Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
8001	Find the Exact Value	19/(cos(61))	$\frac{19}{\cos (61)}$
8002	Find the Exact Value	10/(tan(30))	$\frac{10}{\tan (30)}$
8003	Find the Exact Value	1/(tan(60))	$\frac{1}{\tan (60)}$
8004	Find the Exact Value	(112.0sin(46))/(sin(100.6))	$\frac{112 \sin (46)}{\sin (100.6)}$
8005	Find the Exact Value	130/(tan(66.8))	$\frac{130}{\tan (66.8)}$
8006	Find the Exact Value	(2tan((7pi)/12))/(1-tan((7pi)/12)^2)	$\frac{2 \tan (\frac{7 π}{12})}{1 - \tan^{2} (\frac{7 π}{12})}$
8007	Find the Exact Value	(2tan(15/8))/(1-tan(15/8)^2)	$\frac{2 \tan (\frac{15}{8})}{1 - \tan^{2} (\frac{15}{8})}$
8008	Find the Exact Value	30/(sin(30))	$\frac{30}{\sin (30)}$
8009	Find the Exact Value	(4.8sin(5.40))/(sin(8.15))	$\frac{4.8 \sin (5.4)}{\sin (8.15)}$
8010	Find the Exact Value	4/(cos(45))	$\frac{4}{\cos (45)}$
8011	Find the Exact Value	(4-cot(30))/4	$\frac{4 - \cot (30)}{4}$
8012	Find the Exact Value	5/(sin(15))	$\frac{5}{\sin (15)}$
8013	Verify the Identity	sin(t)cos(t)(tan(t)+cot(t))=1	$\sin (t) \cos (t) (\tan (t) + \cot (t)) = 1$
8014	Verify the Identity	sin(3x)=1	$\sin (3 x) = 1$
8015	Verify the Identity	sin(3x)=cos(5x)	$\sin (3 x) = \cos (5 x)$
8016	Verify the Identity	sin(x)tan(x)=1/(cos(x))-cos(x)	$\sin (x) \tan (x) = \frac{1}{\cos (x)} - \cos (x)$
8017	Verify the Identity	sin(2x)cos(x)+cos(2x)sin(x)=0	$\sin (2 x) \cos (x) + \cos (2 x) \sin (x) = 0$
8018	Verify the Identity	sin(2x)=2cos(x)^2	$\sin (2 x) = 2 \cos^{2} (x)$
8019	Verify the Identity	sin(pi/2-x)=sin(pi/2+x)	$\sin (\frac{π}{2} - x) = \sin (\frac{π}{2} + x)$
8020	Verify the Identity	sin(2t)-tan(t)=tan(t)cos(2t)	$\sin (2 t) - \tan (t) = \tan (t) \cos (2 t)$
8021	Verify the Identity	csc(x)=(cot(x)+tan(x))/(sec(x))	$\csc (x) = \frac{\cot (x) + \tan (x)}{\sec (x)}$
8022	Verify the Identity	sec(pi/2-u)=csc(u)	$\sec (\frac{π}{2} - u) = \csc (u)$
8023	Verify the Identity	sec(x)+tan(x)=1/(sec(x)-tan(x))	$\sec (x) + \tan (x) = \frac{1}{\sec (x) - \tan (x)}$
8024	Verify the Identity	sec(x)=1/(cos(x))	$\sec (x) = \frac{1}{\cos (x)}$
8025	Verify the Identity	sec(2x)=(sec(x)^2)/(2-sec(x)^2)	$\sec (2 x) = \frac{\sec^{2} (x)}{2 - \sec^{2} (x)}$
8026	Verify the Identity	sec(x)*cot(x)=csc(x)	$\sec (x) \cdot \cot (x) = \csc (x)$
8027	Verify the Identity	sin(x)csc(x)-sin(x)^2=cos(x)^2	$\sin (x) \csc (x) - \sin^{2} (x) = \cos^{2} (x)$
8028	Verify the Identity	sin(x)=1	$\sin (x) = 1$
8029	Verify the Identity	sin(x)cos(x)=cot(x)	$\sin (x) \cos (x) = \cot (x)$
8030	Verify the Identity	sin(x+(pi/2))+sin((pi/2)-x)=2cos(x)	$\sin (x + (\frac{π}{2})) + \sin ((\frac{π}{2}) - x) = 2 \cos (x)$
8031	Verify the Identity	sin(x-(3pi)/2)=cos(x)	$\sin (x - \frac{3 π}{2}) = \cos (x)$
8032	Verify the Identity	sin(x)cos(x-y)-cos(x)sin(x-y)=sin(y)	$\sin (x) \cos (x - y) - \cos (x) \sin (x - y) = \sin (y)$
8033	Verify the Identity	sin(x)tan(x)=(cos(x))/(cot(x)^2)	$\sin (x) \tan (x) = \frac{\cos (x)}{\cot^{2} (x)}$
8034	Verify the Identity	sin(x)=( square root of 2)/2	$\sin (x) = \frac{\sqrt{2}}{2}$
8035	Verify the Identity	sin(x)+ square root of 2=-sin(x)	$\sin (x) + \sqrt{2} = - \sin (x)$
8036	Verify the Identity	tan(x)cot(x)-cos(x)^2=sin(x)^2	$\tan (x) \cot (x) - \cos^{2} (x) = \sin^{2} (x)$
8037	Verify the Identity	tan(x)=cot(x)	$\tan (x) = \cot (x)$
8038	Verify the Identity	tan(pi/2-x)tan(x)=1	$\tan (\frac{π}{2} - x) \tan (x) = 1$
8039	Verify the Identity	tan(pi/2-u)=cot(u)	$\tan (\frac{π}{2} - u) = \cot (u)$
8040	Verify the Identity	tan(2x)=(2tan(x))/(1-tan(x)^2)	$\tan (2 x) = \frac{2 \tan (x)}{1 - \tan^{2} (x)}$
8041	Verify the Identity	tan(pi+x)=tan(x)	$\tan (π + x) = \tan (x)$
8042	Verify the Identity	tan(t)+(cos(t))/(1+sin(t))=sec(t)	$\tan (t) + \frac{\cos (t)}{1 + \sin (t)} = \sec (t)$
8043	Verify the Identity	tan(45+a)-tan(45-a)=2tan(2a)	$\tan (45 + a) - \tan (45 - a) = 2 \tan (2 a)$
8044	Verify the Identity	tan(x)+cot(x)=sec(x)cos(x)	$\tan (x) + \cot (x) = \sec (x) \cos (x)$
8045	Verify the Identity	tan(x)+2cos(x)csc(x)=sec(x)csc(x)+cot(x)	$\tan (x) + 2 \cos (x) \csc (x) = \sec (x) \csc (x) + \cot (x)$
8046	Verify the Identity	tan(x)-3cot(x)=0	$\tan (x) - 3 \cot (x) = 0$
8047	Verify the Identity	y=2cos(3x)	$y = 2 \cos (3 x)$
8048	Find the Exact Value	arcsin(1/4)	$\arcsin (\frac{1}{4})$
8049	Find the Exact Value	arcsin(-1/4)	$\arcsin (- \frac{1}{4})$
8050	Find the Exact Value	arcsin(-2/5)	$\arcsin (- \frac{2}{5})$
8051	Find the Exact Value	arcsin(8/17)	$\arcsin (\frac{8}{17})$
8052	Find the Exact Value	arcsec(9)	$arcsec (9)$
8053	Find the Exact Value	arcsec(csc(pi/2))	$arcsec (\csc (\frac{π}{2}))$
8054	Find the Exact Value	arcsin(sin((7pi)/3))	$\arcsin (\sin (\frac{7 π}{3}))$
8055	Find the Exact Value	arcsin(cos((5pi)/6))	$\arcsin (\cos (\frac{5 π}{6}))$
8056	Find the Exact Value	arcsin(75)	$\arcsin (75)$
8057	Find the Exact Value	arcsin(6)	$\arcsin (6)$
8058	Find the Exact Value	arcsin(13*(sin(95))/17)	$\arcsin (13 \cdot \frac{\sin (95)}{17})$
8059	Find the Exact Value	arcsin(pi/3)	$\arcsin (\frac{π}{3})$
8060	Find the Exact Value	arccos(cos((15pi)/2))	$\arccos (\cos (\frac{15 π}{2}))$
8061	Find the Exact Value	arccos(52)	$\arccos (52)$
8062	Find the Exact Value	arccos(-0.5)	$\arccos (- 0.5)$
8063	Find the Exact Value	arccos(12/13)	$\arccos (\frac{12}{13})$
8064	Find the Exact Value	arccos(24/25)	$\arccos (\frac{24}{25})$
8065	Find the Exact Value	arccos(-1/4)	$\arccos (- \frac{1}{4})$
8066	Find the Exact Value	arccos(1/5)	$\arccos (\frac{1}{5})$
8067	Find the Exact Value	arccos(pi/2)	$\arccos (\frac{π}{2})$
8068	Find the Exact Value	arccos(5/13)	$\arccos (\frac{5}{13})$
8069	Find the Exact Value	arccos(-0.23)	$\arccos (- 0.23)$
8070	Find the Exact Value	arccos(-0.2)	$\arccos (- 0.2)$
8071	Find the Exact Value	arccos(0.4)	$\arccos (0.4)$
8072	Find the Exact Value	arccos(7/8)	$\arccos (\frac{7}{8})$
8073	Find the Exact Value	arccot(tan((5pi)/6))	$arccot (\tan (\frac{5 π}{6}))$
8074	Find the Exact Value	arcsec(0)	$arcsec (0)$
8075	Find the Exact Value	arcsec(1/2)	$arcsec (\frac{1}{2})$
8076	Find the Exact Value	arccos(cos(pi/6))	$\arccos (\cos (\frac{π}{6}))$
8077	Find the Exact Value	arccos(cos((5pi)/4))	$\arccos (\cos (\frac{5 π}{4}))$
8078	Find the Exact Value	arccos(sin((7pi)/6))	$\arccos (\sin (\frac{7 π}{6}))$
8079	Find the Exact Value	arccos(sin((4pi)/3))	$\arccos (\sin (\frac{4 π}{3}))$
8080	Find the Exact Value	arccos(cos(pi))	$\arccos (\cos (π))$
8081	Find the Exact Value	arccos(sin((11pi)/6))	$\arccos (\sin (\frac{11 π}{6}))$
8082	Find the Exact Value	arccos(cos((7pi)/4))	$\arccos (\cos (\frac{7 π}{4}))$
8083	Find the Exact Value	arccos(cos((5pi)/2))	$\arccos (\cos (\frac{5 π}{2}))$
8084	Find the Exact Value	cos((2pi)/6)	$\cos (\frac{2 π}{6})$
8085	Find the Exact Value	cos(-3/2*pi)	$\cos (- \frac{3}{2} \cdot π)$
8086	Find the Exact Value	cos(3/10)	$\cos (\frac{3}{10})$
8087	Find the Exact Value	cos((2pi)/9)	$\cos (\frac{2 π}{9})$
8088	Find the Exact Value	cos((23pi)/2)	$\cos (\frac{23 π}{2})$
8089	Find the Exact Value	cos(2/7)	$\cos (\frac{2}{7})$
8090	Find the Exact Value	cos((-19pi)/6)	$\cos (\frac{- 19 π}{6})$
8091	Find the Exact Value	cos((19pi)/3)	$\cos (\frac{19 π}{3})$
8092	Find the Exact Value	cos(16/34)	$\cos (\frac{16}{34})$
8093	Find the Exact Value	cos((15pi)/2)	$\cos (\frac{15 π}{2})$
8094	Find the Exact Value	cos((-13pi)/12)	$\cos (\frac{- 13 π}{12})$
8095	Find the Exact Value	cos((11pi)/8)	$\cos (\frac{11 π}{8})$
8096	Find the Exact Value	cos((13pi)/2)	$\cos (\frac{13 π}{2})$
8097	Find the Exact Value	cos(11/61)	$\cos (\frac{11}{61})$
8098	Find the Exact Value	cos(1/6*pi)	$\cos (\frac{1}{6} \cdot π)$
8099	Find the Exact Value	cos(1/9)	$\cos (\frac{1}{9})$
8100	Find the Exact Value	cos(1.77/3.93)	$\cos (\frac{1.77}{3.93})$