Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
52001	Convert from Radians to Degrees	-135 degrees	$- 135 °$
52002	Solve for C in Degrees	8tan(C)-10=tan(C)-3	$8 \tan (C) - 10 = \tan (C) - 3$
52003	Convert from Radians to Degrees	(7pi)/3rad	$\frac{7 π}{3}$ rad
52004	Find Amplitude, Period, and Phase Shift	y=(2pi)/3sec(3x)	$y = \frac{2 π}{3} \sec (3 x)$
52005	Find the Secant Given the Point	(1, square root of 2)	$(1, \sqrt{2})$
52006	Convert to Trigonometric Form	5/(tan(x)+sec(x))	$\frac{5}{\tan (x) + \sec (x)}$
52007	Solve for x in Radians	sin(x)+cos(x)=0	$\sin (x) + \cos (x) = 0$
52008	Convert from Radians to Degrees	cos(pi/4)	$\cos (\frac{π}{4})$
52009	Find the Tangent of the Angle	(4pi)/3	$\frac{4 π}{3}$
52010	Find the Reference Angle	cot((7pi)/4)	$\cot (\frac{7 π}{4})$
52011	Convert from Radians to Degrees	15rad	$15$ radians
52012	Find the Other Trig Values in Quadrant III	sec(theta)=- square root of 2	$\sec (θ) = - \sqrt{2}$
52013	Solve for θ in Degrees	sin(theta)-sin(2theta)=0	$\sin (θ) - \sin (2 θ) = 0$
52014	Find Amplitude, Period, and Phase Shift	y=-cos(-x+pi)	$y = - \cos (- x + π)$
52015	Find the Reference Angle	tan((3pi)/4)	$\tan (\frac{3 π}{4})$
52016	Find Amplitude, Period, and Phase Shift	y=4sin((8x)/5-(5pi)/2)	$y = 4 \sin (\frac{8 x}{5} - \frac{5 π}{2})$
52017	Find the Cosecant Given the Point	(1,- square root of 3)	$(1, - \sqrt{3})$
52018	Find the Reference Angle	tan(60 degrees )	$\tan (60 °)$
52019	Find the Other Trig Values in Quadrant III	cos(theta)=-1	$\cos (θ) = - 1$
52020	Convert from Radians to Degrees	cos(pi/3)	$\cos (\frac{π}{3})$
52021	Solve for a in Degrees	sin(a)=0.5	$\sin (a) = 0.5$
52022	Find Amplitude, Period, and Phase Shift	f(x)=-5cos(x+2)-5	$f (x) = - 5 \cos (x + 2) - 5$
52023	Find the Reference Angle	180/pi	$\frac{180}{π}$
52024	Convert from Radians to Degrees	-8pirad	$- 8 π$ radians
52025	Expand Using Sum/Difference Formulas	6x(x-2y)	$6 x (x - 2 y)$
52026	Find the Reference Angle	sin(-330 degrees )	$\sin (- 330 °)$
52027	Expand Using Sum/Difference Formulas	4(2x-1)+3(2x+5)	$4 (2 x - 1) + 3 (2 x + 5)$
52028	Solve for θ in Degrees	csc(theta)=-(2 square root of 3)/3	$\csc (θ) = - \frac{2 \sqrt{3}}{3}$
52029	Find the Tangent of the Angle	pi/3	$\frac{π}{3}$
52030	Verify the Identity	2(3x+7)=6x+14	$2 (3 x + 7) = 6 x + 14$
52031	Find the Secant Given the Point	(( square root of 10)/10,-(3 square root of 10)/10)	$(\frac{\sqrt{10}}{10}, - \frac{3 \sqrt{10}}{10})$
52032	Find Amplitude, Period, and Phase Shift	3y=sin(2)(x+1)	$3 y = \sin (2) (x + 1)$
52033	Find the Reference Angle	sec(240 degrees )	$\sec (240 °)$
52034	Verify the Identity	sec(theta)^2=1+tan(theta)^2	$\sec^{2} (θ) = 1 + \tan^{2} (θ)$
52035	Expand Using Sum/Difference Formulas	6(2x-3)-2(2x+1)	$6 (2 x - 3) - 2 (2 x + 1)$
52036	Find Amplitude, Period, and Phase Shift	f(x)=sin(1/2x+pi/2)	$f (x) = \sin (\frac{1}{2} x + \frac{π}{2})$
52037	Find Amplitude, Period, and Phase Shift	y=sin((6x)/7+1/6)	$y = \sin (\frac{6 x}{7} + \frac{1}{6})$
52038	Expand the Trigonometric Expression	sin(33 degrees +42 degrees )	$\sin (33 ° + 42 °)$
52039	Solve for θ in Degrees	sec(theta)^2-25=0	$\sec^{2} (θ) - 25 = 0$
52040	Find the Cosecant Given the Point	(- square root of 3,-1)	$(- \sqrt{3}, - 1)$
52041	Convert from Degrees to Radians	10deg	$10$ degrees
52042	Solve for x in Degrees	cos(x)=1/( square root of 2)	$\cos (x) = \frac{1}{\sqrt{2}}$
52043	Verify the Identity	(1-sin(t))/(cos(t)^2)+1/(1-sin(t))=2sec(t)^2	$\frac{1 - \sin (t)}{\cos^{2} (t)} + \frac{1}{1 - \sin (t)} = 2 \sec^{2} (t)$
52044	Solve for x in Radians	tan(x)^2=1/3	$\tan^{2} (x) = \frac{1}{3}$
52045	Find the Reference Angle	sin(-pi/6)	$\sin (- \frac{π}{6})$
52046	Find Amplitude, Period, and Phase Shift	y=1/2cos((4pix)/5-pi/2)	$y = \frac{1}{2} \cos (\frac{4 π x}{5} - \frac{π}{2})$
52047	Convert to Trigonometric Form	(cot(t))/(csc(t)-sin(t))	$\frac{\cot (t)}{\csc (t) - \sin (t)}$
52048	Find the Other Trig Values in Quadrant III	sec(theta)=-1	$\sec (θ) = - 1$
52049	Expand the Trigonometric Expression	(cos(5t)+cos(3t))/(sin(5t)+sin(3t))	$\frac{\cos (5 t) + \cos (3 t)}{\sin (5 t) + \sin (3 t)}$
52050	Solve for x in Radians	sec(x)^2-sec(x)=2	$\sec^{2} (x) - \sec (x) = 2$
52051	Find Amplitude, Period, and Phase Shift	y=1/7sin(6x)-3	$y = \frac{1}{7} \sin (6 x) - 3$
52052	Convert from Degrees to Radians	-225deg	$- 225$ degrees
52053	Find the Cotangent Given the Point	(( square root of 7)/3,( square root of 2)/3)	$(\frac{\sqrt{7}}{3}, \frac{\sqrt{2}}{3})$
52054	Find Amplitude, Period, and Phase Shift	y=2cot(4x-pi)-2	$y = 2 \cot (4 x - π) - 2$
52055	Find the Quadrant of the Angle	(-5pi)/2	$\frac{- 5 π}{2}$
52056	Find Amplitude, Period, and Phase Shift	y=4cos((2x)/5-1)	$y = 4 \cos (\frac{2 x}{5} - 1)$
52057	Find Amplitude, Period, and Phase Shift	y=csc(2x-pi)	$y = \csc (2 x - π)$
52058	Find Amplitude, Period, and Phase Shift	y=4sin(2/3x+pi/9)	$y = 4 \sin (\frac{2}{3} x + \frac{π}{9})$
52059	Find the Other Trig Values in Quadrant III	cos(theta)=-( square root of 8)/3	$\cos (θ) = - \frac{\sqrt{8}}{3}$
52060	Expand the Trigonometric Expression	csc(90-theta)	$\csc (90 - θ)$
52061	Convert to Rectangular Coordinates	(3 square root of 3,(3pi)/2)	$(3 \sqrt{3}, \frac{3 π}{2})$
52062	Find the Other Trig Values in Quadrant III	csc(theta)=- square root of 2	$\csc (θ) = - \sqrt{2}$
52063	Expand Using Sum/Difference Formulas	sin((3pi)/2+x)	$\sin (\frac{3 π}{2} + x)$
52064	Find Amplitude, Period, and Phase Shift	y=2sin(x-1/2)+3	$y = 2 \sin (x - \frac{1}{2}) + 3$
52065	Find Amplitude, Period, and Phase Shift	y=1/4cos(3pix)	$y = \frac{1}{4} \cos (3 π x)$
52066	Find the Reference Angle	cot((19pi)/6)	$\cot (\frac{19 π}{6})$
52067	Find the Reference Angle	sin((13pi)/6)	$\sin (\frac{13 π}{6})$
52068	Find the Other Trig Values in Quadrant II	tan(theta)=0	$\tan (θ) = 0$
52069	Find Amplitude, Period, and Phase Shift	y=-1+3cos(3/2x)	$y = - 1 + 3 \cos (\frac{3}{2} x)$
52070	Find the Cotangent Given the Point	(- square root of 3,1)	$(- \sqrt{3}, 1)$
52071	Solve for θ in Degrees	2sin(theta)^2-3sin(theta)+1=0	$2 \sin^{2} (θ) - 3 \sin (θ) + 1 = 0$
52072	Find Amplitude, Period, and Phase Shift	y=4-3sin(2/5(x+1))	$y = 4 - 3 \sin (\frac{2}{5} (x + 1))$
52073	Find Amplitude, Period, and Phase Shift	y=1/4cos(4x-2pi)	$y = \frac{1}{4} \cos (4 x - 2 π)$
52074	Find Amplitude, Period, and Phase Shift	y=8cos(pi/4x-pi/2)	$y = 8 \cos (\frac{π}{4} x - \frac{π}{2})$
52075	Find the Other Trig Values in Quadrant II	sec(theta)=-(2 square root of 3)/3	$\sec (θ) = - \frac{2 \sqrt{3}}{3}$
52076	Find the Length of a	tri{}{45}{6}{45}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 6 \\ a = \end{matrix} & \begin{matrix} A = & 45 \\ B = & 45 \\ C = & 90 \end{matrix} \end{matrix}$
52077	Convert to Trigonometric Form	-1/(1+i)	$- \frac{1}{1 + i}$
52078	Find the Length of a	tri{12}{}{13}{}{}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 12 \\ c = & 13 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
52079	Solve for θ in Degrees	4cos(theta)^2=1	$4 \cos^{2} (θ) = 1$
52080	Find Amplitude, Period, and Phase Shift	y=sin((4x)/3+4/3)	$y = \sin (\frac{4 x}{3} + \frac{4}{3})$
52081	Find Amplitude, Period, and Phase Shift	y=1/2cos(3x+pi/2)	$y = \frac{1}{2} \cos (3 x + \frac{π}{2})$
52082	Expand the Trigonometric Expression	cos(pi/5+pi/6)	$\cos (\frac{π}{5} + \frac{π}{6})$
52083	Find Amplitude, Period, and Phase Shift	y=2csc(x-pi)+1	$y = 2 \csc (x - π) + 1$
52084	Solve for C in Degrees	cos(C)=0.0698	$\cos (C) = 0.0698$
52085	Convert from Radians to Degrees	-pi/6rad	$- \frac{π}{6}$ rad
52086	Find Amplitude, Period, and Phase Shift	y=-2csc(2x+pi/2)+3	$y = - 2 \csc (2 x + \frac{π}{2}) + 3$
52087	Convert from Degrees to Radians	144deg	$144$ degrees
52088	Find the Quadrant of the Angle	(-3pi)/2	$\frac{- 3 π}{2}$
52089	Convert to Trigonometric Form	cos(x)+sin(x)tan(x)	$\cos (x) + \sin (x) \tan (x)$
52090	Find Amplitude, Period, and Phase Shift	y=3cos((2x)/3+3pi)	$y = 3 \cos (\frac{2 x}{3} + 3 π)$
52091	Find the Other Trig Values in Quadrant IV	cot(theta)=- square root of 3	$\cot (θ) = - \sqrt{3}$
52092	Find the Tangent Given the Point	(1/5,-(2 square root of 6)/5)	$(\frac{1}{5}, - \frac{2 \sqrt{6}}{5})$
52093	Verify the Identity	square root of ab = square root of a square root of b	$\sqrt{a b} = \sqrt{a} \sqrt{b}$
52094	Convert to Trigonometric Form	square root of 3+3i	$\sqrt{3} + 3 i$
52095	Find the Sine of the Angle	pi/3	$\frac{π}{3}$
52096	Find Amplitude, Period, and Phase Shift	y=4sin((2pix)/5-5/4)	$y = 4 \sin (\frac{2 π x}{5} - \frac{5}{4})$
52097	Solve for θ in Degrees	cos(theta)^2+9cos(theta)+18=0	$\cos^{2} (θ) + 9 \cos (θ) + 18 = 0$
52098	Expand the Trigonometric Expression	cos(6x)	$\cos (6 x)$
52099	Verify the Identity	a^2-b^2=(a+b)(a-b)	$a^{2} - b^{2} = (a + b) (a - b)$
52100	Verify the Identity	sin(a)=tan(a)*cos(a)	$\sin (a) = \tan (a) \cdot \cos (a)$