Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
14501	Find the Exact Value	5sin(5)	$5 \sin (5)$
14502	Find the Exact Value	2sin(4/5)cos(3/5)	$2 \sin (\frac{4}{5}) \cos (\frac{3}{5})$
14503	Find the Exact Value	2sin(-3/5)cos(4/5)	$2 \sin (- \frac{3}{5}) \cos (\frac{4}{5})$
14504	Find the Exact Value	2sin(-7/25)cos(24/25)	$2 \sin (- \frac{7}{25}) \cos (\frac{24}{25})$
14505	Find the Exact Value	272sin(66)	$272 \sin (66)$
14506	Find the Exact Value	2cos((3pi)/4)	$2 \cos (\frac{3 π}{4})$
14507	Find the Exact Value	2cos(1)	$2 \cos (1)$
14508	Find the Exact Value	-2cos(-pi/2)	$- 2 \cos (- \frac{π}{2})$
14509	Find the Exact Value	2sin(3/5)cos(3/5)	$2 \sin (\frac{3}{5}) \cos (\frac{3}{5})$
14510	Find the Exact Value	2sin((10-50)/2)cos((10+50)/2)	$2 \sin (\frac{10 - 50}{2}) \cos (\frac{10 + 50}{2})$
14511	Find the Exact Value	2tan(1/2)	$2 \tan (\frac{1}{2})$
14512	Find the Exact Value	30cos(30)	$30 \cos (30)$
14513	Find the Exact Value	3cos(7/9)	$3 \cos (\frac{7}{9})$
14514	Find the Exact Value	3.8cos(40pi)*0.02	$3.8 \cos (40 π) \cdot 0.02$
14515	Find the Exact Value	35sin(54)	$35 \sin (54)$
14516	Find the Exact Value	2tan(pi/6)	$2 \tan (\frac{π}{6})$
14517	Find the Exact Value	4cos(80)	$4 \cos (80)$
14518	Find the Exact Value	4sin(36)	$4 \sin (36)$
14519	Find the Exact Value	4sin(90)	$4 \sin (90)$
14520	Find the Exact Value	5cos(32)	$5 \cos (32)$
14521	Find the Exact Value	8sin(10)	$8 \sin (10)$
14522	Find the Exact Value	arccos(-3/2)	$\arccos (- \frac{3}{2})$
14523	Find the Exact Value	arccos(3/4)	$\arccos (\frac{3}{4})$
14524	Find the Exact Value	arccos(7/12)	$\arccos (\frac{7}{12})$
14525	Find the Exact Value	-5cos(((3pi)/2)-pi/2)	$- 5 \cos ((\frac{3 π}{2}) - \frac{π}{2})$
14526	Find the Exact Value	6sin(pi/12)cos(pi/12)	$6 \sin (\frac{π}{12}) \cos (\frac{π}{12})$
14527	Find the Exact Value	8cos(5pi+(3pi)/2)	$8 \cos (5 π + \frac{3 π}{2})$
14528	Find the Exact Value	9cos(45)	$9 \cos (45)$
14529	Find the Exact Value	8sec(30)	$8 \sec (30)$
14530	Find the Exact Value	9sin(36)	$9 \sin (36)$
14531	Find the Exact Value	9sin(45)	$9 \sin (45)$
14532	Find the Exact Value	arccos(0.75)	$\arccos (0.75)$
14533	Find the Exact Value	arccos(0.324)	$\arccos (0.324)$
14534	Find the Exact Value	arccos(-0.41)	$\arccos (- 0.41)$
14535	Find the Exact Value	arccos(-0.58)	$\arccos (- 0.58)$
14536	Find the Exact Value	arccos(-0.62)	$\arccos (- 0.62)$
14537	Find the Exact Value	arccos(0.67)	$\arccos (0.67)$
14538	Find the Exact Value	arccos(77)	$\arccos (77)$
14539	Find the Exact Value	arccos(cos((-5pi)/3))	$\arccos (\cos (\frac{- 5 π}{3}))$
14540	Find the Exact Value	arcsec(sec(-pi/4))	$arcsec (\sec (- \frac{π}{4}))$
14541	Find the Exact Value	arcsin(-0.6)	$\arcsin (- 0.6)$
14542	Find the Exact Value	arcsin(0.95)	$\arcsin (0.95)$
14543	Find the Exact Value	arccsc(csc(-pi/4))	$arccsc (\csc (- \frac{π}{4}))$
14544	Find the Exact Value	arccsc(9)	$arccsc (9)$
14545	Verify the Identity	sin(a+b)sin(a-b)=sin(a)^2-sin(b)^2	$\sin (a + b) \sin (a - b) = \sin^{2} (a) - \sin^{2} (b)$
14546	Verify the Identity	sin(t)=cos(t)	$\sin (t) = \cos (t)$
14547	Verify the Identity	sin(4x)=( square root of 3)/2	$\sin (4 x) = \frac{\sqrt{3}}{2}$
14548	Verify the Identity	sin(A)csc(A)-sin(A)^2=cos(A)^2	$\sin (A) \csc (A) - \sin^{2} (A) = \cos^{2} (A)$
14549	Verify the Identity	sin(x)=cos(2x)-1	$\sin (x) = \cos (2 x) - 1$
14550	Verify the Identity	sin(x)=(cot(x))/(csc(x))	$\sin (x) = \frac{\cot (x)}{\csc (x)}$
14551	Verify the Identity	sin(x)cot(x)=sec(x)sin(x)^2	$\sin (x) \cot (x) = \sec (x) \sin^{2} (x)$
14552	Verify the Identity	sin(x)-1=cos(x)	$\sin (x) - 1 = \cos (x)$
14553	Verify the Identity	sin(x)cos(pi/7)-sin(pi/7)cos(x)=( square root of 2)/2	$\sin (x) \cos (\frac{π}{7}) - \sin (\frac{π}{7}) \cos (x) = \frac{\sqrt{2}}{2}$
14554	Verify the Identity	sin(x+y)cos(x-y)=(sin(x))/(sec(x))+(cos(y))/(csc(y))	$\sin (x + y) \cos (x - y) = \frac{\sin (x)}{\sec (x)} + \frac{\cos (y)}{\csc (y)}$
14555	Verify the Identity	tan(x)=5/3* square root of 2	$\tan (x) = \frac{5}{3} \cdot \sqrt{2}$
14556	Verify the Identity	tan(x)cos(x)+csc(x)sin(x)^2=2sin(x)	$\tan (x) \cos (x) + \csc (x) \sin^{2} (x) = 2 \sin (x)$
14557	Verify the Identity	tan(x)=csc(2x)-cot(2x)	$\tan (x) = \csc (2 x) - \cot (2 x)$
14558	Verify the Identity	tan(x)cos(x)csc(x)=1	$\tan (x) \cdot \cos (x) \cdot \csc (x) = 1$
14559	Verify the Identity	tan(u)(csc(u)-sin(u))=cos(u)	$\tan (u) (\csc (u) - \sin (u)) = \cos (u)$
14560	Verify the Identity	tan(x)(1-sin(x)^2)=1/2*sin(2x)	$\tan (x) (1 - \sin^{2} (x)) = \frac{1}{2} \cdot \sin (2 x)$
14561	Verify the Identity	tan(0)+cot(0)=1/(sin(0)cos(0))	$\tan (0) + \cot (0) = \frac{1}{\sin (0) \cos (0)}$
14562	Verify the Identity	tan(2x)-tan(x)=tan(x)sec(2x)	$\tan (2 x) - \tan (x) = \tan (x) \sec (2 x)$
14563	Verify the Identity	tan(b)sin(b)+cos(b)=sec(b)	$\tan (b) \sin (b) + \cos (b) = \sec (b)$
14564	Verify the Identity	tan(x/2)-sin(x)=0	$\tan (\frac{x}{2}) - \sin (x) = 0$
14565	Verify the Identity	tan(a/2)=(tan(a))/(sec(a+1))	$\tan (\frac{a}{2}) = \frac{\tan (a)}{\sec (a + 1)}$
14566	Verify the Identity	tan(-x)cos(x)=sin(x)	$\tan (- x) \cos (x) = \sin (x)$
14567	Verify the Identity	tan(x)cos(x+1)=(1+sec(x))/(csc(x))	$\tan (x) \cos (x + 1) = \frac{1 + \sec (x)}{\csc (x)}$
14568	Find the Exact Value	sin(pi/3)cos(pi/4)-sin(pi/4)cos(pi/3)	$\sin (\frac{π}{3}) \cos (\frac{π}{4}) - \sin (\frac{π}{4}) \cos (\frac{π}{3})$
14569	Find the Exact Value	(10(sin(153)))/14	$\frac{10 (\sin (153))}{14}$
14570	Find the Exact Value	1/(cos(40)^2)-1/(cot(40)^2)	$\frac{1}{\cos^{2} (40)} - \frac{1}{\cot^{2} (40)}$
14571	Verify the Identity	y=arcsin(0)	$y = \arcsin (0)$
14572	Find the Exact Value	((149,800,0*sin(18)))/57 , 960 , 0	$\frac{(149, 800, 0 \cdot \sin (18))}{57}$ , $960$ , $0$
14573	Find the Exact Value	(19tan(9)tan(3.5))/(tan(9)-tan(3.5))	$\frac{19 \tan (9) \tan (3.5)}{\tan (9) - \tan (3.5)}$
14574	Find the Exact Value	(21.6sin(60.9))/(sin(102.4))	$\frac{21.6 \sin (60.9)}{\sin (102.4)}$
14575	Find the Exact Value	25/(csc(30))	$\frac{25}{\csc (30)}$
14576	Find the Exact Value	29.3/(cos(28))	$\frac{29.3}{\cos (28)}$
14577	Find the Exact Value	20/(sin(45))	$\frac{20}{\sin (45)}$
14578	Find the Exact Value	(2tan(4/3))/(1-tan(4/3)^2)	$\frac{2 \tan (\frac{4}{3})}{1 - \tan^{2} (\frac{4}{3})}$
14579	Find the Exact Value	(2tan(150))/(1-tan(150)^2)	$\frac{2 \tan (150)}{1 - \tan^{2} (150)}$
14580	Find the Exact Value	-cot(pi/6)^2	$- \cot^{2} (\frac{π}{6})$
14581	Find the Exact Value	cos(4)^2	$\cos^{2} (4)$
14582	Find the Exact Value	arccot(-5/4)	$arccot (- \frac{5}{4})$
14583	Find the Exact Value	cos((3pi)/8)^2	$\cos^{2} (\frac{3 π}{8})$
14584	Find the Exact Value	cos(pi/12)^2	$\cos^{2} (\frac{π}{12})$
14585	Find the Exact Value	cos(105)^2-sin(105)^2	$\cos^{2} (105) - \sin^{2} (105)$
14586	Find the Exact Value	cos(112.5)^2-sin(112.5)^2	$\cos^{2} (112.5) - \sin^{2} (112.5)$
14587	Find the Exact Value	cos(67.5)^2-sin(67.5)^2	$\cos^{2} (67.5) - \sin^{2} (67.5)$
14588	Find the Exact Value	arcsec(-8)	$arcsec (- 8)$
14589	Find the Exact Value	arccsc(-3)	$arccsc (- 3)$
14590	Find the Exact Value	arcsec(-0.3)	$arcsec (- 0.3)$
14591	Find the Exact Value	csc(40)^2-tan(50)^2	$\csc^{2} (40) - \tan^{2} (50)$
14592	Find the Exact Value	-(sec(20))/(csc(70))	$- \frac{\sec (20)}{\csc (70)}$
14593	Find the Exact Value	arcsin(0.55)	$\arcsin (0.55)$
14594	Find the Exact Value	(sin(25))/56	$\frac{\sin (25)}{56}$
14595	Find the Exact Value	(sin(80))/(csc(80))	$\frac{\sin (80)}{\csc (80)}$
14596	Find the Exact Value	(sin(5pi))/4	$\frac{\sin (5 π)}{4}$
14597	Find the Exact Value	arcsin(7/25)	$\arcsin (\frac{7}{25})$
14598	Find the Exact Value	arcsin(5/13)	$\arcsin (\frac{5}{13})$
14599	Find the Exact Value	arcsin(8/9)	$\arcsin (\frac{8}{9})$
14600	Find the Exact Value	arcsin(-5/3)	$\arcsin (- \frac{5}{3})$