Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
51401	Expand Using Sum/Difference Formulas	cos((3pi)/2+x)	$\cos (\frac{3 π}{2} + x)$
51402	Find Amplitude, Period, and Phase Shift	y=2/3cos(x/2-pi/4)	$y = \frac{2}{3} \cos (\frac{x}{2} - \frac{π}{4})$
51403	Find the Other Trig Values in Quadrant III	sec(theta)=-17/8	$\sec (θ) = - \frac{17}{8}$
51404	Expand Using Sum/Difference Formulas	cos(pi+x)	$\cos (π + x)$
51405	Find the Reference Angle	sin(300 degrees )	$\sin (300 °)$
51406	Expand Using Sum/Difference Formulas	sin(pi-theta)	$\sin (π - θ)$
51407	Solve for θ in Degrees	2sin(theta)=-1	$2 \sin (θ) = - 1$
51408	Convert from Radians to Degrees	tan(( square root of 3)/3)	$\tan (\frac{\sqrt{3}}{3})$
51409	Solve for x in Radians	sin(2x)=( square root of 3)/2	$\sin (2 x) = \frac{\sqrt{3}}{2}$
51410	Solve for x in Radians	csc(x)^2-2=0	$\csc^{2} (x) - 2 = 0$
51411	Expand Using Sum/Difference Formulas	cos(theta+pi/2)	$\cos (θ + \frac{π}{2})$
51412	Simplify Using Half-Angle Formula	cos(105)	$\cos (105)$
51413	Find the Cosecant Given the Point	((2 square root of 2)/3,-1/3)	$(\frac{2 \sqrt{2}}{3}, - \frac{1}{3})$
51414	Find the Cosine of the Angle	(3pi)/2	$\frac{3 π}{2}$
51415	Convert from Radians to Degrees	pi/15rad	$\frac{π}{15}$ rad
51416	Find the Sine of the Angle	(3pi)/4	$\frac{3 π}{4}$
51417	Solve for x in Radians	cos(x)=1/( square root of 2)	$\cos (x) = \frac{1}{\sqrt{2}}$
51418	Find the Trig Value	cos(theta)=-3/5 , theta	$\cos (θ) = - \frac{3}{5}$ , $θ$
51419	Find the Other Trig Values in Quadrant IV	csc(theta)=-5/4	$\csc (θ) = - \frac{5}{4}$
51420	Find Amplitude, Period, and Phase Shift	y=1/2sin(6theta-(3pi)/4)+3	$y = \frac{1}{2} \sin (6 θ - \frac{3 π}{4}) + 3$
51421	Find the Reference Angle	arctan(-( square root of 3)/3)	$\arctan (- \frac{\sqrt{3}}{3})$
51422	Solve for θ in Degrees	2sin(theta)^2+sin(theta)-1=0	$2 \sin^{2} (θ) + \sin (θ) - 1 = 0$
51423	Solve for x in Radians	sec(x) = square root of 2	$\sec (x) = \sqrt{2}$
51424	Solve for x in Radians	2sin(x)^2-sin(x)=0	$2 \sin^{2} (x) - \sin (x) = 0$
51425	Find Amplitude, Period, and Phase Shift	y=3-sin(x/2)	$y = 3 - \sin (\frac{x}{2})$
51426	Solve for θ in Radians	csc(theta)-1=0	$\csc (θ) - 1 = 0$
51427	Solve for x in Radians	square root of 3cot(x)-1=0	$\sqrt{3} \cot (x) - 1 = 0$
51428	Solve for x in Radians	2cos(x)^2+cos(x)=0	$2 \cos^{2} (x) + \cos (x) = 0$
51429	Solve for θ in Degrees	cos(theta)=0.5	$\cos (θ) = 0.5$
51430	Convert to Trigonometric Form	(sec(t)-cos(t))/(sin(t))	$\frac{\sec (t) - \cos (t)}{\sin (t)}$
51431	Solve for x in Radians	csc(x)=-1	$\csc (x) = - 1$
51432	Find Amplitude, Period, and Phase Shift	y=cos(7theta+pi/2)-2	$y = \cos (7 θ + \frac{π}{2}) - 2$
51433	Solve for θ in Radians	cos(theta)^2=1/2	$\cos^{2} (θ) = \frac{1}{2}$
51434	Find the Other Trig Values in Quadrant III	tan(theta)=3	$\tan (θ) = 3$
51435	Solve for θ in Degrees	sin(theta)=-1/3	$\sin (θ) = - \frac{1}{3}$
51436	Expand Using Sum/Difference Formulas	cot(90 degrees -theta)	$\cot (90 ° - θ)$
51437	Convert from Radians to Degrees	-5/4pi	$- \frac{5}{4} π$
51438	Solve for x in Radians	30cos(30x)+14=-16	$30 \cos (30 x) + 14 = - 16$
51439	Verify the Identity	(csc(x)^2-1)sin(x)=cos(x)^2csc(x)	$(\csc^{2} (x) - 1) \sin (x) = \cos^{2} (x) \csc (x)$
51440	Convert from Radians to Degrees	6/7pi	$\frac{6}{7} π$
51441	Simplify Using Half-Angle Formula	cos(165)	$\cos (165)$
51442	Convert from Radians to Degrees	(5pi)/4rad	$\frac{5 π}{4}$ radians
51443	Solve for θ in Radians	4sin(theta)^2-4sin(theta)+1=0	$4 \sin^{2} (θ) - 4 \sin (θ) + 1 = 0$
51444	Find the Trig Value	sin(theta)=1/2 , sec(theta)	$\sin (θ) = \frac{1}{2}$ , $\sec (θ)$
51445	Solve for x in Radians	3tan(x)+ square root of 3=0	$3 \tan (x) + \sqrt{3} = 0$
51446	Solve for θ in Radians	sin(3theta)=1	$\sin (3 θ) = 1$
51447	Solve for θ in Degrees	2sin(theta)=1	$2 \sin (θ) = 1$
51448	Solve for x in Radians	6sin(20x)+1=1	$6 \sin (20 x) + 1 = 1$
51449	Find the Trig Value	sin(theta)=-4/5 , (3pi)/2<theta<2pi	$\sin (θ) = - \frac{4}{5}$ , $\frac{3 π}{2} < θ < 2 π$
51450	Find Amplitude, Period, and Phase Shift	y=cos((2pi)/3x)+2	$y = \cos (\frac{2 π}{3} x) + 2$
51451	Convert to Rectangular Coordinates	(-2,-(4pi)/3)	$(- 2, - \frac{4 π}{3})$
51452	Solve for θ in Degrees	csc(theta)=1	$\csc (θ) = 1$
51453	Find the Other Trig Values in Quadrant II	sin(theta)=(2 square root of 5)/5	$\sin (θ) = \frac{2 \sqrt{5}}{5}$
51454	Verify the Identity	(a+b)^2=a^2+2ab+b^2	${(a + b)}^{2} = a^{2} + 2 a b + b^{2}$
51455	Solve for θ in Degrees	cot(theta)=2	$\cot (θ) = 2$
51456	Solve for x in Radians	cos(x)=1/4	$\cos (x) = \frac{1}{4}$
51457	Simplify Using Half-Angle Formula	cos(75)	$\cos (75)$
51458	Solve for x in Radians	16cos(8x)-2=6	$16 \cos (8 x) - 2 = 6$
51459	Find Amplitude, Period, and Phase Shift	y=3sin(x/2-pi/2)	$y = 3 \sin (\frac{x}{2} - \frac{π}{2})$
51460	Expand the Trigonometric Expression	3sin(x)-cos(2x)+1	$3 \sin (x) - \cos (2 x) + 1$
51461	Find Amplitude, Period, and Phase Shift	y=cos(theta-(3pi)/4)+3	$y = \cos (θ - \frac{3 π}{4}) + 3$
51462	Find the Trig Value	cos(theta)=-24/25 , theta	$\cos (θ) = - \frac{24}{25}$ , $θ$
51463	Solve for θ in Degrees	cos(theta/2)=-( square root of 2)/2	$\cos (\frac{θ}{2}) = - \frac{\sqrt{2}}{2}$
51464	Simplify Using Half-Angle Formula	sin(15)	$\sin (15)$
51465	Solve for x in Degrees	2sin(x)^2-sin(x)-1=0	$2 \sin^{2} (x) - \sin (x) - 1 = 0$
51466	Find the Other Trig Values in Quadrant III	csc(theta)=-4	$\csc (θ) = - 4$
51467	Convert from Degrees to Radians	80deg	$80$ degrees
51468	Solve for θ in Degrees	sin(theta/2)=0	$\sin (\frac{θ}{2}) = 0$
51469	Convert from Radians to Degrees	arccot(-3.5)	$arccot (- 3.5)$
51470	Find the Other Trig Values in Quadrant III	sin(theta)=-(2 square root of 5)/5	$\sin (θ) = - \frac{2 \sqrt{5}}{5}$
51471	Solve for x in Degrees	sin(x)cos(x)+cos(x)=0	$\sin (x) \cos (x) + \cos (x) = 0$
51472	Find the Cosine of the Angle	30 degrees	$30 °$
51473	Solve for x in Radians	cos(2x)-sin(x)=0	$\cos (2 x) - \sin (x) = 0$
51474	Convert to Trigonometric Form	(cos(x)^2)/(1+sin(x))	$\frac{\cos^{2} (x)}{1 + \sin (x)}$
51475	Find the Cosine Given the Point	(( square root of 10)/10,(3 square root of 10)/10)	$(\frac{\sqrt{10}}{10}, \frac{3 \sqrt{10}}{10})$
51476	Solve for x in Degrees	tan(x)=1/( square root of 3)	$\tan (x) = \frac{1}{\sqrt{3}}$
51477	Convert from Radians to Degrees	pi/10rad	$\frac{π}{10}$ rad
51478	Simplify Using Half-Angle Formula	cos(67.5)	$\cos (67.5)$
51479	Solve for θ in Degrees	cos(theta)=(- square root of 3)/2	$\cos (θ) = \frac{- \sqrt{3}}{2}$
51480	Find the Coterminal Angle	-390	$- 390$
51481	Convert from Radians to Degrees	tan( square root of 3)	$\tan (\sqrt{3})$
51482	Expand Using Sum/Difference Formulas	sin(x+(11pi)/6)	$\sin (x + \frac{11 π}{6})$
51483	Solve for x in Degrees	3tan(x)^2-1=0	$3 \tan^{2} (x) - 1 = 0$
51484	Solve for x in Degrees	tan(x)^2-1=0	$\tan^{2} (x) - 1 = 0$
51485	Expand Using Sum/Difference Formulas	cos(x+pi/2)	$\cos (x + \frac{π}{2})$
51486	Solve for θ in Degrees	6cot(theta)+7=0	$6 \cot (θ) + 7 = 0$
51487	Find Trig Functions Using Identities	cos(theta)=1/3 , sin(theta)<0	$\cos (θ) = \frac{1}{3}$ , $\sin (θ) < 0$
51488	Convert to Trigonometric Form	45 degrees	$45 °$
51489	Verify the Identity	cos(x)(tan(x)-sec(-x))=sin(x)-1	$\cos (x) (\tan (x) - \sec (- x)) = \sin (x) - 1$
51490	Convert from Radians to Degrees	(3pi)÷4	$3 π \div 4$
51491	Find the Other Trig Values in Quadrant III	tan(theta)=2	$\tan (θ) = 2$
51492	Expand Using Sum/Difference Formulas	cos(90 degrees -x)	$\cos (90 ° - x)$
51493	Solve for x in Degrees	sec(x)=2	$\sec (x) = 2$
51494	Find Amplitude, Period, and Phase Shift	y=10cos(-theta/2+(2pi)/3)+5	$y = 10 \cos (- \frac{θ}{2} + \frac{2 π}{3}) + 5$
51495	Find the Reference Angle	arccos(-1/2)	$\arccos (- \frac{1}{2})$
51496	Convert to Trigonometric Form	(1+tan(x))/(1+cot(x))	$\frac{1 + \tan (x)}{1 + \cot (x)}$
51497	Find the Other Trig Values in Quadrant IV	cot(theta)=-2	$\cot (θ) = - 2$
51498	Solve for x in Radians	sin(x)=cos(x)	$\sin (x) = \cos (x)$
51499	Solve for θ in Degrees	sin(theta)^2+2sin(theta)-15=0	$\sin^{2} (θ) + 2 \sin (θ) - 15 = 0$
51500	Solve for x in Radians	sin(2x)+sin(x)=0	$\sin (2 x) + \sin (x) = 0$