Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
51601	Verify the Identity	n root of a/b=(n root of a)/(n root of b)	$\sqrt[n]{\frac{a}{b}} = \frac{\sqrt[n]{a}}{\sqrt[n]{b}}$
51602	Find Amplitude, Period, and Phase Shift	y=2+sin(4x)	$y = 2 + \sin (4 x)$
51603	Find the Reference Angle	sin(pi/3)	$\sin (\frac{π}{3})$
51604	Find the Reference Angle	tan(pi/3)	$\tan (\frac{π}{3})$
51605	Solve for θ in Radians	csc(theta)=-(2 square root of 3)/3	$\csc (θ) = - \frac{2 \sqrt{3}}{3}$
51606	Find Amplitude, Period, and Phase Shift	y=3sin(-x/3)	$y = 3 \sin (- \frac{x}{3})$
51607	Convert from Degrees to Radians	180^O	$180^{O}$
51608	Find Trig Functions Using Identities	sec(theta)=- square root of 10 , cot(theta)>0	$\sec (θ) = - \sqrt{10}$ , $\cot (θ) > 0$
51609	Verify the Identity	(x+7)^2=x^2+14x+49	${(x + 7)}^{2} = x^{2} + 14 x + 49$
51610	Verify the Identity	(1-sin(x)^2cos(x)^2)/(cos(x)^2)=cos(x)^2+tan(x)^2	$\frac{1 - \sin^{2} (x) \cos^{2} (x)}{\cos^{2} (x)} = \cos^{2} (x) + \tan^{2} (x)$
51611	Convert from Degrees to Radians	345deg	$345$ degrees
51612	Expand Using Sum/Difference Formulas	2(x+3)	$2 (x + 3)$
51613	Find the Coterminal Angle	-760	$- 760$
51614	Find the Reference Angle	sin(pi/4)	$\sin (\frac{π}{4})$
51615	Find the Secant Given the Point	(-1, square root of 3)	$(- 1, \sqrt{3})$
51616	Find the Cotangent Given the Point	((2 square root of 6)/5,1/5)	$(\frac{2 \sqrt{6}}{5}, \frac{1}{5})$
51617	Find the Other Trig Values in Quadrant II	sin(2A)=( square root of 85)/11	$\sin (2 A) = \frac{\sqrt{85}}{11}$
51618	Find Amplitude, Period, and Phase Shift	y=tan(theta+(2pi)/3)+2	$y = \tan (θ + \frac{2 π}{3}) + 2$
51619	Solve for θ in Radians	sec(theta)=2/( square root of 3)	$\sec (θ) = \frac{2}{\sqrt{3}}$
51620	Find the Other Trig Values in Quadrant IV	sin(theta)=-1	$\sin (θ) = - 1$
51621	Find Amplitude, Period, and Phase Shift	y=-1/3cos(1/2x+pi/3)	$y = - \frac{1}{3} \cos (\frac{1}{2} x + \frac{π}{3})$
51622	Verify the Identity	sec(x)^2-sin(x)^2=cos(x)^2+tan(x)^2	$\sec^{2} (x) - \sin^{2} (x) = \cos^{2} (x) + \tan^{2} (x)$
51623	Find the Cotangent Given the Point	((2 square root of 30)/11,1/11)	$(\frac{2 \sqrt{30}}{11}, \frac{1}{11})$
51624	Find the Reference Angle	cos(315 degrees )	$\cos (315 °)$
51625	Convert from Radians to Degrees	2.5rad	$2.5$ radians
51626	Convert to Rectangular Coordinates	(-2,135 degrees )	$(- 2, 135 °)$
51627	Convert from Radians to Degrees	8rad	$8$ radians
51628	Find Amplitude, Period, and Phase Shift	y=3sin(pi/4x-pi/4)	$y = 3 \sin (\frac{π}{4} x - \frac{π}{4})$
51629	Convert from Radians to Degrees	10rad	$10$ radians
51630	Find Amplitude, Period, and Phase Shift	y=-3cot(x-pi)+1	$y = - 3 \cot (x - π) + 1$
51631	Convert from Radians to Degrees	2.5rad	$2.5$ rad
51632	Find the Cotangent Given the Point	(- square root of 3,-1)	$(- \sqrt{3}, - 1)$
51633	Convert from Degrees to Radians	195deg	$195$ degrees
51634	Expand Using Sum/Difference Formulas	cos(pi/5+pi/6)	$\cos (\frac{π}{5} + \frac{π}{6})$
51635	Expand Using Sum/Difference Formulas	sin(33 degrees +42 degrees )	$\sin (33 ° + 42 °)$
51636	Convert from Degrees to Radians	315*pi/180	$315 \cdot \frac{π}{180}$
51637	Find Angle B	tri{}{}{}{}{}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
51638	Find the Reference Angle	cos(45 degrees )	$\cos (45 °)$
51639	Convert from Radians to Degrees	(7pi)/6rad	$\frac{7 π}{6}$ radians
51640	Find Amplitude, Period, and Phase Shift	f(t)=2sin((2pi)/5t)	$f (t) = 2 \sin (\frac{2 π}{5} t)$
51641	Find the Cotangent Given the Point	(-1/3,(2 square root of 2)/3)	$(- \frac{1}{3}, \frac{2 \sqrt{2}}{3})$
51642	Convert from Radians to Degrees	(13pi)/2rad	$\frac{13 π}{2}$ rad
51643	Convert from Radians to Degrees	9rad	$9$ radians
51644	Find the Cotangent Given the Point	((2 square root of 2)/3,1/3)	$(\frac{2 \sqrt{2}}{3}, \frac{1}{3})$
51645	Find the Cotangent Given the Point	((2 square root of 5)/5,-( square root of 5)/5)	$(\frac{2 \sqrt{5}}{5}, - \frac{\sqrt{5}}{5})$
51646	Convert from Radians to Degrees	arccos(4.5/15)	$\arccos (\frac{4.5}{15})$
51647	Find the Reference Angle	cos(330 degrees )	$\cos (330 °)$
51648	Find the Cosecant Given the Point	(-1,0)	$(- 1, 0)$
51649	Find the Cotangent Given the Point	((3 square root of 10)/10,-( square root of 10)/10)	$(\frac{3 \sqrt{10}}{10}, - \frac{\sqrt{10}}{10})$
51650	Find Amplitude, Period, and Phase Shift	f(t)=2sin((5pi)/2t)	$f (t) = 2 \sin (\frac{5 π}{2} t)$
51651	Determine if the Sides Form a Right Triangle	7 , 10 , 12	$7$ , $10$ , $12$
51652	Find the Other Trig Values in Quadrant II	cot(theta)=-( square root of 5)/6	$\cot (θ) = - \frac{\sqrt{5}}{6}$
51653	Verify the Identity	x^2-1=(x+1)(x-1)	$x^{2} - 1 = (x + 1) (x - 1)$
51654	Solve for θ in Radians	sin(2theta)=sin(theta)	$\sin (2 θ) = \sin (θ)$
51655	Find the Cotangent Given the Point	(( square root of 5)/5,-(2 square root of 5)/5)	$(\frac{\sqrt{5}}{5}, - \frac{2 \sqrt{5}}{5})$
51656	Find the Coterminal Angle	-(25pi)/3	$- \frac{25 π}{3}$
51657	Find the Cotangent Given the Point	(1, square root of 3)	$(1, \sqrt{3})$
51658	Find the Reference Angle	cos(pi/4)	$\cos (\frac{π}{4})$
51659	Find the Trig Value	cos(theta)=5/13 , (3pi)/2<theta<2pi	$\cos (θ) = \frac{5}{13}$ , $\frac{3 π}{2} < θ < 2 π$
51660	Find the Other Trig Values in Quadrant I	sin(30 degrees )=1/2	$\sin (30 °) = \frac{1}{2}$
51661	Find Amplitude, Period, and Phase Shift	f(x)=-2cos(2x+pi/2)-1	$f (x) = - 2 \cos (2 x + \frac{π}{2}) - 1$
51662	Solve for θ in Radians	csc(theta)=2/( square root of 3)	$\csc (θ) = \frac{2}{\sqrt{3}}$
51663	Find the Cotangent Given the Point	((2 square root of 13)/13,-(3 square root of 13)/13)	$(\frac{2 \sqrt{13}}{13}, - \frac{3 \sqrt{13}}{13})$
51664	Find the Coterminal Angle	(-9pi)/4	$\frac{- 9 π}{4}$
51665	Solve for x in Degrees	4sin(x)+2 square root of 3=0	$4 \sin (x) + 2 \sqrt{3} = 0$
51666	Verify the Identity	(x-y)^2=x^2-2xy+y^2	${(x - y)}^{2} = x^{2} - 2 x y + y^{2}$
51667	Convert from Radians to Degrees	-(3pi)/2rad	$- \frac{3 π}{2}$ rad
51668	Find the Other Trig Values in Quadrant III	cot(theta)=( square root of 5)/6	$\cot (θ) = \frac{\sqrt{5}}{6}$
51669	Verify the Identity	(cos(pi/2-theta))/(sin(2theta))=(sec(theta))/2	$\frac{\cos (\frac{π}{2} - θ)}{\sin (2 θ)} = \frac{\sec (θ)}{2}$
51670	Find the Reference Angle	sec(855 degrees )	$\sec (855 °)$
51671	Verify the Identity	1/(125tan(theta)^3)=(cot(theta)^3)/125	$\frac{1}{125 \tan^{3} (θ)} = \frac{(\cot^{3} (θ))}{125}$
51672	Solve for θ in Radians	4cos(theta)^2=1	$4 \cos^{2} (θ) = 1$
51673	Expand Using Sum/Difference Formulas	tan(u-5pi)	$\tan (u - 5 π)$
51674	Find Amplitude, Period, and Phase Shift	y=sin(2x+(3pi)/2)	$y = \sin (2 x + \frac{3 π}{2})$
51675	Expand Using Sum/Difference Formulas	cos(u+2pi)	$\cos (u + 2 π)$
51676	Convert from Radians to Degrees	11rad	$11$ radians
51677	Find the Cosecant Given the Point	(3 1/2,-2 square root of 15)	$(3 \frac{1}{2}, - 2 \sqrt{15})$
51678	Convert from Degrees to Radians	50deg	$50$ degrees
51679	Find Amplitude, Period, and Phase Shift	y=-2sec((3x-2)/4)	$y = - 2 \sec (\frac{3 x - 2}{4})$
51680	Find the Secant of the Angle	(4pi)/3	$\frac{4 π}{3}$
51681	Find Amplitude, Period, and Phase Shift	Y=-8/27sin((pix)/12- square root of 9)-28	$Y = - \frac{8}{27} \sin (\frac{π x}{12} - \sqrt{9}) - 28$
51682	Convert from Degrees to Radians	140deg	$140$ degrees
51683	Find the Length of b	tri{}{30}{}{60}{3}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = \\ a = & 3 \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
51684	Find the Length of b	tri{}{}{13}{}{5}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 13 \\ a = & 5 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
51685	Convert from Radians to Degrees	(2pi)/3rad	$\frac{2 π}{3}$ radians
51686	Find the Other Trig Values in Quadrant II	sin(theta)=0.6	$\sin (θ) = 0.6$
51687	Solve for x in Radians	cos(x)^3=cos(x)	$\cos^{3} (x) = \cos (x)$
51688	Convert from Radians to Degrees	(2pi)/360	$\frac{2 π}{360}$
51689	Find the Cosecant Given the Point	((2 square root of 2)/3,1/3)	$(\frac{2 \sqrt{2}}{3}, \frac{1}{3})$
51690	Find Amplitude, Period, and Phase Shift	f(t)=50sin(pi/10t-pi/2)+53	$f (t) = 50 \sin (\frac{π}{10} t - \frac{π}{2}) + 53$
51691	Find the Cotangent Given the Point	(3 1/2,-2 square root of 15)	$(3 \frac{1}{2}, - 2 \sqrt{15})$
51692	Find the Reference Angle	csc(510 degrees )	$\csc (510 °)$
51693	Find the Cotangent Given the Point	(-3, square root of 3)	$(- 3, \sqrt{3})$
51694	Verify the Identity	8x+2x-7=10x-2-5	$8 x + 2 x - 7 = 10 x - 2 - 5$
51695	Find Trig Functions Using Identities	tan(theta)=-21/20 , sin(theta)<0	$\tan (θ) = - \frac{21}{20}$ , $\sin (θ) < 0$
51696	Find the Other Trig Values in Quadrant II	cot(theta)=-( square root of 3)/8	$\cot (θ) = - \frac{\sqrt{3}}{8}$
51697	Find Amplitude, Period, and Phase Shift	y=1/2sin(pi/3x)	$y = \frac{1}{2} \sin (\frac{π}{3} x)$
51698	Find the Other Trig Values in Quadrant IV	cos(theta)=1	$\cos (θ) = 1$
51699	Find the Tangent of the Angle	pi/6	$\frac{π}{6}$
51700	Find Amplitude, Period, and Phase Shift	y=1-1/2sin(3x-pi/2)	$y = 1 - \frac{1}{2} \sin (3 x - \frac{π}{2})$