Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
15001	Find the Supplement	325 degrees	$325 °$
15002	Find the Supplement	270 degrees	$270 °$
15003	Find the Supplement	30 degrees *45	$30 ° \cdot 45$
15004	Find the Supplement	53.26 degrees	$53.26 °$
15005	Find the Supplement	54.5	$54.5$
15006	Find the Supplement	8	$8$
15007	Find the Supplement	53 degrees	$53 °$
15008	Find the Supplement	93 degrees	$93 °$
15009	Find the Supplement	0.375	$0.375$
15010	Find the Reference Angle	tan(120)	$\tan (120)$
15011	Find the Supplement	10	$10$
15012	Find the Supplement	115	$115$
15013	Verify the Identity	(sin(b)^3+cos(b)^3)/(sin(b)+cos(b))=1-sin(b)cos(b)	$\frac{\sin^{3} (b) + \cos^{3} (b)}{\sin (b) + \cos (b)} = 1 - \sin (b) \cos (b)$
15014	Verify the Identity	(1+csc(x))/(sec(x))-cot(x)=cos(x)	$\frac{1 + \csc (x)}{\sec (x)} - \cot (x) = \cos (x)$
15015	Verify the Identity	(1+sin(2x))/(cos(2x))=(cos(x)+sin(x))/(cos(x)-sin(x))	$\frac{1 + \sin (2 x)}{\cos (2 x)} = \frac{\cos (x) + \sin (x)}{\cos (x) - \sin (x)}$
15016	Verify the Identity	1/(tan(b))+tan(b)=sec(b)csc(b)	$\frac{1}{\tan (b)} + \tan (b) = \sec (b) \csc (b)$
15017	Verify the Identity	(1+tan(x)^2)/(tan(x)^2)=csc(x)^2	$\frac{1 + \tan^{2} (x)}{\tan^{2} (x)} = \csc^{2} (x)$
15018	Verify the Identity	1/(cot(A)+cot(C))=(sin(A)*sin(C))/(sin(B))	$\frac{1}{\cot (A) + \cot (C)} = \frac{\sin (A) \cdot \sin (C)}{\sin (B)}$
15019	Verify the Identity	1/(sec(x)+tan(x))=(1-sin(x))/(cos(x))	$\frac{1}{\sec (x) + \tan (x)} = \frac{1 - \sin (x)}{\cos (x)}$
15020	Verify the Identity	1/(sec(x)-1)+1/(sec(x)+1)=2sec(x)cot(x)^2	$\frac{1}{\sec (x) - 1} + \frac{1}{\sec (x) + 1} = 2 \sec (x) \cot^{2} (x)$
15021	Verify the Identity	1/(sec(x)-tan(x))+1/(sec(x)+tan(x))=2/(cos(x))	$\frac{1}{\sec (x) - \tan (x)} + \frac{1}{\sec (x) + \tan (x)} = \frac{2}{\cos (x)}$
15022	Verify the Identity	(cos(a+b))/(sin(a)cos(B))=cot(a)-tan(B)	$\frac{\cos (a + b)}{\sin (a) \cos (B)} = \cot (a) - \tan (B)$
15023	Verify the Identity	(cos(2x-1))/(sin(2x))=-tan(x)	$\frac{\cos (2 x - 1)}{\sin (2 x)} = - \tan (x)$
15024	Verify the Identity	(cos(w))/(cos(w)+sin(w))=(cot(w))/(1+cot(w))	$\frac{\cos (w)}{\cos (w) + \sin (w)} = \frac{\cot (w)}{1 + \cot (w)}$
15025	Verify the Identity	(cos(x))/(1-sin(x))-tan(x)=1/(cos(x))	$\frac{\cos (x)}{1 - \sin (x)} - \tan (x) = \frac{1}{\cos (x)}$
15026	Verify the Identity	(cos(x)sec(x))/(cot(x))=tan(x)	$\frac{\cos (x) \sec (x)}{\cot (x)} = \tan (x)$
15027	Verify the Identity	(1-tan(a)tan(b))/(1+tan(a)tan(b))=(cos(a+b))/(cos(a-b))	$\frac{1 - \tan (a) \tan (b)}{1 + \tan (a) \tan (b)} = \frac{\cos (a + b)}{\cos (a - b)}$
15028	Verify the Identity	(3cos(x)+5sin(x)-5)/(cos(x)^2)=(3sin(x)-2)/(1+sin(x))	$\frac{3 \cos (x) + 5 \sin (x) - 5}{\cos^{2} (x)} = \frac{3 \sin (x) - 2}{1 + \sin (x)}$
15029	Verify the Identity	(2(tan(x)-cot(x)))/(tan(x)^2-cot(x)^2)=sin(2x)	$\frac{2 (\tan (x) - \cot (x))}{\tan^{2} (x) - \cot^{2} (x)} = \sin (2 x)$
15030	Verify the Identity	(2+tan(x)^2)/(sec(x)^2)-1=cos(x)^2	$\frac{2 + \tan^{2} (x)}{\sec^{2} (x)} - 1 = \cos^{2} (x)$
15031	Verify the Identity	(1-cos(t))/(sin(t))=(sin(t))/(1+cos(t))	$\frac{1 - \cos (t)}{\sin (t)} = \frac{\sin (t)}{1 + \cos (t)}$
15032	Verify the Identity	(4sec(x))/(csc(x))+(sin(x))/(cos(x))=5tan(x)	$\frac{4 \sec (x)}{\csc (x)} + \frac{\sin (x)}{\cos (x)} = 5 \tan (x)$
15033	Verify the Identity	(cot(x)-csc(x))(cos(x)+1)=-sin(x)	$(\cot (x) - \csc (x)) (\cos (x) + 1) = - \sin (x)$
15034	Verify the Identity	(1+sin(a))(1-sin(a))=cos(a)^2	$(1 + \sin (a)) (1 - \sin (a)) = \cos^{2} (a)$
15035	Verify the Identity	(sin(x)-1)(tan(x)+sec(x))=-cos(x)	$(\sin (x) - 1) (\tan (x) + \sec (x)) = - \cos (x)$
15036	Verify the Identity	(cos(x)+cos(y))^2+(sin(x)-sin(y))^2=2+2cos(x+y)	${(\cos (x) + \cos (y))}^{2} + {(\sin (x) - \sin (y))}^{2} = 2 + 2 \cos (x + y)$
15037	Find the Complement	tan(45)	$\tan (45)$
15038	Verify the Identity	((sin(x)+cos(x))^2)/(sin(x)^2-cos(x)^2)=(sin(x)^2-cos(x)^2)/((sin(x)-cos(x))^2)	$\frac{{(\sin (x) + \cos (x))}^{2}}{\sin^{2} (x) - \cos^{2} (x)} = \frac{\sin^{2} (x) - \cos^{2} (x)}{{(\sin (x) - \cos (x))}^{2}}$
15039	Verify the Identity	(cot(x)^3)/(csc(x))=cos(x)(csc(x)^2-1)	$\frac{\cot^{3} (x)}{\csc (x)} = \cos (x) (\csc^{2} (x) - 1)$
15040	Verify the Identity	(csc(x)^2-cot(x)^2)/(sec(x))=cos(x)	$\frac{\csc^{2} (x) - \cot^{2} (x)}{\sec (x)} = \cos (x)$
15041	Find the Complement	60	$60$
15042	Find the Complement	-40	$- 40$
15043	Find the Complement	-45 degrees	$- 45 °$
15044	Find the Complement	73	$73$
15045	Find the Complement	cos(-150)	$\cos (- 150)$
15046	Find the Complement	660 degrees	$660 °$
15047	Verify the Identity	((5(csc(x)^2+4csc(x)-1))/(cot(x)^2))=(5csc(x)-1)/(csc(x)-1)	$(\frac{5 (\csc^{2} (x) + 4 \csc (x) - 1)}{\cot^{2} (x)}) = \frac{5 \csc (x) - 1}{\csc (x) - 1}$
15048	Find the Complement	tan(75)	$\tan (75)$
15049	Verify the Identity	(sec(x)+1)(sec(x)-1)=tan(x)^2	$(\sec (x) + 1) (\sec (x) - 1) = \tan^{2} (x)$
15050	Find Amplitude, Period, and Phase Shift	y=3cos(x-pi/4)	$y = 3 \cos (x - \frac{π}{4})$
15051	Find Amplitude, Period, and Phase Shift	y=3cos(3x-pi/4)	$y = 3 \cos (3 x - \frac{π}{4})$
15052	Find Amplitude, Period, and Phase Shift	y=3cos(3x+pi/2)	$y = 3 \cos (3 x + \frac{π}{2})$
15053	Find Amplitude, Period, and Phase Shift	y=-3cos(4x+1/3*pi)	$y = - 3 \cos (4 x + \frac{1}{3} \cdot π)$
15054	Find Amplitude, Period, and Phase Shift	y=3cos(x-2)	$y = 3 \cos (x - 2)$
15055	Find Amplitude, Period, and Phase Shift	y=3cot(2x)	$y = 3 \cot (2 x)$
15056	Find Amplitude, Period, and Phase Shift	y=3cos(x-pi)	$y = 3 \cos (x - π)$
15057	Find Amplitude, Period, and Phase Shift	y=3cos(2x-pi/2)	$y = 3 \cos (2 x - \frac{π}{2})$
15058	Find Amplitude, Period, and Phase Shift	y=3cos(3x)	$y = 3 \cos (3 x)$
15059	Find Amplitude, Period, and Phase Shift	y=-3cos(2pix+4pi)	$y = - 3 \cos (2 π x + 4 π)$
15060	Find Amplitude, Period, and Phase Shift	y=3cos(2pix)	$y = 3 \cos (2 π x)$
15061	Find Amplitude, Period, and Phase Shift	y=2tan(pix)-2	$y = 2 \tan (π x) - 2$
15062	Find Amplitude, Period, and Phase Shift	y=3+2sin(3x+3)	$y = 3 + 2 \sin (3 x + 3)$
15063	Find Amplitude, Period, and Phase Shift	y=3cos((2x)/3-1/6)	$y = 3 \cos (\frac{2 x}{3} - \frac{1}{6})$
15064	Find Amplitude, Period, and Phase Shift	y=-3cos(x/3+(2pi)/3)	$y = - 3 \cos (\frac{x}{3} + \frac{2 π}{3})$
15065	Find Amplitude, Period, and Phase Shift	y=3cot(5x)	$y = 3 \cot (5 x)$
15066	Find Amplitude, Period, and Phase Shift	y=-3sec(x/2)	$y = - 3 \sec (\frac{x}{2})$
15067	Find Amplitude, Period, and Phase Shift	y=-3sin(2x-4)+9	$y = - 3 \sin (2 x - 4) + 9$
15068	Find Amplitude, Period, and Phase Shift	y=-3sin(2x-pi)+1	$y = - 3 \sin (2 x - π) + 1$
15069	Find Amplitude, Period, and Phase Shift	y=3sin(5x-pi/2)	$y = 3 \sin (5 x - \frac{π}{2})$
15070	Find Amplitude, Period, and Phase Shift	y=3sin(x-pi/2)	$y = 3 \sin (x - \frac{π}{2})$
15071	Find Amplitude, Period, and Phase Shift	y=3sin(4x-2pi)	$y = 3 \sin (4 x - 2 π)$
15072	Find Amplitude, Period, and Phase Shift	y=3sin(x+pi/2)+3	$y = 3 \sin (x + \frac{π}{2}) + 3$
15073	Find Amplitude, Period, and Phase Shift	y=4cos(1/2)x	$y = 4 \cos (\frac{1}{2}) x$
15074	Find Amplitude, Period, and Phase Shift	y=3tan(x/4)	$y = 3 \tan (\frac{x}{4})$
15075	Find Amplitude, Period, and Phase Shift	y=4cos(2/3x)	$y = 4 \cos (\frac{2}{3} x)$
15076	Find Amplitude, Period, and Phase Shift	y=4cos(x/2+3)-5	$y = 4 \cos (\frac{x}{2} + 3) - 5$
15077	Find Amplitude, Period, and Phase Shift	y=40cos(3pix+1)	$y = 40 \cos (3 π x + 1)$
15078	Find Amplitude, Period, and Phase Shift	y=3tan(2/3x-pi/6)	$y = 3 \tan (\frac{2}{3} x - \frac{π}{6})$
15079	Find Amplitude, Period, and Phase Shift	y=4csc(3pix-9)	$y = 4 \csc (3 π x - 9)$
15080	Find Amplitude, Period, and Phase Shift	y=-4sec(1/3x)	$y = - 4 \sec (\frac{1}{3} x)$
15081	Find Amplitude, Period, and Phase Shift	y=4cos(x+pi/4)+4	$y = 4 \cos (x + \frac{π}{4}) + 4$
15082	Find Amplitude, Period, and Phase Shift	y=4cot(3x)	$y = 4 \cot (3 x)$
15083	Find Amplitude, Period, and Phase Shift	y=-4cos(5x)	$y = - 4 \cos (5 x)$
15084	Find Amplitude, Period, and Phase Shift	y=4cos(6x+pi/2)	$y = 4 \cos (6 x + \frac{π}{2})$
15085	Find Amplitude, Period, and Phase Shift	y=4sin(1/3x-1/18*pi)	$y = 4 \sin (\frac{1}{3} x - \frac{1}{18} \cdot π)$
15086	Find Amplitude, Period, and Phase Shift	y=4sin(1/2x)	$y = 4 \sin (\frac{1}{2} x)$
15087	Find Amplitude, Period, and Phase Shift	y=4sec(2x)	$y = 4 \sec (2 x)$
15088	Find Amplitude, Period, and Phase Shift	y=4sec(x+pi/4)	$y = 4 \sec (x + \frac{π}{4})$
15089	Find Amplitude, Period, and Phase Shift	y=-4sin(4/3x)	$y = - 4 \sin (\frac{4}{3} x)$
15090	Find Amplitude, Period, and Phase Shift	y=4sin(x/2)	$y = 4 \sin (\frac{x}{2})$
15091	Find Amplitude, Period, and Phase Shift	y=4sin(2x+pi/3)-1	$y = 4 \sin (2 x + \frac{π}{3}) - 1$
15092	Find Amplitude, Period, and Phase Shift	y=-4sin((2x)/3)	$y = - 4 \sin (\frac{2 x}{3})$
15093	Find Amplitude, Period, and Phase Shift	y=4sin(x/4-120)	$y = 4 \sin (\frac{x}{4} - 120)$
15094	Find Amplitude, Period, and Phase Shift	y=4sin(1/2*(x-pi))	$y = 4 \sin (\frac{1}{2} \cdot (x - π))$
15095	Find Amplitude, Period, and Phase Shift	y=1sin(x-2pi)-1	$y = 1 \sin (x - 2 π) - 1$
15096	Find Amplitude, Period, and Phase Shift	y=10sin(1/4x)	$y = 10 \sin (\frac{1}{4} x)$
15097	Find Amplitude, Period, and Phase Shift	y=-2+3cos(2/3x-pi/3)	$y = - 2 + 3 \cos (\frac{2}{3} x - \frac{π}{3})$
15098	Find Amplitude, Period, and Phase Shift	y=2cos(1x-3)-3	$y = 2 \cos (1 x - 3) - 3$
15099	Find Amplitude, Period, and Phase Shift	y=-2cos(1/4x)	$y = - 2 \cos (\frac{1}{4} x)$
15100	Find Amplitude, Period, and Phase Shift	y=2cos(1/2x-pi/2)	$y = 2 \cos (\frac{1}{2} x - \frac{π}{2})$