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Popular Trigonometry Problems

tan(θ)=-3,sin(θ)<0	\tan(θ)=-3,\sin(θ)<0
solvefor x,sec(x)+sqrt(2)=0	solvefor\:x,\sec(x)+\sqrt{2}=0
cos(2x)=0.92	\cos(2x)=0.92
cos(4x)+1=3sin(2x),-pi/2 <= x<= pi/2	\cos(4x)+1=3\sin(2x),-\frac{π}{2}\le\:x\le\:\frac{π}{2}
3-6cos(x+pi/3)=0	3-6\cos(x+\frac{π}{3})=0
sin(7.07t)=0.5	\sin(7.07t)=0.5
tan(x)= 1/(sqrt(3)),0<= x<2pi	\tan(x)=\frac{1}{\sqrt{3}},0\le\:x<2π
-2sin(2x)=2pi	-2\sin(2x)=2π
arccos(θ)= 17/18	\arccos(θ)=\frac{17}{18}
cos(θ)=-2/9	\cos(θ)=-\frac{2}{9}
solvefor y=sin(x),x	solvefor\:y=\sin(x),x
5sin(y)cos(y)=2	5\sin(y)\cos(y)=2
sin^2(x)=36	\sin^{2}(x)=36
sin^5(3x^2+2)=0.35	\sin^{5}(3x^{2}+2)=0.35
cos(θ)-sin(-θ)=0	\cos(θ)-\sin(-θ)=0
cos^2(3x)= 1/4	\cos^{2}(3x)=\frac{1}{4}
cos(7x-30)sec(x)=1	\cos(7x-30)\sec(x)=1
sin(θ)= 45/53	\sin(θ)=\frac{45}{53}
2-sin^2(θ)+2sin(θ)=0	2-\sin^{2}(θ)+2\sin(θ)=0
tan(θ)=(37.3)/(36.46)	\tan(θ)=\frac{37.3}{36.46}
sin(θ)cos(θ)=csc(θ)sec(θ)	\sin(θ)\cos(θ)=\csc(θ)\sec(θ)
solvefor a,x=cos(a)	solvefor\:a,x=\cos(a)
sin(1/2kr(sqrt(1+(a^2)/(r^2)))-1)=pi	\sin(\frac{1}{2}\cdot\:k\cdot\:r(\sqrt{1+\frac{a^{2}}{r^{2}}})-1)=π
3sin(x)=2sec(x)tan(x)	3\sin(x)=2\sec(x)\tan(x)
12sin(x)+5cos(x)=0	12\sin(x)+5\cos(x)=0
sin(x)=2sin(2x)	\sin(x)=2\sin(2x)
9sin(x-0.5pi)+8=0	9\sin(x-0.5π)+8=0
sec(-135)-cot(x)=2	\sec(-135^{\circ\:})-\cot(x)=2
csc(x-30)=2	\csc(x-30^{\circ\:})=2
-cos^2(x)+4cos(x)=0	-\cos^{2}(x)+4\cos(x)=0
sin^2(x)+5cos^2(x)=3	\sin^{2}(x)+5\cos^{2}(x)=3
sin(x-pi/2)+cos(x+pi/2)=0	\sin(x-\frac{π}{2})+\cos(x+\frac{π}{2})=0
(sqrt(3))/2 =sin(arcsin(0)+c)	\frac{\sqrt{3}}{2}=\sin(\arcsin(0)+c)
1+2sin^2(x)-3sin(x)=0	1+2\sin^{2}(x)-3\sin(x)=0
4tan^2(x)=-sqrt(3)tan(x)+tan^2(x)	4\tan^{2}(x)=-\sqrt{3}\tan(x)+\tan^{2}(x)
1/2 = 1/2*cos(4.2t+pi/6)	\frac{1}{2}=\frac{1}{2}\cdot\:\cos(4.2t+\frac{π}{6})
120=sqrt(83^2+75^2-28375*cos(x))	120=\sqrt{83^{2}+75^{2}-2\cdot\:83\cdot\:75\cdot\:\cos(x)}
cos(u)= 7/25	\cos(u)=\frac{7}{25}
sin(x)+cos(x)=1,0<= x<2pi	\sin(x)+\cos(x)=1,0\le\:x<2π
solvefor x,cos^2(x+y)=sin^2(x+y)	solvefor\:x,\cos^{2}(x+y)=\sin^{2}(x+y)
cot^2(x)+3cot(x)+2=cot(x)+1	\cot^{2}(x)+3\cot(x)+2=\cot(x)+1
a^2=b^2+c^2-2bc*cos(x)	a^{2}=b^{2}+c^{2}-2bc\cdot\:\cos(x)
3sin^2(X)-cos(X)=0	3\sin^{2}(X)-\cos(X)=0
4sin(θ)=csc(θ)	4\sin(θ)=\csc(θ)
-1/3 =sin(x)	-\frac{1}{3}=\sin(x)
6sin^2(a)+cos(2a)=2	6\sin^{2}(a)+\cos(2a)=2
cos^{(2)}(x)+sin(x)=1	\cos^{(2)}(x)+\sin(x)=1
sin(2q)=0	\sin(2q)=0
tan(x)= 218/75	\tan(x)=\frac{218}{75}
cos(x)-2+2=1	\cos(x)-2+2=1
-3+cos(2x)2=0	-3+\cos(2x)2=0
cos(θ)cos(3θ)-1=0	\cos(θ)\cos(3θ)-1=0
2tan(θ)sin(θ)-tan(θ)=0	2\tan(θ)\sin(θ)-\tan(θ)=0
sin(4x+pi/4)=1	\sin(4x+\frac{π}{4})=1
cos^2(x)-cos(x)=0,(0,2pi)	\cos^{2}(x)-\cos(x)=0,(0,2π)
csc(42)=sec(x)	\csc(42^{\circ\:})=\sec(x)
solvefor x,0=cos(x)+1+sin(x)	solvefor\:x,0=\cos(x)+1+\sin(x)
5sin(pi/4 x)=4	5\sin(\frac{π}{4}x)=4
1-sec^2(θ)=tan^2(θ)	1-\sec^{2}(θ)=\tan^{2}(θ)
6tan^2(x)=5sec(x)	6\tan^{2}(x)=5\sec(x)
solvefor x,cos^2(x)=0.5	solvefor\:x,\cos^{2}(x)=0.5
sin(x)=0.24,0<= x<2pi	\sin(x)=0.24,0\le\:x<2π
sec^2(θ)cot(θ)=8	\sec^{2}(θ)\cot(θ)=8
4+5sin(x)=1	4+5\sin(x)=1
120=23sin(pi/6 (x))+107	120=23\sin(\frac{π}{6}(x))+107
4sin(3θ)=2	4\sin(3θ)=2
cos(x)=cos(3x)+2sin(2x)	\cos(x)=\cos(3x)+2\sin(2x)
csc(x)(2sin(x)-sqrt(2))=0	\csc(x)(2\sin(x)-\sqrt{2})=0
(700)/(sin(90))=(236.3277)/(sin(θ))	\frac{700}{\sin(90^{\circ\:})}=\frac{236.3277}{\sin(θ)}
cos(x)+cos(2x)=-0.75	\cos(x)+\cos(2x)=-0.75
solvefor x,2y=sin(2x)	solvefor\:x,2y=\sin(2x)
-csc(θ)+5=cot(θ)+6	-\csc(θ)+5=\cot(θ)+6
sin(θ)-0.2*cos(θ)=0.11836	\sin(θ)-0.2\cdot\:\cos(θ)=0.11836
2sin^2(x)-3=cos(x)-2	2\sin^{2}(x)-3=\cos(x)-2
cos(x/2)=1-cos(x/2)	\cos(\frac{x}{2})=1-\cos(\frac{x}{2})
3=4-2sin(θ)	3=4-2\sin(θ)
sin(((t^2))/2)=-1	\sin(\frac{(t^{2})}{2})=-1
9sin^2(x)tan(x)=4tan(x)	9\sin^{2}(x)\tan(x)=4\tan(x)
cos^2(x)-3cos(x)=0	\cos^{2}(x)-3\cos(x)=0
-2cos(θ)=0	-2\cos(θ)=0
2cos^2(x)+15sin(x)=9	2\cos^{2}(x)+15\sin(x)=9
cot(θ)=1.413	\cot(θ)=1.413
arccos(x)+arccos(2x)=arccos(1/2)	\arccos(x)+\arccos(2x)=\arccos(\frac{1}{2})
tan(θ)=(2sqrt(3))/3 sin(θ),0<= θ<= 2pi	\tan(θ)=\frac{2\sqrt{3}}{3}\sin(θ),0\le\:θ\le\:2π
solvefor x,cos(x+y)=-cos(x)	solvefor\:x,\cos(x+y)=-\cos(x)
4+2tan^2(x)=5tan^2(x)+3	4+2\tan^{2}(x)=5\tan^{2}(x)+3
sqrt(3)sin(x)+cos(x)=4	\sqrt{3}\sin(x)+\cos(x)=4
solvefor θ,sec(θ)=2	solvefor\:θ,\sec(θ)=2
2cos(4θ)=0	2\cos(4θ)=0
1032/3145 sin(4x)+2196/3145 cos(4x)=0	\frac{1032}{3145}\sin(4x)+\frac{2196}{3145}\cos(4x)=0
6-2sin(θ)-8sin^2(θ)=0	6-2\sin(θ)-8\sin^{2}(θ)=0
cos(2θ)=cos(3θ)	\cos(2θ)=\cos(3θ)
solvefor θ,2sin(θ)=1.5	solvefor\:θ,2\sin(θ)=1.5
cos(θ)=-2109	\cos(θ)=-2109
solvefor x,cos(x)(cos(x)-sin(x))=0	solvefor\:x,\cos(x)(\cos(x)-\sin(x))=0
sin(x)=0.72555	\sin(x)=0.72555
15=10sin(pi/(20)(x+10))+12	15=10\sin(\frac{π}{20}(x+10))+12
-cos(x)= 2/(sqrt(20))	-\cos(x)=\frac{2}{\sqrt{20}}
tan^2(x)+7=-10sec(x),0<x<2pi	\tan^{2}(x)+7=-10\sec(x),0<x<2π
tan(θ)= 14/11	\tan(θ)=\frac{14}{11}

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