Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
501	Convert from Radians to Degrees	-(5pi)/3	$- \frac{5 π}{3}$ $- \frac{5 π}{3}$
502	Expand Using Sum/Difference Formulas	sin((11pi)/12)	$sin (\frac{11 π}{12})$ $\sin (\frac{11 π}{12})$
503	Find the Exact Value	cos(225)	$cos (225)$ $\cos (225)$
504	Find the Exact Value	tan(390)	$tan (390)$ $\tan (390)$
505	Find the Exact Value	sin((19pi)/6)	$sin (\frac{19 π}{6})$ $\sin (\frac{19 π}{6})$
506	Find the Exact Value	sin((11pi)/4)	$sin (\frac{11 π}{4})$ $\sin (\frac{11 π}{4})$
507	Find the Exact Value	csc(90 degrees )	$csc (90 °)$ $\csc (90 °)$
508	Find the Exact Value	sin(2pi)	$sin (2 π)$ $\sin (2 π)$
509	Find the Value Using the Unit Circle	sin(30 degrees )	$sin (30 °)$ $\sin (30 °)$
510	Solve for ?	cot(x)=1	$cot (x) = 1$ $\cot (x) = 1$
511	Solve for ?	sin(2x)=( square root of 3)/2	$sin (2 x) = \frac{\sqrt{3}}{2}$ $\sin (2 x) = \frac{\sqrt{3}}{2}$
512	Solve for ?	sin(3x)=1	$sin (3 x) = 1$ $\sin (3 x) = 1$
513	Solve for x	2cos(x)+1=0	$2 cos (x) + 1 = 0$ $2 \cos (x) + 1 = 0$
514	Solve for x	tan(x)^2-1=0	${tan}^{2} (x) - 1 = 0$ $\tan^{2} (x) - 1 = 0$
515	Solve for x	cos(2x)=0	$cos (2 x) = 0$ $\cos (2 x) = 0$
516	Simplify	(cos(theta))/(sin(theta))	$\frac{cos (θ)}{sin (θ)}$ $\frac{\cos (θ)}{\sin (θ)}$
517	Simplify	(( square root of 2)/2)^2	${(\frac{\sqrt{2}}{2})}^{2}$ ${(\frac{\sqrt{2}}{2})}^{2}$
518	Simplify	cos(x)csc(x)	$cos (x) csc (x)$ $\cos (x) \csc (x)$
519	Simplify	tan( square root of 3)	$tan (\sqrt{3})$ $\tan (\sqrt{3})$
520	Simplify	arccsc(- square root of 2)	$arccsc (- \sqrt{2})$ $arccsc (- \sqrt{2})$
521	Find the Other Trig Values in Quadrant I	csc(theta)=2	$csc (θ) = 2$ $\csc (θ) = 2$
522	Solve for x	sec(x)=2	$sec (x) = 2$ $\sec (x) = 2$
523	Solve for x	2sin(x)-1=0	$2 sin (x) - 1 = 0$ $2 \sin (x) - 1 = 0$
524	Solve for ?	sin(x)=0	$sin (x) = 0$ $\sin (x) = 0$
525	Simplify	(sin(theta))/(cos(theta))	$\frac{sin (θ)}{cos (θ)}$ $\frac{\sin (θ)}{\cos (θ)}$
526	Find the Exact Value	cot(-150)	$cot (- 150)$ $\cot (- 150)$
527	Find the Exact Value	tan(35)	$tan (35)$ $\tan (35)$
528	Find the Exact Value	tan(112.5)	$tan (112.5)$ $\tan (112.5)$
529	Find the Exact Value	tan(arcsin(1/2))	$tan (arcsin (\frac{1}{2}))$ $\tan (\arcsin (\frac{1}{2}))$
530	Find the Exact Value	sin(-pi)	$sin (- π)$ $\sin (- π)$
531	Expand Using Sum/Difference Formulas	sin(15)	$sin (15)$ $\sin (15)$
532	Convert from Degrees to Radians	-48 degrees	$- 48 °$ $- 48 °$
533	Convert from Degrees to Radians	40 degrees	$40 °$ $40 °$
534	Convert from Degrees to Radians	25	$25$ $25$
535	Convert from Radians to Degrees	(7pi)/3	$\frac{7 π}{3}$ $\frac{7 π}{3}$
536	Convert from Degrees to Radians	-120	$- 120$ $- 120$
537	Find Amplitude, Period, and Phase Shift	y=sin(2x)	$y = sin (2 x)$ $y = \sin (2 x)$
538	Convert from Radians to Degrees	(13pi)/6	$\frac{13 π}{6}$ $\frac{13 π}{6}$
539	Evaluate	pi/3	$\frac{π}{3}$ $\frac{π}{3}$
540	Graph	y=4sin(x)	$y = 4 sin (x)$ $y = 4 \sin (x)$
541	Graph	y=1/2*sin(x)	$y = \frac{1}{2} \cdot sin (x)$ $y = \frac{1}{2} \cdot \sin (x)$
542	Graph	y=3cos(2x)	$y = 3 cos (2 x)$ $y = 3 \cos (2 x)$
543	Graph	y=-3cos(x)	$y = - 3 cos (x)$ $y = - 3 \cos (x)$
544	Rationalize the Denominator	(sin(x)^2)/(1-cos(x))	$\frac{{sin}^{2} (x)}{1 - cos (x)}$ $\frac{\sin^{2} (x)}{1 - \cos (x)}$
545	Find the Quadrant of the Angle	(4pi)/3	$\frac{4 π}{3}$ $\frac{4 π}{3}$
546	Find the Quadrant of the Angle	(2pi)/3	$\frac{2 π}{3}$ $\frac{2 π}{3}$
547	Convert from Radians to Degrees	-pi/4	$- \frac{π}{4}$ $- \frac{π}{4}$
548	Simplify/Condense	log base a of b^2	${log}_{a} (b^{2})$ $\log_{a} (b^{2})$
549	Find Amplitude, Period, and Phase Shift	y=2cos(x)	$y = 2 cos (x)$ $y = 2 \cos (x)$
550	Find Amplitude, Period, and Phase Shift	y=-3sin(x)	$y = - 3 sin (x)$ $y = - 3 \sin (x)$
551	Convert from Degrees to Radians	140	$140$ $140$
552	Convert from Degrees to Radians	-315	$- 315$ $- 315$
553	Convert from Degrees to Radians	200	$200$ $200$
554	Convert from Degrees to Radians	-75	$- 75$ $- 75$
555	Convert from Degrees to Radians	75 degrees	$75 °$ $75 °$
556	Find the Reference Angle	pi/4	$\frac{π}{4}$ $\frac{π}{4}$
557	Find the Reference Angle	pi/6	$\frac{π}{6}$ $\frac{π}{6}$
558	Find the Reference Angle	240	$240$ $240$
559	Find the Exact Value	sec(150 degrees )	$sec (150 °)$ $\sec (150 °)$
560	Find the Exact Value	cot((3pi)/4)	$cot (\frac{3 π}{4})$ $\cot (\frac{3 π}{4})$
561	Find the Exact Value	arcsin(sin((5pi)/6))	$arcsin (sin (\frac{5 π}{6}))$ $\arcsin (\sin (\frac{5 π}{6}))$
562	Verify the Identity	sin(theta)=1/2	$sin (θ) = \frac{1}{2}$ $\sin (θ) = \frac{1}{2}$
563	Verify the Identity	sec(x)-sec(x)sin(x)^2=cos(x)	$sec (x) - sec (x) {sin}^{2} (x) = cos (x)$ $\sec (x) - \sec (x) \sin^{2} (x) = \cos (x)$
564	Verify the Identity	cos(x)^2-sin(x)^2=1-2sin(x)^2	${cos}^{2} (x) - {sin}^{2} (x) = 1 - 2 {sin}^{2} (x)$ $\cos^{2} (x) - \sin^{2} (x) = 1 - 2 \sin^{2} (x)$
565	Find the Exact Value	sin(90 degrees )	$sin (90 °)$ $\sin (90 °)$
566	Find the Exact Value	sin(5/13)	$sin (\frac{5}{13})$ $\sin (\frac{5}{13})$
567	Find the Exact Value	sin((7pi)/2)	$sin (\frac{7 π}{2})$ $\sin (\frac{7 π}{2})$
568	Find the Exact Value	cot(300 degrees )	$cot (300 °)$ $\cot (300 °)$
569	Find the Exact Value	sin(-1/2)	$sin (- \frac{1}{2})$ $\sin (- \frac{1}{2})$
570	Find the Exact Value	cot(-(2pi)/3)	$cot (- \frac{2 π}{3})$ $\cot (- \frac{2 π}{3})$
571	Find the Exact Value	cos(420)	$cos (420)$ $\cos (420)$
572	Find the Exact Value	cos((7pi)/8)	$cos (\frac{7 π}{8})$ $\cos (\frac{7 π}{8})$
573	Simplify	cos(theta)^2-sin(theta)^2	${cos}^{2} (θ) - {sin}^{2} (θ)$ $\cos^{2} (θ) - \sin^{2} (θ)$
574	Solve for ?	sin(x)=1	$sin (x) = 1$ $\sin (x) = 1$
575	Solve for x	sin(x)^2-cos(x)^2=0	${sin}^{2} (x) - {cos}^{2} (x) = 0$ $\sin^{2} (x) - \cos^{2} (x) = 0$
576	Solve for x	cos(x)=-1	$cos (x) = - 1$ $\cos (x) = - 1$
577	Solve for x	sin(2x)=-1	$sin (2 x) = - 1$ $\sin (2 x) = - 1$
578	Solve for x	csc(x)=2	$csc (x) = 2$ $\csc (x) = 2$
579	Solve for x	x=4cos(35 degrees )	$x = 4 cos (35 °)$ $x = 4 \cos (35 °)$
580	Simplify	arccsc(-(2 square root of 3)/3)	$arccsc (- \frac{2 \sqrt{3}}{3})$ $arccsc (- \frac{2 \sqrt{3}}{3})$
581	Simplify	cos(2arctan(x))	$cos (2 arctan (x))$ $\cos (2 \arctan (x))$
582	Simplify	sin(theta)+1/(cos(theta))	$sin (θ) + \frac{1}{cos (θ)}$ $\sin (θ) + \frac{1}{\cos (θ)}$
583	Simplify	(tan(theta))/(cot(theta))	$\frac{tan (θ)}{cot (θ)}$ $\frac{\tan (θ)}{\cot (θ)}$
584	Simplify	(tan(theta))/(sec(theta))	$\frac{tan (θ)}{sec (θ)}$ $\frac{\tan (θ)}{\sec (θ)}$
585	Simplify	cos(theta)^2(1+tan(theta)^2)	${cos}^{2} (θ (1 + {tan}^{2} (θ)))$ $\cos^{2} (θ (1 + \tan^{2} (θ)))$
586	Simplify	tan(theta)^2-sec(theta)^2	${tan}^{2} (θ) - {sec}^{2} (θ)$ $\tan^{2} (θ) - \sec^{2} (θ)$
587	Simplify	( square root of 3)/(2 square root of 3)	$\frac{\sqrt{3}}{2 \sqrt{3}}$ $\frac{\sqrt{3}}{2 \sqrt{3}}$
588	Solve for x	sin(x)=( square root of 2)/2	$sin (x) = \frac{\sqrt{2}}{2}$ $\sin (x) = \frac{\sqrt{2}}{2}$
589	Solve for x	sin(2x)=( square root of 3)/2	$sin (2 x) = \frac{\sqrt{3}}{2}$ $\sin (2 x) = \frac{\sqrt{3}}{2}$
590	Solve for ?	sin(x)=-( square root of 2)/2	$sin (x) = - \frac{\sqrt{2}}{2}$ $\sin (x) = - \frac{\sqrt{2}}{2}$
591	Solve for ?	sin(2x)=1/2	$sin (2 x) = \frac{1}{2}$ $\sin (2 x) = \frac{1}{2}$
592	Simplify	(( square root of 3)/2)/(-1/2)	$\frac{\frac{\sqrt{3}}{2}}{- \frac{1}{2}}$ $\frac{\frac{\sqrt{3}}{2}}{- \frac{1}{2}}$
593	Simplify	cos(arcsin(x))	$cos (arcsin (x))$ $\cos (\arcsin (x))$
594	Find the Exact Value	csc((5pi)/6)	$\csc (\frac{5 π}{6})$
595	Find the Exact Value	cos(495)	$\cos (495)$
596	Find the Exact Value	cos(20)	$\cos (20)$
597	Find the Exact Value	sec(240 degrees )	$\sec (240 °)$
598	Find the Exact Value	cos(-150 degrees )	$\cos (- 150 °)$
599	Find the Exact Value	csc(135 degrees )	$\csc (135 °)$
600	Find the Exact Value	sin(3)	$\sin (3)$