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Problemas populares de Trigonometría

sin^2(x)=((sqrt(3)))/2	\sin^{2}(x)=\frac{(\sqrt{3})}{2}
sin(x)cos(x)=2sin(2x)	\sin(x)\cos(x)=2\sin(2x)
solvefor n,sin(x)+sin(13 n/2-x)=1	solvefor\:n,\sin(x)+\sin(13\frac{n}{2}-x)=1
5cos^2(a)-2sin(a)-2=0	5\cos^{2}(a)-2\sin(a)-2=0
tan^2(a)=((2tan(a)))/((1-tan^2(a)))	\tan^{2}(a)=\frac{(2\tan(a))}{(1-\tan^{2}(a))}
12cos^2(x)-6=sin(x)	12\cos^{2}(x)-6=\sin(x)
cos^2(a)= 2/3	\cos^{2}(a)=\frac{2}{3}
sin(2x)=-0.848055484	\sin(2x)=-0.848055484
2+cos^2(x)=3cos(x)	2+\cos^{2}(x)=3\cos(x)
cos(x+40)=0.85	\cos(x+40^{\circ\:})=0.85
sin^2(a)=1-cos(2a)	\sin^{2}(a)=1-\cos(2a)
cos^4(x)=cos^2(x)	\cos^{4}(x)=\cos^{2}(x)
tan(x)=2+tan^3(x)	\tan(x)=2+\tan^{3}(x)
2*sin(a)=sin(3a)	2\cdot\:\sin(a)=\sin(3a)
(cos(x)+5sin(x))/(2-3)=0	\frac{\cos(x)+5\sin(x)}{2-3}=0
sin(y)= 2/3	\sin(y)=\frac{2}{3}
sin(a)=0.6625	\sin(a)=0.6625
6-4cos^2(x)-9sin(x)=0	6-4\cos^{2}(x)-9\sin(x)=0
cos^2(x)+cos^2(3x)=1	\cos^{2}(x)+\cos^{2}(3x)=1
tan(x)= 16/3	\tan(x)=\frac{16}{3}
1/((sec(a)-tan(a)))=sec(a)+tan(x)	\frac{1}{(\sec(a)-\tan(a))}=\sec(a)+\tan(x)
-2=tan^2(x)	-2=\tan^{2}(x)
3sin^2(x)-1=cos^4(x)	3\sin^{2}(x)-1=\cos^{4}(x)
sin(3*x)=cos(x)	\sin(3\cdot\:x)=\cos(x)
sin^{22}(x)=sin^2(x)	\sin^{22}(x)=\sin^{2}(x)
sin^2(2x)+cos^2(x)-1=0	\sin^{2}(2x)+\cos^{2}(x)-1=0
cos(8t)-5sin(8t)=0	\cos(8t)-5\sin(8t)=0
cos^2(x)+3sin(x)+1=0	\cos^{2}(x)+3\sin(x)+1=0
(a^{0.2})/((cos^2(x))-cos^2(x)-1)=0	\frac{a^{0.2}}{(\cos^{2}(x))-\cos^{2}(x)-1}=0
((2cos(x))/(2-1))((sin(x))/(2+2))=0	(\frac{2\cos(x)}{2-1})(\frac{\sin(x)}{2+2})=0
4cos^2(x)+17sin(x)=8	4\cos^{2}(x)+17\sin(x)=8
cos^4(x)=1-8sin^2(x)cos^2(x)	\cos^{4}(x)=1-8\sin^{2}(x)\cos^{2}(x)
tan(x)= 10/18	\tan(x)=\frac{10}{18}
((1+cot^2(x)))/(cos^2(x))=cot^2(x)	\frac{(1+\cot^{2}(x))}{\cos^{2}(x)}=\cot^{2}(x)
sin(2p+1)=-1	\sin(2p+1)=-1
solvefor y,a*z=5sin(2y)	solvefor\:y,a\cdot\:z=5\sin(2y)
sin^3(x)=sin^2(x)	\sin^{3}(x)=\sin^{2}(x)
2sec^2(a)+tan^2(a)=3	2\sec^{2}(a)+\tan^{2}(a)=3
3cos^2(x)+4cos(x)+1=0	3\cos^{2}(x)+4\cos(x)+1=0
cos^5(x)= 1/2	\cos^{5}(x)=\frac{1}{2}
(cos^{2022}(x))/((sin^{2022)(x)+cos^{2022}(x))}=1	\frac{\cos^{2022}(x)}{(\sin^{2022}(x)+\cos^{2022}(x))}=1
5sec(x)-4cos(x)=8	5\sec(x)-4\cos(x)=8
sin^3(x)=-1	\sin^{3}(x)=-1
solvefor x,sin^2(x)=((1-cos(y)))/2	solvefor\:x,\sin^{2}(x)=\frac{(1-\cos(y))}{2}
sin(x)+sin^2(x)+cos(x)+cos^2(x)=0	\sin(x)+\sin^{2}(x)+\cos(x)+\cos^{2}(x)=0
4cos^2(x)-4sin(x)-1=0	4\cos^{2}(x)-4\sin(x)-1=0
cos^2(x)+1=-2cos(x)	\cos^{2}(x)+1=-2\cos(x)
sin^3(x)-2sin(x)=0	\sin^{3}(x)-2\sin(x)=0
2cos^3(x)=cot^3(x)	2\cos^{3}(x)=\cot^{3}(x)
1/((sec^2(a)))+1/((cos^2(a)))=1	\frac{1}{(\sec^{2}(a))}+\frac{1}{(\cos^{2}(a))}=1
(1-cos(a))(1+cos(a))=tan(a)sin(a)	(1-\cos(a))(1+\cos(a))=\tan(a)\sin(a)
tan^2(x)+1/6+(tan(1))/3 =0	\tan^{2}(x)+\frac{1}{6}+\frac{\tan(1)}{3}=0
-2cos^2(x)-5sin(x)+5=0	-2\cos^{2}(x)-5\sin(x)+5=0
3-4sin^3(x)=sin^3(x)	3-4\sin^{3}(x)=\sin^{3}(x)
cos^4(x)= 3/8+1/2 cos^2(x)+1/8 cos^4(x)	\cos^{4}(x)=\frac{3}{8}+\frac{1}{2}\cos^{2}(x)+\frac{1}{8}\cos^{4}(x)
sin(2x)=5cos(x)	\sin(2x)=5\cos(x)
sin(a)=0.4848	\sin(a)=0.4848
sin^2(x)=2cos^4(x)	\sin^{2}(x)=2\cos^{4}(x)
sin^3(x)+cos^3(x)=(1-1)/(2sin^2(x))	\sin^{3}(x)+\cos^{3}(x)=\frac{1-1}{2\sin^{2}(x)}
solvefor i,xsin^2(x)=cos^2(x)	solvefor\:i,x\sin^{2}(x)=\cos^{2}(x)
solvefor c,sin^2(x)+12=12(sin(x)-cos(x))	solvefor\:c,\sin^{2}(x)+12=12(\sin(x)-\cos(x))
solvefor c,sin(x)-5cos(x)=sin^2(x)+5cos^2(x)	solvefor\:c,\sin(x)-5\cos(x)=\sin^{2}(x)+5\cos^{2}(x)
solvefor i,sin(x)+sin^2(x)+cos^3(x)=0	solvefor\:i,\sin(x)+\sin^{2}(x)+\cos^{3}(x)=0
y=2sin(cos(+0))	y=2\sin(\cos(+0))
solvefor x,y=x+2arctan(p)	solvefor\:x,y=x+2\arctan(p)
solvefor x,z=sin(x)+cos^3(y)	solvefor\:x,z=\sin(x)+\cos^{3}(y)
r=1-sin(0)	r=1-\sin(0)
solvefor x,sin^2(y)+cos(x)y=k	solvefor\:x,\sin^{2}(y)+\cos(x)y=k
solvefor c,cos(x)-cos^2(x)=sin^3(x)	solvefor\:c,\cos(x)-\cos^{2}(x)=\sin^{3}(x)
sin(60)= x/(32)	\sin(60^{\circ\:})=\frac{x}{32}
solvefor i,sin^2(x)=sin(x^2)	solvefor\:i,\sin^{2}(x)=\sin(x^{2})
solvefor c,sin^3(x)-cos^3(x)=sin(x)+cos(x)	solvefor\:c,\sin^{3}(x)-\cos^{3}(x)=\sin(x)+\cos(x)
solvefor c,cos^2(x)+cos(x)=sin(x)	solvefor\:c,\cos^{2}(x)+\cos(x)=\sin(x)
sin(30)=(x/(81))	\sin(30^{\circ\:})=(\frac{x}{81})
solvefor x,y=2xcos^2(y)	solvefor\:x,y=2\cdot\:x\cdot\:\cos^{2}(y)
solvefor c,sin^3(x)+cos^3(x)=4cos(x)-2sin(x)	solvefor\:c,\sin^{3}(x)+\cos^{3}(x)=4\cos(x)-2\sin(x)
solvefor c,3(sin(x)+cos(x))-sin^2(x)-1=0	solvefor\:c,3(\sin(x)+\cos(x))-\sin^{2}(x)-1=0
solvefor t,cot(x)cot^2(x)=-1	solvefor\:t,\cot(x)\cot^{2}(x)=-1
solvefor i,1-2sin^2(45-a/2)=sin(a)	solvefor\:i,1-2\sin^{2}(45^{\circ\:}-\frac{a}{2})=\sin(a)
solvefor c,sin^2(x)+sin(x)-cos(x)+1/2 =0	solvefor\:c,\sin^{2}(x)+\sin(x)-\cos(x)+\frac{1}{2}=0
solvefor c,cos^4(s)-sin^4(x)+1+cos(x)=0	solvefor\:c,\cos^{4}(s)-\sin^{4}(x)+1+\cos(x)=0
solvefor c,cot^2(x)=cos(x)+sin(x)	solvefor\:c,\cot^{2}(x)=\cos(x)+\sin(x)
solvefor y,y=sin(3t)u(t)*u(t)	solvefor\:y,y=\sin(3t)u(t)\cdot\:u(t)
solvefor t,cot(a*)(1-sec(2a))+tan^2(a)=1	solvefor\:t,\cot(a\cdot\:)(1-\sec(2a))+\tan^{2}(a)=1
y=7cos^2(-3)	y=7\cos^{2}(-3)
cos(220)= a/3	\cos(220^{\circ\:})=\frac{a}{3}
solvefor c,1f=3cos(x)-4sec(x)+3	solvefor\:c,1f=3\cos(x)-4\sec(x)+3
y=cos^{215}(0)-sin^{215}(0)	y=\cos^{215}(0)-\sin^{215}(0)
sin(60)=(x/(81))	\sin(60^{\circ\:})=(\frac{x}{81})
d=7.2sec(*sin(30-20))	d=7.2\sec(\cdot\:\sin(30^{\circ\:}-20^{\circ\:}))
a/(sin(44))= 9/(sin(66))	\frac{a}{\sin(44^{\circ\:})}=\frac{9}{\sin(66^{\circ\:})}
solvefor c,sec(45+a/2)sec(45-a/2)=2sec(a)	solvefor\:c,\sec(45^{\circ\:}+\frac{a}{2})\sec(45^{\circ\:}-\frac{a}{2})=2\sec(a)
cos^2(x)=1+cos^2(x)	\cos^{2}(x)=1+\cos^{2}(x)
solvefor c,sin^3(x)+sin(x)cos(x)+cos^3(x)=1	solvefor\:c,\sin^{3}(x)+\sin(x)\cos(x)+\cos^{3}(x)=1
solvefor t,tan(x)tan^2(x)=1	solvefor\:t,\tan(x)\tan^{2}(x)=1
solvefor t,tan(a)+tan(b)=2tan(a+b)	solvefor\:t,\tan(a)+\tan(b)=2\tan(a+b)
solvefor t,tan(b)=sin(a)cos(a/2)+cos^2(a)	solvefor\:t,\tan(b)=\sin(a)\cos(\frac{a}{2})+\cos^{2}(a)
solvefor c,cos^2(x)-4sin(x)+2cos(x)-3=0	solvefor\:c,\cos^{2}(x)-4\sin(x)+2\cos(x)-3=0
solvefor f,(a+f)=a*cosh(l/((2a)))	solvefor\:f,(a+f)=a\cdot\:\cosh(\frac{l}{(2a)})
solvefor t,tan(45+a/2)=sec(a)+tan(a)	solvefor\:t,\tan(45^{\circ\:}+\frac{a}{2})=\sec(a)+\tan(a)

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