Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
2701	Convert from Radians to Degrees	30	$30$
2702	Expand the Logarithmic Expression	log of 12	$\log (12)$
2703	Factor by Grouping	1-2sin(x)^2+sin(x)^4	$1 - 2 \sin^{2} (x) + \sin^{4} (x)$
2704	Factor	csc(x)	$\csc (x)$
2705	Factor	sin(x)^3-cos(x)^3	$\sin^{3} (x) - \cos^{3} (x)$
2706	Factor	1-2cos(x)^2+cos(x)^4	$1 - 2 \cos^{2} (x) + \cos^{4} (x)$
2707	Convert from Degrees to Radians	cos(15)	$\cos (15)$
2708	Convert from Degrees to Radians	cos(75)	$\cos (75)$
2709	Convert from Degrees to Radians	-80 degrees	$- 80 °$
2710	Find Amplitude, Period, and Phase Shift	y=sin(pi+6x)	$y = \sin (π + 6 x)$
2711	Find Amplitude, Period, and Phase Shift	f(x)=2sin(x)	$f (x) = 2 \sin (x)$
2712	Convert from Degrees to Radians	265	$265$
2713	Convert from Degrees to Radians	288	$288$
2714	Convert from Degrees to Radians	94 degrees	$94 °$
2715	Convert from Degrees to Radians	310	$310$
2716	Convert from Degrees to Radians	200 degrees	$200 °$
2717	Convert from Degrees to Radians	195	$195$
2718	Convert from Degrees to Radians	170 degrees	$170 °$
2719	Convert from Degrees to Radians	-165 degrees	$- 165 °$
2720	Convert from Degrees to Radians	145 degrees	$145 °$
2721	Convert from Degrees to Radians	155	$155$
2722	Convert from Degrees to Radians	126	$126$
2723	Convert from Degrees to Radians	140 degrees	$140 °$
2724	Convert from Degrees to Radians	108	$108$
2725	Convert from Degrees to Radians	420 degrees	$420 °$
2726	Convert from Degrees to Radians	33 degrees	$33 °$
2727	Convert from Degrees to Radians	34	$34$
2728	Convert from Degrees to Radians	340 degrees	$340 °$
2729	Evaluate	cos(120 degrees )	$\cos (120 °)$
2730	Convert from Degrees to Radians	81	$81$
2731	Convert from Degrees to Radians	85 degrees	$85 °$
2732	Convert from Degrees to Radians	7	$7$
2733	Convert from Degrees to Radians	55 degrees	$55 °$
2734	Evaluate	sin(390 degrees )	$\sin (390 °)$
2735	Convert from Degrees to Radians	660 degrees	$660 °$
2736	Find Amplitude, Period, and Phase Shift	f(x)=5cos(x)+1	$f (x) = 5 \cos (x) + 1$
2737	Find Amplitude, Period, and Phase Shift	f(x)=4sin(x)	$f (x) = 4 \sin (x)$
2738	Find Amplitude, Period, and Phase Shift	y=cos(6x)	$y = \cos (6 x)$
2739	Simplify	cos(theta)	$\cos (θ)$
2740	Find Amplitude, Period, and Phase Shift	f(x)=tan(2x)	$f (x) = \tan (2 x)$
2741	Find Amplitude, Period, and Phase Shift	y=sin(theta)	$y = \sin (θ)$
2742	Find Amplitude, Period, and Phase Shift	y=4sin(pix)	$y = 4 \sin (π x)$
2743	Find Amplitude, Period, and Phase Shift	y=2sin(4x)	$y = 2 \sin (4 x)$
2744	Find Amplitude, Period, and Phase Shift	y=1/4sin(x+pi/4)	$y = \frac{1}{4} \sin (x + \frac{π}{4})$
2745	Find Amplitude, Period, and Phase Shift	y=6cos(pix)	$y = 6 \cos (π x)$
2746	Find Amplitude, Period, and Phase Shift	y=sec(2x)	$y = \sec (2 x)$
2747	Find Amplitude, Period, and Phase Shift	y=sin(3theta)	$y = \sin (3 θ)$
2748	Find Amplitude, Period, and Phase Shift	y=cos(x-pi/4)	$y = \cos (x - \frac{π}{4})$
2749	Find Amplitude, Period, and Phase Shift	y=sin(x)+8	$y = \sin (x) + 8$
2750	Find Amplitude, Period, and Phase Shift	y=sin(pi+3x)	$y = \sin (π + 3 x)$
2751	Find Amplitude, Period, and Phase Shift	y=8sin(x)	$y = 8 \sin (x)$
2752	Expand Using Sum/Difference Formulas	cos(pi/8)	$\cos (\frac{π}{8})$
2753	Expand Using Sum/Difference Formulas	cos(12/13)	$\cos (\frac{12}{13})$
2754	Expand Using Sum/Difference Formulas	sin((43pi)/12)	$\sin (\frac{43 π}{12})$
2755	Find the Reference Angle	(11pi)/12	$\frac{11 π}{12}$
2756	Find the Reference Angle	-(5pi)/6	$- \frac{5 π}{6}$
2757	Find the Reference Angle	-(2pi)/3	$- \frac{2 π}{3}$
2758	Find the Reference Angle	-135 degrees	$- 135 °$
2759	Find the Reference Angle	225 degrees	$225 °$
2760	Find the Reference Angle	-210	$- 210$
2761	Find the Reference Angle	-150 degrees	$- 150 °$
2762	Find the Reference Angle	5	$5$
2763	Find the Reference Angle	-230	$- 230$
2764	Find the Reference Angle	235	$235$
2765	Find the Reference Angle	-250	$- 250$
2766	Find the Reference Angle	270	$270$
2767	Find the Reference Angle	-315 degrees	$- 315 °$
2768	Find the Reference Angle	-30 degrees	$- 30 °$
2769	Find the Complement	pi/12	$\frac{π}{12}$
2770	Find the Complement	(2pi)/9	$\frac{2 π}{9}$
2771	Find the Complement	(5pi)/6	$\frac{5 π}{6}$
2772	Find the Complement	(11pi)/12	$\frac{11 π}{12}$
2773	Find the Complement	1	$1$
2774	Find the Supplement	(7pi)/8	$\frac{7 π}{8}$
2775	Find the Reference Angle	60	$60$
2776	Find the Reference Angle	600	$600$
2777	Find the Reference Angle	750	$750$
2778	Find the Reference Angle	cos(105)	$\cos (105)$
2779	Verify the Identity	(cos(x)cot(x))/(1-sin(x))-1=csc(x)	$\frac{\cos (x) \cot (x)}{1 - \sin (x)} - 1 = \csc (x)$
2780	Verify the Identity	(cos(x))/(sec(x))+(sin(x))/(csc(x))=1	$\frac{\cos (x)}{\sec (x)} + \frac{\sin (x)}{\csc (x)} = 1$
2781	Verify the Identity	1/(tan(x)^2)-1/(cot(x)^2)=csc(x)^2-sec(x)^2	$\frac{1}{\tan^{2} (x)} - \frac{1}{\cot^{2} (x)} = \csc^{2} (x) - \sec^{2} (x)$
2782	Verify the Identity	1/(tan(x))+1/(cot(x))=tan(x)+cot(x)	$\frac{1}{\tan (x)} + \frac{1}{\cot (x)} = \tan (x) + \cot (x)$
2783	Verify the Identity	(1+cos(x))/(sin(x))=(sin(x))/(1-cos(x))	$\frac{1 + \cos (x)}{\sin (x)} = \frac{\sin (x)}{1 - \cos (x)}$
2784	Verify the Identity	(1+tan(x))/(sin(x)+cos(x))=sec(x)	$\frac{1 + \tan (x)}{\sin (x) + \cos (x)} = \sec (x)$
2785	Verify the Identity	(csc(x)-cot(x))^2=(1-cos(x))/(1+cos(x))	${(\csc (x) - \cot (x))}^{2} = \frac{1 - \cos (x)}{1 + \cos (x)}$
2786	Verify the Identity	(csc(x)^2)/(cot(x))=csc(x)sec(x)	$\frac{\csc^{2} (x)}{\cot (x)} = \csc (x) \sec (x)$
2787	Verify the Identity	cos(x+y)+cos(x-y)=2cos(x)cos(y)	$\cos (x + y) + \cos (x - y) = 2 \cos (x) \cos (y)$
2788	Verify the Identity	cos(2x)=cos(x)^2-sin(x)^2	$\cos (2 x) = \cos^{2} (x) - \sin^{2} (x)$
2789	Verify the Identity	cos(x)+cos(x)tan(x)^2=sec(x)	$\cos (x) + \cos (x) \tan^{2} (x) = \sec (x)$
2790	Verify the Identity	(sin(x))/(1+cos(x))=(1-cos(x))/(sin(x))	$\frac{\sin (x)}{1 + \cos (x)} = \frac{1 - \cos (x)}{\sin (x)}$
2791	Verify the Identity	cos(2x)^2-sin(2x)^2=0	$\cos^{2} (2 x) - \sin^{2} (2 x) = 0$
2792	Verify the Identity	cos(x)^2csc(x)-csc(x)=-sin(x)	$\cos^{2} (x) \csc (x) - \csc (x) = - \sin (x)$
2793	Verify the Identity	sin(x)^2-cos(x)^2=0	$\sin^{2} (x) - \cos^{2} (x) = 0$
2794	Verify the Identity	(sin(x))/(csc(x))+(cos(x))/(sec(x))=1	$\frac{\sin (x)}{\csc (x)} + \frac{\cos (x)}{\sec (x)} = 1$
2795	Verify the Identity	(sin(x))/(tan(x))=cos(x)	$\frac{\sin (x)}{\tan (x)} = \cos (x)$
2796	Verify the Identity	sin(t)csc(t)=1	$\sin (t) \csc (t) = 1$
2797	Verify the Identity	sin(3x)=3sin(x)-4sin(x)^3	$\sin (3 x) = 3 \sin (x) - 4 \sin^{3} (x)$
2798	Verify the Identity	sin(2x)+cos(x)=0	$\sin (2 x) + \cos (x) = 0$
2799	Verify the Identity	sec(pi/2-x)=csc(x)	$\sec (\frac{π}{2} - x) = \csc (x)$
2800	Verify the Identity	tan(x)cot(x)=1	$\tan (x) \cot (x) = 1$