Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
4101	Find the Reference Angle	-105 degrees	$- 105 °$
4102	Find the Reference Angle	220	$220$
4103	Find the Reference Angle	230	$230$
4104	Find the Reference Angle	-225	$- 225$
4105	Find the Exact Value	sec(270)	$\sec (270)$
4106	Find the Reference Angle	-2	$- 2$
4107	Find the Reference Angle	15	$15$
4108	Find the Reference Angle	165	$165$
4109	Find the Reference Angle	-160	$- 160$
4110	Find the Reference Angle	420	$420$
4111	Find the Reference Angle	420 degrees	$420 °$
4112	Find the Reference Angle	447	$447$
4113	Find the Reference Angle	-45 degrees	$- 45 °$
4114	Find the Reference Angle	-30	$- 30$
4115	Find the Reference Angle	-110 degrees	$- 110 °$
4116	Find the Reference Angle	315 degrees	$315 °$
4117	Find the Exact Value	sec(-300 degrees )	$\sec (- 300 °)$
4118	Find the Exact Value	sin(2*pi/3)	$\sin (2 \cdot \frac{π}{3})$
4119	Find the Reference Angle	285	$285$
4120	Find the Reference Angle	250	$250$
4121	Find the Complement	(3pi)/8	$\frac{3 π}{8}$
4122	Find the Complement	3	$3$
4123	Find the Complement	0.5	$0.5$
4124	Find the Complement	(5pi)/12	$\frac{5 π}{12}$
4125	Find the Complement	150 degrees	$150 °$
4126	Find the Supplement	50 degrees	$50 °$
4127	Find the Supplement	(11pi)/12	$\frac{11 π}{12}$
4128	Find the Supplement	(5pi)/12	$\frac{5 π}{12}$
4129	Find the Supplement	(7pi)/4	$\frac{7 π}{4}$
4130	Find the Supplement	pi/10	$\frac{π}{10}$
4131	Find the Reference Angle	70	$70$
4132	Find the Reference Angle	90 degrees	$90 °$
4133	Find the Reference Angle	-60	$- 60$
4134	Find the Reference Angle	6	$6$
4135	Find the Reference Angle	cos(120)	$\cos (120)$
4136	Find the Reference Angle	cos(75)	$\cos (75)$
4137	Find the Reference Angle	tan(405)	$\tan (405)$
4138	Verify the Identity	(cos(a-b))/(cos(a)sin(b))=tan(a)+cot(b)	$\frac{\cos (a - b)}{\cos (a) \sin (b)} = \tan (a) + \cot (b)$
4139	Verify the Identity	1/(1-cos(x))+1/(1+cos(x))=2csc(x)^2	$\frac{1}{1 - \cos (x)} + \frac{1}{1 + \cos (x)} = 2 \csc^{2} (x)$
4140	Verify the Identity	(1+cos(x))/(1-cos(x))-(1-cos(x))/(1+cos(x))=4cot(x)csc(x)	$\frac{1 + \cos (x)}{1 - \cos (x)} - \frac{1 - \cos (x)}{1 + \cos (x)} = 4 \cot (x) \csc (x)$
4141	Verify the Identity	1/(sec(x)tan(x))=csc(x)-sin(x)	$\frac{1}{\sec (x) \tan (x)} = \csc (x) - \sin (x)$
4142	Verify the Identity	(1-cos(x))/(sin(x))=(sin(x))/(1+cos(x))	$\frac{1 - \cos (x)}{\sin (x)} = \frac{\sin (x)}{1 + \cos (x)}$
4143	Verify the Identity	(1-cos(x))/(sin(x))=csc(x)-cot(x)	$\frac{1 - \cos (x)}{\sin (x)} = \csc (x) - \cot (x)$
4144	Verify the Identity	(sec(x)-1)(sec(x)+1)=tan(x)^2	$(\sec (x) - 1) (\sec (x) + 1) = \tan^{2} (x)$
4145	Verify the Identity	(5sin(x)+5cos(x))^2=25+25sin(2x)	${(5 \sin (x) + 5 \cos (x))}^{2} = 25 + 25 \sin (2 x)$
4146	Verify the Identity	(sin(x)+cos(x))^2=1+2sin(x)cos(x)	${(\sin (x) + \cos (x))}^{2} = 1 + 2 \sin (x) \cos (x)$
4147	Verify the Identity	(tan(x)*sin(x))/(sec(x)^2-1)=cos(x)	$\frac{\tan (x) \cdot \sin (x)}{\sec^{2} (x) - 1} = \cos (x)$
4148	Verify the Identity	(cot(x)^2)/(csc(x))=csc(x)-sin(x)	$\frac{\cot^{2} (x)}{\csc (x)} = \csc (x) - \sin (x)$
4149	Verify the Identity	(tan(x)^2cos(x))/(2sec(x))=1/2*sin(x)^2	$\frac{\tan^{2} (x) \cos (x)}{2 \sec (x)} = \frac{1}{2} \cdot \sin^{2} (x)$
4150	Verify the Identity	(sec(x)^2)/(tan(x))=sec(x)csc(x)	$\frac{\sec^{2} (x)}{\tan (x)} = \sec (x) \csc (x)$
4151	Verify the Identity	cos(x)+sin(x)tan(x)=sec(x)	$\cos (x) + \sin (x) \tan (x) = \sec (x)$
4152	Verify the Identity	csc(2x)=(csc(x))/(2cos(x))	$\csc (2 x) = \frac{\csc (x)}{2 \cos (x)}$
4153	Verify the Identity	csc(x)(2sin(x)- square root of 2)=0	$\csc (x) (2 \sin (x) - \sqrt{2}) = 0$
4154	Verify the Identity	cot(pi/2-x)=tan(x)	$\cot (\frac{π}{2} - x) = \tan (x)$
4155	Verify the Identity	cos(x+y)cos(x-y)=cos(x)^2-sin(y)^2	$\cos (x + y) \cos (x - y) = \cos^{2} (x) - \sin^{2} (y)$
4156	Verify the Identity	cos(x)cot(x)+sin(x)=csc(x)	$\cos (x) \cot (x) + \sin (x) = \csc (x)$
4157	Verify the Identity	cos(x)-(cos(x))/(1-tan(x))=(sin(x)cos(x))/(sin(x)-cos(x))	$\cos (x) - \frac{\cos (x)}{1 - \tan (x)} = \frac{\sin (x) \cos (x)}{\sin (x) - \cos (x)}$
4158	Verify the Identity	(sec(x))/(tan(x))-(tan(x))/(sec(x))=cos(x)cot(x)	$\frac{\sec (x)}{\tan (x)} - \frac{\tan (x)}{\sec (x)} = \cos (x) \cot (x)$
4159	Verify the Identity	(sin(3x))/(sin(x)cos(x))=4cos(x)-sec(x)	$\frac{\sin (3 x)}{\sin (x) \cos (x)} = 4 \cos (x) - \sec (x)$
4160	Verify the Identity	csc(x)^2(1-cos(x)^2)=1	$\csc^{2} (x) (1 - \cos^{2} (x)) = 1$
4161	Verify the Identity	(csc(x))/(sin(x))-(cot(x))/(tan(x))=1	$\frac{\csc (x)}{\sin (x)} - \frac{\cot (x)}{\tan (x)} = 1$
4162	Verify the Identity	cot(x)^2-cos(x)^2=cot(x)^2cos(x)^2	$\cot^{2} (x) - \cos^{2} (x) = \cot^{2} (x) \cos^{2} (x)$
4163	Verify the Identity	cos(x)^4-sin(x)^4=1-2sin(x)^2	$\cos^{4} (x) - \sin^{4} (x) = 1 - 2 \sin^{2} (x)$
4164	Verify the Identity	tan(2x)^2+sin(2x)^2+cos(2x)^2=sec(2x)^2	$\tan^{2} (2 x) + \sin^{2} (2 x) + \cos^{2} (2 x) = \sec^{2} (2 x)$
4165	Verify the Identity	(tan(x)-1)/(tan(x)+1)=(1-cot(x))/(1+cot(x))	$\frac{\tan (x) - 1}{\tan (x) + 1} = \frac{1 - \cot (x)}{1 + \cot (x)}$
4166	Verify the Identity	13sec(x)sin(x)=13cot(x)tan(x)^2	$13 \sec (x) \sin (x) = 13 \cot (x) \tan^{2} (x)$
4167	Verify the Identity	(tan(A))/(sec(A))=sin(A)	$\frac{\tan (A)}{\sec (A)} = \sin (A)$
4168	Find the Exact Value	29/(tan(12))	$\frac{29}{\tan (12)}$
4169	Verify the Identity	sin(t)tan(t)=(1-cos(t)^2)/(cos(t))	$\sin (t) \tan (t) = \frac{1 - \cos^{2} (t)}{\cos (t)}$
4170	Verify the Identity	sin(x)*sec(x)=tan(x)	$\sin (x) \cdot \sec (x) = \tan (x)$
4171	Verify the Identity	sin(3x)=-1	$\sin (3 x) = - 1$
4172	Verify the Identity	sin(pi/2-x)tan(x)=sin(x)	$\sin (\frac{π}{2} - x) \tan (x) = \sin (x)$
4173	Verify the Identity	sin(x)sec(x)cot(x)=1	$\sin (x) \sec (x) \cot (x) = 1$
4174	Verify the Identity	sin(2x)+sin(x)=0	$\sin (2 x) + \sin (x) = 0$
4175	Verify the Identity	sec(y)+tan(y)=(cos(y))/(1-sin(y))	$\sec (y) + \tan (y) = \frac{\cos (y)}{1 - \sin (y)}$
4176	Verify the Identity	sin(x+2pi)=sin(x)	$\sin (x + 2 π) = \sin (x)$
4177	Verify the Identity	tan(x/2)=csc(x)-cot(x)	$\tan (\frac{x}{2}) = \csc (x) - \cot (x)$
4178	Verify the Identity	tan(x)(csc(x)-sin(x))=cos(x)	$\tan (x) (\csc (x) - \sin (x)) = \cos (x)$
4179	Verify the Identity	tan(2pi-x)=-tan(x)	$\tan (2 π - x) = - \tan (x)$
4180	Verify the Identity	tan(x)+sec(x)=(cos(x))/(1-sin(x))	$\tan (x) + \sec (x) = \frac{\cos (x)}{1 - \sin (x)}$
4181	Verify the Identity	tan(x)cos(x)csc(x)=1	$\tan (x) \cos (x) \csc (x) = 1$
4182	Verify the Identity	tan(x-pi)=tan(x)	$\tan (x - π) = \tan (x)$
4183	Find the Exact Value	arcsin(1/5)	$\arcsin (\frac{1}{5})$
4184	Find the Exact Value	arcsin(sin((2pi)/3))	$\arcsin (\sin (\frac{2 π}{3}))$
4185	Find the Exact Value	arcsin(sin((4pi)/9))	$\arcsin (\sin (\frac{4 π}{9}))$
4186	Find the Exact Value	cos(165)	$\cos (165)$
4187	Find the Exact Value	cos(165 degrees )	$\cos (165 °)$
4188	Find the Exact Value	arccos(-0.546)	$\arccos (- 0.546)$
4189	Find the Exact Value	arccos(0.56)	$\arccos (0.56)$
4190	Find the Exact Value	arccos(1/3)	$\arccos (\frac{1}{3})$
4191	Find the Exact Value	arccos(pi/3)	$\arccos (\frac{π}{3})$
4192	Find the Exact Value	arccos(cos(pi/3))	$\arccos (\cos (\frac{π}{3}))$
4193	Find the Exact Value	arccos(sin(pi/3))	$\arccos (\sin (\frac{π}{3}))$
4194	Find the Exact Value	cos(3/4)	$\cos (\frac{3}{4})$
4195	Find the Exact Value	cos(-3/4)	$\cos (- \frac{3}{4})$
4196	Find the Exact Value	cos((25pi)/3)	$\cos (\frac{25 π}{3})$
4197	Find the Exact Value	cos((23pi)/12)	$\cos (\frac{23 π}{12})$
4198	Find the Exact Value	cos(2/3*pi)	$\cos (\frac{2}{3} \cdot π)$
4199	Find the Exact Value	cos(2/5)	$\cos (\frac{2}{5})$
4200	Find the Exact Value	cos((16pi)/3)	$\cos (\frac{16 π}{3})$