Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
3501	Expand the Trigonometric Expression	tan(2x)	$\tan (2 x)$
3502	Find the Value Using the Unit Circle	arctan(1)	$\arctan (1)$
3503	Find the Value Using the Unit Circle	csc(0)	$\csc (0)$
3504	Find the Value Using the Unit Circle	cos((5pi)/8)	$\cos (\frac{5 π}{8})$
3505	Find the Value Using the Unit Circle	cos(270)	$\cos (270)$
3506	Find the Value Using the Unit Circle	cos(315)	$\cos (315)$
3507	Expand the Trigonometric Expression	pi/6	$\frac{π}{6}$
3508	Expand the Trigonometric Expression	3+4i	$3 + 4 i$
3509	Find the Exact Value	arctan(tan((11pi)/12))	$\arctan (\tan (\frac{11 π}{12}))$
3510	Find the Exact Value	arctan(14)	$\arctan (14)$
3511	Find the Exact Value	arcsin(sin(-pi/6))	$\arcsin (\sin (- \frac{π}{6}))$
3512	Find the Exact Value	sec(-330 degrees )	$\sec (- 330 °)$
3513	Find the Exact Value	(tan(45 degrees )+tan(60 degrees ))^2	${(\tan (45 °) + \tan (60 °))}^{2}$
3514	Find the Exact Value	arcsin(sin((10pi)/7))	$\arcsin (\sin (\frac{10 π}{7}))$
3515	Find the Exact Value	sec(855)	$\sec (855)$
3516	Find the Exact Value	csc(-225 degrees )	$\csc (- 225 °)$
3517	Find the Exact Value	tan(arcsin(( square root of 3)/2))	$\tan (\arcsin (\frac{\sqrt{3}}{2}))$
3518	Find the Exact Value	arccos(14/15)	$\arccos (\frac{14}{15})$
3519	Find the Exact Value	sec(-(3pi)/4)	$\sec (- \frac{3 π}{4})$
3520	Find the Exact Value	arccos(cos(-(3pi)/5))	$\arccos (\cos (- \frac{3 π}{5}))$
3521	Find the Exact Value	cot(180)	$\cot (180)$
3522	Find the Exact Value	cot(-315 degrees )	$\cot (- 315 °)$
3523	Find the Exact Value	2sin(45)	$2 \sin (45)$
3524	Find the Exact Value	cot(-(17pi)/6)	$\cot (- \frac{17 π}{6})$
3525	Find the Exact Value	2sin(pi/3)	$2 \sin (\frac{π}{3})$
3526	Find the Exact Value	sin(28 degrees )	$\sin (28 °)$
3527	Find the Exact Value	cos(1/5)	$\cos (\frac{1}{5})$
3528	Find the Exact Value	cos((11pi)/2)	$\cos (\frac{11 π}{2})$
3529	Find the Exact Value	cos((27pi)/8)	$\cos (\frac{27 π}{8})$
3530	Find the Exact Value	sin(55 degrees )	$\sin (55 °)$
3531	Find the Exact Value	sin(5)	$\sin (5)$
3532	Find the Exact Value	sin(34 degrees )	$\sin (34 °)$
3533	Find the Exact Value	arcsin(2/3)	$\arcsin (\frac{2}{3})$
3534	Verify the Identity	sin(x)-sin(x)cos(x)^2=sin(x)^3	$\sin (x) - \sin (x) \cos^{2} (x) = \sin^{3} (x)$
3535	Verify the Identity	sin(x)tan(x)=sec(x)-cos(x)	$\sin (x) \tan (x) = \sec (x) - \cos (x)$
3536	Verify the Identity	sin(x)+sin(5x)=tan(3x)	$\sin (x) + \sin (5 x) = \tan (3 x)$
3537	Verify the Identity	tan(x)*cos(x)=sin(x)	$\tan (x) \cdot \cos (x) = \sin (x)$
3538	Verify the Identity	sec(x)=1/(csc(x))	$\sec (x) = \frac{1}{\csc (x)}$
3539	Verify the Identity	sec(x)cot(x)=csc(x)	$\sec (x) \cot (x) = \csc (x)$
3540	Verify the Identity	sin(2x)=2sin(x)	$\sin (2 x) = 2 \sin (x)$
3541	Verify the Identity	sin(2x)-cos(x)=0	$\sin (2 x) - \cos (x) = 0$
3542	Verify the Identity	sin(pi/2-x)=cos(x)	$\sin (\frac{π}{2} - x) = \cos (x)$
3543	Verify the Identity	sin(6x)=2sin(3x)cos(3x)	$\sin (6 x) = 2 \sin (3 x) \cos (3 x)$
3544	Expand the Trigonometric Expression	3tan(2x)	$3 \tan (2 x)$
3545	Verify the Identity	sin(x)^2=4-2cos(x)^2	$\sin^{2} (x) = 4 - 2 \cos^{2} (x)$
3546	Verify the Identity	(csc(x)-cot(x))/(sec(x)-1)=cot(x)	$\frac{\csc (x) - \cot (x)}{\sec (x) - 1} = \cot (x)$
3547	Verify the Identity	(sin(2x))/(1+cos(2x))=tan(x)	$\frac{\sin (2 x)}{1 + \cos (2 x)} = \tan (x)$
3548	Verify the Identity	(sec(x)-csc(x))/(sec(x)+csc(x))=(tan(x)-1)/(tan(x)+1)	$\frac{\sec (x) - \csc (x)}{\sec (x) + \csc (x)} = \frac{\tan (x) - 1}{\tan (x) + 1}$
3549	Verify the Identity	sec(x)^2(1-sin(x)^2)-1=0	$\sec^{2} (x) (1 - \sin^{2} (x)) - 1 = 0$
3550	Verify the Identity	sec(x)^4-sec(x)^2=tan(x)^4+tan(x)^2	$\sec^{4} (x) - \sec^{2} (x) = \tan^{4} (x) + \tan^{2} (x)$
3551	Verify the Identity	sec(x)^2csc(x)^2=sec(x)^2+csc(x)^2	$\sec^{2} (x) \csc^{2} (x) = \sec^{2} (x) + \csc^{2} (x)$
3552	Verify the Identity	sec(x)^2+csc(x)^2=sec(x)^2csc(x)^2	$\sec^{2} (x) + \csc^{2} (x) = \sec^{2} (x) \csc^{2} (x)$
3553	Verify the Identity	cos(pi-x)=-cos(x)	$\cos (π - x) = - \cos (x)$
3554	Verify the Identity	cos(x)sec(x)=1	$\cos (x) \sec (x) = 1$
3555	Verify the Identity	cot(2u)=(cot(u)^2+1)/(2cot(u))	$\cot (2 u) = \frac{\cot^{2} (u) + 1}{2 \cot (u)}$
3556	Verify the Identity	cos(x-pi)=-cos(x)	$\cos (x - π) = - \cos (x)$
3557	Verify the Identity	cot(x)=cos(x)csc(x)	$\cot (x) = \cos (x) \csc (x)$
3558	Verify the Identity	csc(x)=cot(x)sec(x)	$\csc (x) = \cot (x) \sec (x)$
3559	Verify the Identity	(tan(t)^2)/(sec(t))=sec(t)-cos(t)	$\frac{\tan^{2} (t)}{\sec (t)} = \sec (t) - \cos (t)$
3560	Verify the Identity	(sin(x)-cos(x)+1)/(sin(x)+cos(x)-1)=(sin(x)+1)/(cos(x))	$\frac{\sin (x) - \cos (x) + 1}{\sin (x) + \cos (x) - 1} = \frac{\sin (x) + 1}{\cos (x)}$
3561	Verify the Identity	(1+sin(x))(1-sin(x))=cos(x)^2	$(1 + \sin (x)) (1 - \sin (x)) = \cos^{2} (x)$
3562	Verify the Identity	(1-cos(x))/(1+cos(x))=(csc(x)-cot(x))^2	$\frac{1 - \cos (x)}{1 + \cos (x)} = {(\csc (x) - \cot (x))}^{2}$
3563	Verify the Identity	1/(tan(x))+tan(x)=1/(sin(x)cos(x))	$\frac{1}{\tan (x)} + \tan (x) = \frac{1}{\sin (x) \cos (x)}$
3564	Verify the Identity	1/(sec(x)-tan(x))=sec(x)+tan(x)	$\frac{1}{\sec (x) - \tan (x)} = \sec (x) + \tan (x)$
3565	Verify the Identity	(cos(x))/(sec(x)sin(x))=csc(x)-sin(x)	$\frac{\cos (x)}{\sec (x) \sin (x)} = \csc (x) - \sin (x)$
3566	Find the Reference Angle	750 degrees	$750 °$
3567	Find the Reference Angle	7	$7$
3568	Find the Supplement	(2pi)/7	$\frac{2 π}{7}$
3569	Find the Supplement	(2pi)/9	$\frac{2 π}{9}$
3570	Find the Supplement	2	$2$
3571	Find the Supplement	30 degrees	$30 °$
3572	Find the Complement	cos(15)	$\cos (15)$
3573	Find the Reference Angle	200	$200$
3574	Find the Reference Angle	-210 degrees	$- 210 °$
3575	Find the Reference Angle	110	$110$
3576	Find the Reference Angle	111	$111$
3577	Find the Reference Angle	100	$100$
3578	Find the Reference Angle	-(7pi)/9	$- \frac{7 π}{9}$
3579	Find the Reference Angle	(4pi)/5	$\frac{4 π}{5}$
3580	Find the Reference Angle	(13pi)/3	$\frac{13 π}{3}$
3581	Find the Reference Angle	(7pi)/5	$\frac{7 π}{5}$
3582	Find the Reference Angle	(5pi)/2	$\frac{5 π}{2}$
3583	Find the Reference Angle	(13pi)/12	$\frac{13 π}{12}$
3584	Find the Reference Angle	(15pi)/4	$\frac{15 π}{4}$
3585	Find the Reference Angle	-1.4pi	$- 1.4 π$
3586	Find the Reference Angle	(24pi)/7	$\frac{24 π}{7}$
3587	Expand Using Sum/Difference Formulas	sin((3pi)/8)	$\sin (\frac{3 π}{8})$
3588	Expand Using Sum/Difference Formulas	sin(20)	$\sin (20)$
3589	Expand Using Sum/Difference Formulas	tan(pi/8)	$\tan (\frac{π}{8})$
3590	Find Amplitude, Period, and Phase Shift	y=tan(pix)	$y = \tan (π x)$
3591	Find Amplitude, Period, and Phase Shift	y=tan(1/2x)	$y = \tan (\frac{1}{2} x)$
3592	Find Amplitude, Period, and Phase Shift	y=sin(x+3)	$y = \sin (x + 3)$
3593	Find Amplitude, Period, and Phase Shift	y=sin(2x-pi)	$y = \sin (2 x - π)$
3594	Find Amplitude, Period, and Phase Shift	y=cot(x/2)	$y = \cot (\frac{x}{2})$
3595	Find Amplitude, Period, and Phase Shift	f(x)=sin(x)	$f (x) = \sin (x)$
3596	Find Amplitude, Period, and Phase Shift	y=-5/9cos(7/3x)	$y = - \frac{5}{9} \cos (\frac{7}{3} x)$
3597	Find Amplitude, Period, and Phase Shift	y=3sin(2x-pi)	$y = 3 \sin (2 x - π)$
3598	Find Amplitude, Period, and Phase Shift	y=3sin(x-pi/4)	$y = 3 \sin (x - \frac{π}{4})$
3599	Find Amplitude, Period, and Phase Shift	y=-3sin(-6x+pi/2)	$y = - 3 \sin (- 6 x + \frac{π}{2})$
3600	Find Amplitude, Period, and Phase Shift	y=4cos(3x+pi/2)	$y = 4 \cos (3 x + \frac{π}{2})$