
solvefor x,csc(x)=2	solvefor\:x,\csc(x)=2
3/2 sec(x)=3	\frac{3}{2}\sec(x)=3
9(cos(a))^2-9(sin(a))^2=0	9(\cos(a))^{2}-9(\sin(a))^{2}=0
1-2cos^2(x)=0,0<= x<= 2pi	1-2\cos^{2}(x)=0,0\le\:x\le\:2π
sqrt(2)sin(x-20)+1=0	\sqrt{2}\sin(x-20^{\circ\:})+1=0
9.2cos(x)=6.3	9.2\cos(x)=6.3
sec(x)+3tan(x)=1+2tan(x)	\sec(x)+3\tan(x)=1+2\tan(x)
2sin(3x)=0	2\sin(3x)=0
solvefor x,cos(x)-sin(x+y)=0	solvefor\:x,\cos(x)-\sin(x+y)=0
sin(x)=-cos(4x)	\sin(x)=-\cos(4x)
cos(θ)= 2/(3sqrt(38))	\cos(θ)=\frac{2}{3\sqrt{38}}
sec(x)cos(x)=sin(x)	\sec(x)\cos(x)=\sin(x)
tan(θ)-1-sqrt(2)=sec(θ)	\tan(θ)-1-\sqrt{2}=\sec(θ)
3cos(2x)+4cos(4x)-5=0	3\cos(2x)+4\cos(4x)-5=0
cos(2θ)= 20/29	\cos(2θ)=\frac{20}{29}
-6sin(3x)=0	-6\sin(3x)=0
sin(x)=(sqrt(2))/4	\sin(x)=\frac{\sqrt{2}}{4}
2tan(2x)-6=0	2\tan(2x)-6=0
8sin(θ)+15cos(θ)=18	8\sin(θ)+15\cos(θ)=18
(30)/(sin(A))=(34.4)/(sin(62))	\frac{30}{\sin(A)}=\frac{34.4}{\sin(62^{\circ\:})}
-sqrt(2)sin(x)=1	-\sqrt{2}\sin(x)=1
-5sin(x)=-2cos^2(x)+4,0<= x<= 2pi	-5\sin(x)=-2\cos^{2}(x)+4,0\le\:x\le\:2π
6=sin(pi/4 x)+5	6=\sin(\frac{π}{4}x)+5
2cos(θ)+1=0,0<= θ<= 2pi	2\cos(θ)+1=0,0\le\:θ\le\:2π
solvefor t,4.6=0.106cos(4.36t)	solvefor\:t,4.6=0.106\cos(4.36t)
sin(x)= 23/24	\sin(x)=\frac{23}{24}
5-5cos(x)=4sin^2(x)	5-5\cos(x)=4\sin^{2}(x)
3cot^2(x)-14csc(x)-2=0	3\cot^{2}(x)-14\csc(x)-2=0
250=1005cos(x)	250=100\cdot\:5\cdot\:\cos(x)
cos(θ)=-sqrt(2/5)	\cos(θ)=-\sqrt{\frac{2}{5}}
tan(x)= 1/(sin(2x)),0<= x<= pi	\tan(x)=\frac{1}{\sin(2x)},0\le\:x\le\:π
cos(x)=9054	\cos(x)=9054
1+cos(2x)=2sin^2(x)	1+\cos(2x)=2\sin^{2}(x)
6sin^2(θ/2)=cos^2(θ)+5	6\sin^{2}(\frac{θ}{2})=\cos^{2}(θ)+5
cos(x)= 1/4-sin^2(x)	\cos(x)=\frac{1}{4}-\sin^{2}(x)
2sin^2(x)-3sin(x)cos(x)+cos^2(x)=0	2\sin^{2}(x)-3\sin(x)\cos(x)+\cos^{2}(x)=0
3cos^2(x)=sin(x)	3\cos^{2}(x)=\sin(x)
sin(b)= 3/5	\sin(b)=\frac{3}{5}
cos(4+x)=0.45	\cos(4+x)=0.45
(tan(θ)-2)(16sin^2(θ)-1)=0	(\tan(θ)-2)(16\sin^{2}(θ)-1)=0
csc(θ)=1.9	\csc(θ)=1.9

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