Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
5901	Verify the Identity	(tan(x)^2+1)(cos(x)^2-1)=-tan(x)^2	$(\tan^{2} (x) + 1) (\cos^{2} (x) - 1) = - \tan^{2} (x)$
5902	Verify the Identity	(1-cos(x))/(sin(x))+(sin(x))/(1-cos(x))=2csc(x)	$\frac{1 - \cos (x)}{\sin (x)} + \frac{\sin (x)}{1 - \cos (x)} = 2 \csc (x)$
5903	Verify the Identity	(1+sin(x))/(1-sin(x))-(1-sin(x))/(1+sin(x))=4tan(x)sec(x)	$\frac{1 + \sin (x)}{1 - \sin (x)} - \frac{1 - \sin (x)}{1 + \sin (x)} = 4 \tan (x) \sec (x)$
5904	Verify the Identity	1/(1-sin(a))+1/(1+sin(a))=2sec(a)^2	$\frac{1}{1 - \sin (a)} + \frac{1}{1 + \sin (a)} = 2 \sec^{2} (a)$
5905	Verify the Identity	1/(csc(x)-cot(x))=csc(x)+cot(x)	$\frac{1}{\csc (x) - \cot (x)} = \csc (x) + \cot (x)$
5906	Verify the Identity	(cos(4x)-cos(2x))/(2*sin(3x))=-sin(x)	$\frac{\cos (4 x) - \cos (2 x)}{2 \cdot \sin (3 x)} = - \sin (x)$
5907	Verify the Identity	(1-sec(x))/(tan(x))-(tan(x))/(1-sec(x))=2cot(x)	$\frac{1 - \sec (x)}{\tan (x)} - \frac{\tan (x)}{1 - \sec (x)} = 2 \cot (x)$
5908	Verify the Identity	(cos(a-b))/(cos(a)cos(b))=1+tan(a)tan(b)	$\frac{\cos (a - b)}{\cos (a) \cos (b)} = 1 + \tan (a) \tan (b)$
5909	Verify the Identity	(cos(x)-cos(y))/(sin(x)+sin(y))+(sin(x)-sin(y))/(cos(x)+cos(y))=0	$\frac{\cos (x) - \cos (y)}{\sin (x) + \sin (y)} + \frac{\sin (x) - \sin (y)}{\cos (x) + \cos (y)} = 0$
5910	Verify the Identity	(cos(x)sec(x))/(tan(x))=cot(x)	$\frac{\cos (x) \sec (x)}{\tan (x)} = \cot (x)$
5911	Find the Reference Angle	tan(105)	$\tan (105)$
5912	Find the Reference Angle	tan(210)	$\tan (210)$
5913	Find the Reference Angle	570 degrees	$570 °$
5914	Find the Reference Angle	cos(45)	$\cos (45)$
5915	Find the Reference Angle	cos(165)	$\cos (165)$
5916	Find the Reference Angle	cos(195)	$\cos (195)$
5917	Find the Reference Angle	cos(210)	$\cos (210)$
5918	Find the Reference Angle	600 degrees	$600 °$
5919	Find the Reference Angle	585 degrees	$585 °$
5920	Find the Reference Angle	630	$630$
5921	Find the Reference Angle	640	$640$
5922	Find the Reference Angle	65 degrees	$65 °$
5923	Find the Reference Angle	810 degrees	$810 °$
5924	Find the Reference Angle	690	$690$
5925	Find the Reference Angle	75	$75$
5926	Find the Supplement	pi/8	$\frac{π}{8}$
5927	Find the Supplement	0.5	$0.5$
5928	Find the Supplement	120 degrees	$120 °$
5929	Find the Supplement	1.5	$1.5$
5930	Find the Supplement	(3pi)/10	$\frac{3 π}{10}$
5931	Find the Supplement	(3pi)/2	$\frac{3 π}{2}$
5932	Find the Supplement	225 degrees	$225 °$
5933	Find the Supplement	25 degrees	$25 °$
5934	Find the Supplement	120	$120$
5935	Find the Supplement	15 degrees	$15 °$
5936	Find the Complement	150	$150$
5937	Find the Complement	15	$15$
5938	Find the Complement	pi/5	$\frac{π}{5}$
5939	Find the Complement	pi/10	$\frac{π}{10}$
5940	Find the Complement	(5pi)/11	$\frac{5 π}{11}$
5941	Find the Complement	(7pi)/8	$\frac{7 π}{8}$
5942	Find the Complement	(9pi)/10	$\frac{9 π}{10}$
5943	Find the Complement	(7pi)/6	$\frac{7 π}{6}$
5944	Find the Complement	(11pi)/4	$\frac{11 π}{4}$
5945	Find the Complement	(17pi)/5	$\frac{17 π}{5}$
5946	Find the Complement	-(11pi)/6	$- \frac{11 π}{6}$
5947	Find the Complement	25 degrees	$25 °$
5948	Find the Complement	60 degrees	$60 °$
5949	Find the Complement	65 degrees	$65 °$
5950	Find the Complement	cos(150)	$\cos (150)$
5951	Find the Complement	65	$65$
5952	Find the Complement	75	$75$
5953	Find the Complement	80 degrees	$80 °$
5954	Find the Reference Angle	250 degrees	$250 °$
5955	Find the Reference Angle	280	$280$
5956	Find the Reference Angle	280 degrees	$280 °$
5957	Find the Reference Angle	260 degrees	$260 °$
5958	Find the Reference Angle	360 degrees	$360 °$
5959	Find the Reference Angle	-330	$- 330$
5960	Find the Reference Angle	32 degrees	$32 °$
5961	Find the Reference Angle	480	$480$
5962	Find the Reference Angle	500	$500$
5963	Find the Reference Angle	540 degrees	$540 °$
5964	Find the Reference Angle	-420	$- 420$
5965	Find the Reference Angle	405	$405$
5966	Find the Reference Angle	-405 degrees	$- 405 °$
5967	Find the Reference Angle	405 degrees	$405 °$
5968	Find the Reference Angle	-175 degrees	$- 175 °$
5969	Find the Reference Angle	180	$180$
5970	Find the Reference Angle	190	$190$
5971	Find the Reference Angle	-165	$- 165$
5972	Find the Reference Angle	160	$160$
5973	Find the Reference Angle	-160 degrees	$- 160 °$
5974	Find the Reference Angle	-195	$- 195$
5975	Find the Reference Angle	205 degrees	$205 °$
5976	Find the Reference Angle	230 degrees	$230 °$
5977	Find the Reference Angle	215 degrees	$215 °$
5978	Find the Reference Angle	-108 degrees	$- 108 °$
5979	Find the Reference Angle	-100 degrees	$- 100 °$
5980	Find the Reference Angle	1000	$1000$
5981	Find the Reference Angle	-110	$- 110$
5982	Find the Reference Angle	110 degrees	$110 °$
5983	Find the Reference Angle	115	$115$
5984	Find the Reference Angle	125	$125$
5985	Find the Reference Angle	-125	$- 125$
5986	Find the Reference Angle	-130 degrees	$- 130 °$
5987	Find the Reference Angle	130	$130$
5988	Find the Reference Angle	-(29pi)/4	$- \frac{29 π}{4}$
5989	Find the Reference Angle	(34pi)/9	$\frac{34 π}{9}$
5990	Find the Reference Angle	(35pi)/6	$\frac{35 π}{6}$
5991	Find the Reference Angle	(19pi)/7	$\frac{19 π}{7}$
5992	Find the Reference Angle	(18pi)/5	$\frac{18 π}{5}$
5993	Find the Reference Angle	-(20pi)/3	$- \frac{20 π}{3}$
5994	Find the Reference Angle	-(25pi)/18	$- \frac{25 π}{18}$
5995	Find the Reference Angle	(25pi)/4	$\frac{25 π}{4}$
5996	Find the Reference Angle	(25pi)/9	$\frac{25 π}{9}$
5997	Find the Reference Angle	(5pi)/12	$\frac{5 π}{12}$
5998	Find the Reference Angle	(23pi)/7	$\frac{23 π}{7}$
5999	Find the Reference Angle	-0.6pi	$- 0.6 π$
6000	Find the Reference Angle	(8pi)/9	$\frac{8 π}{9}$