Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
39451	Find the Cotangent Given the Point	(( square root of 2)/3,( square root of 7)/3)	$(\frac{\sqrt{2}}{3}, \frac{\sqrt{7}}{3})$ $(\frac{\sqrt{2}}{3}, \frac{\sqrt{7}}{3})$
39452	Find Amplitude, Period, and Phase Shift	y=cos(4pix-5/3)	$y = \cos (4 π x - \frac{5}{3})$ $y = \cos (4 π x - \frac{5}{3})$
39453	Solve for C in Degrees	10cos(C)+1=cos(C)-1	$10 \cos (C) + 1 = \cos (C) - 1$ $10 \cos (C) + 1 = \cos (C) - 1$
39454	Find the Cosecant Given the Point	( square root of 5,2)	$(\sqrt{5}, 2)$ $(\sqrt{5}, 2)$
39455	Solve for x in Degrees	sin(x)^2+sin(x)=0	$\sin^{2} (x) + \sin (x) = 0$ $\sin^{2} (x) + \sin (x) = 0$
39456	Verify the Identity	cot(theta)+tan(theta)=(csc(theta))/(cos(theta))	$\cot (θ) + \tan (θ) = \frac{\csc (θ)}{\cos (θ)}$ $\cot (θ) + \tan (θ) = \frac{\csc (θ)}{\cos (θ)}$
39457	Convert to Polar	(0,-(7pi)/6)	$(0, - \frac{7 π}{6})$ $(0, - \frac{7 π}{6})$
39458	Convert to Rectangular Coordinates	(0,-(7pi)/6)	$(0, - \frac{7 π}{6})$ $(0, - \frac{7 π}{6})$
39459	Determine if the Sides Form a Right Triangle	8 , 10 , 12	$8$ $8$ , $10$ $10$ , $12$ $12$
39460	Verify the Identity	1-sin(x)^2-sin(x)^2=1-2sin(x)^2	$1 - \sin^{2} (x) - \sin^{2} (x) = 1 - 2 \sin^{2} (x)$ $1 - \sin^{2} (x) - \sin^{2} (x) = 1 - 2 \sin^{2} (x)$
39461	Solve for A in Degrees	6sin(A)+4=2sin(A)+8	$6 \sin (A) + 4 = 2 \sin (A) + 8$ $6 \sin (A) + 4 = 2 \sin (A) + 8$
39462	Solve for x in Radians	tan(3x)^2=3	$\tan^{2} (3 x) = 3$ $\tan^{2} (3 x) = 3$
39463	Find the Sine of the Angle	-(3pi)/2	$- \frac{3 π}{2}$ $- \frac{3 π}{2}$
39464	Find the Reference Angle	sin((17pi)/6)	$\sin (\frac{17 π}{6})$ $\sin (\frac{17 π}{6})$
39465	Solve for θ in Degrees	11sin(theta)+2=4sin(theta)+2	$11 \sin (θ) + 2 = 4 \sin (θ) + 2$ $11 \sin (θ) + 2 = 4 \sin (θ) + 2$
39466	Find Amplitude, Period, and Phase Shift	y=-2cot(pi/4x)	$y = - 2 \cot (\frac{π}{4} x)$ $y = - 2 \cot (\frac{π}{4} x)$
39467	Find the Cosecant Given the Point	(2 square root of 5,4)	$(2 \sqrt{5}, 4)$ $(2 \sqrt{5}, 4)$
39468	Solve for x in Radians	cos(x)^2+sin(x)=1	$\cos^{2} (x) + \sin (x) = 1$ $\cos^{2} (x) + \sin (x) = 1$
39469	Solve for θ in Degrees	3sin(theta)^2-4=-4sin(theta)	$3 \sin^{2} (θ) - 4 = - 4 \sin (θ)$ $3 \sin^{2} (θ) - 4 = - 4 \sin (θ)$
39470	Find the Cotangent Given the Point	(2 square root of 5,4)	$(2 \sqrt{5}, 4)$ $(2 \sqrt{5}, 4)$
39471	Solve for θ in Degrees	4csc(theta)+6=-2	$4 \csc (θ) + 6 = - 2$ $4 \csc (θ) + 6 = - 2$
39472	Find Amplitude, Period, and Phase Shift	y=4/3cot(4(x-pi/2))+1	$y = \frac{4}{3} \cot (4 (x - \frac{π}{2})) + 1$ $y = \frac{4}{3} \cot (4 (x - \frac{π}{2})) + 1$
39473	Find the Coterminal Angle	16pi	$16 π$ $16 π$
39474	Find the Length of b	tri{}{30}{}{60}{2}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = \\ a = & 2 \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$ $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = \\ a = & 2 \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
39475	Find the Length of c	tri{6}{30}{}{60}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 6 \\ c = \\ a = \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$ $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 6 \\ c = \\ a = \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
39476	Find Amplitude, Period, and Phase Shift	y=4sin((3x)/2+4/3)	$y = 4 \sin (\frac{3 x}{2} + \frac{4}{3})$ $y = 4 \sin (\frac{3 x}{2} + \frac{4}{3})$
39477	Find the Cosine of the Angle	-(3pi)/4	$- \frac{3 π}{4}$ $- \frac{3 π}{4}$
39478	Verify the Identity	(sec(B)+tan(B))(1-sin(B))=cos(B)	$(\sec (B) + \tan (B)) (1 - \sin (B)) = \cos (B)$ $(\sec (B) + \tan (B)) (1 - \sin (B)) = \cos (B)$
39479	Solve for x in Degrees	8cos(x)tan(x)=-tan(x)	$8 \cos (x) \tan (x) = - \tan (x)$ $8 \cos (x) \tan (x) = - \tan (x)$
39480	Verify the Identity	tan(A)=tan(A)*csc(A)^2+cot(-A)	$\tan (A) = \tan (A) \cdot \csc^{2} (A) + \cot (- A)$ $\tan (A) = \tan (A) \cdot \csc^{2} (A) + \cot (- A)$
39481	Solve for x in Degrees	2sin(x)tan(x)=9tan(x)	$2 \sin (x) \tan (x) = 9 \tan (x)$ $2 \sin (x) \tan (x) = 9 \tan (x)$
39482	Solve the Triangle	tri{15}{}{}{}{9}{106}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 15 \\ c = \\ a = & 9 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 106 \end{matrix} \end{matrix}$ $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 15 \\ c = \\ a = & 9 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 106 \end{matrix} \end{matrix}$
39483	Convert from Radians to Degrees	3.5rad	$3.5$ $3.5$ rad
39484	Solve for θ in Degrees	9cos(theta)^2-24sin(theta)-10=-8sin(theta)+6	$9 \cos^{2} (θ) - 24 \sin (θ) - 10 = - 8 \sin (θ) + 6$ $9 \cos^{2} (θ) - 24 \sin (θ) - 10 = - 8 \sin (θ) + 6$
39485	Find the Trig Value	tan(theta)=24/7 , 0<=theta<=pi/2	$\tan (θ) = \frac{24}{7}$ $\tan (θ) = \frac{24}{7}$ , $0 \leq θ \leq \frac{π}{2}$ $0 \leq θ \leq \frac{π}{2}$
39486	Expand Using Sum/Difference Formulas	csc(pi/2-theta)	$\csc (\frac{π}{2} - θ)$ $\csc (\frac{π}{2} - θ)$
39487	Find the Trig Value	cos(theta)=-3/5 , pi/2<theta<pi	$\cos (θ) = - \frac{3}{5}$ $\cos (θ) = - \frac{3}{5}$ , $\frac{π}{2} < θ < π$ $\frac{π}{2} < θ < π$
39488	Expand Using Sum/Difference Formulas	-1/2(y-x)	$- \frac{1}{2} (y - x)$ $- \frac{1}{2} (y - x)$
39489	Convert from Radians to Degrees	pi/8 radianes	$\frac{π}{8}$ $\frac{π}{8}$ radianes
39490	Expand Using Sum/Difference Formulas	tan(90 degrees -theta)	$\tan (90 ° - θ)$ $\tan (90 ° - θ)$
39491	Solve for θ in Degrees	tan(theta)=(- square root of 3)/3	$\tan (θ) = \frac{- \sqrt{3}}{3}$ $\tan (θ) = \frac{- \sqrt{3}}{3}$
39492	Find the Length of a	tri{6}{}{10}{}{}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 6 \\ c = & 10 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$ $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 6 \\ c = & 10 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
39493	Solve for x in Degrees	sin(x)=cos(x)	$\sin (x) = \cos (x)$ $\sin (x) = \cos (x)$
39494	Convert from Degrees to Radians	arcsin(-0.5)	$\arcsin (- 0.5)$ $\arcsin (- 0.5)$
39495	Find the Coterminal Angle	-895	$- 895$ $- 895$
39496	Expand Using Sum/Difference Formulas	cot((25pi)/2+t)	$\cot (\frac{25 π}{2} + t)$ $\cot (\frac{25 π}{2} + t)$
39497	Solve for x in Degrees	2sin(x)tan(x)+tan(x)=0	$2 \sin (x) \tan (x) + \tan (x) = 0$ $2 \sin (x) \tan (x) + \tan (x) = 0$
39498	Verify the Identity	cos(theta)csc(theta)tan(theta)=1	$\cos (θ) \cdot \csc (θ) \cdot \tan (θ) = 1$ $\cos (θ) \cdot \csc (θ) \cdot \tan (θ) = 1$
39499	Solve for x in Degrees	2(1-cos(x)^2)=3/2	$2 (1 - \cos^{2} (x)) = \frac{3}{2}$ $2 (1 - \cos^{2} (x)) = \frac{3}{2}$
39500	Find Amplitude, Period, and Phase Shift	y=2sin((3x)/2-1)	$y = 2 \sin (\frac{3 x}{2} - 1)$ $y = 2 \sin (\frac{3 x}{2} - 1)$
39501	Find the Reference Angle	cos((7pi)/3)	$\cos (\frac{7 π}{3})$ $\cos (\frac{7 π}{3})$
39502	Verify the Identity	sin(pi/6+x)=1/2(cos(x)+ square root of 3sin(x))	$\sin (\frac{π}{6} + x) = \frac{1}{2} (\cos (x) + \sqrt{3} \sin (x))$ $\sin (\frac{π}{6} + x) = \frac{1}{2} (\cos (x) + \sqrt{3} \sin (x))$
39503	Find the Reference Angle	tan(315 degrees )	$\tan (315 °)$ $\tan (315 °)$
39504	Convert from Degrees to Radians	35deg	$35$ $35$ degrees
39505	Find the Reference Angle	csc(-pi/6)	$\csc (- \frac{π}{6})$ $\csc (- \frac{π}{6})$
39506	Verify the Identity	(cos(x)^2)/(1+sin(x))=1-1/(csc(x))	$\frac{\cos^{2} (x)}{1 + \sin (x)} = 1 - \frac{1}{\csc (x)}$ $\frac{\cos^{2} (x)}{1 + \sin (x)} = 1 - \frac{1}{\csc (x)}$
39507	Solve for B in Degrees	5tan(B)+ square root of 13=0	$5 \tan (B) + \sqrt{13} = 0$ $5 \tan (B) + \sqrt{13} = 0$
39508	Convert from Radians to Degrees	4.5rad	$4.5$ $4.5$ radians
39509	Find the Value Using the Unit Circle	sec(-90 degrees )	$\sec (- 90 °)$ $\sec (- 90 °)$
39510	Expand Using Sum/Difference Formulas	tan(15pi-2t)	$\tan (15 π - 2 t)$ $\tan (15 π - 2 t)$
39511	Find Amplitude, Period, and Phase Shift	y=3+2sin(2x-pi)	$y = 3 + 2 \sin (2 x - π)$ $y = 3 + 2 \sin (2 x - π)$
39512	Find Trig Functions Using Identities	tan(theta)=2 , sin(theta)<0	$\tan (θ) = 2$ $\tan (θ) = 2$ , $\sin (θ) < 0$ $\sin (θ) < 0$
39513	Find the Reference Angle	tan((7pi)/3)	$\tan (\frac{7 π}{3})$ $\tan (\frac{7 π}{3})$
39514	Solve for x in Degrees	2sin(x)^2-cos(x)^2=2	$2 \sin^{2} (x) - \cos^{2} (x) = 2$ $2 \sin^{2} (x) - \cos^{2} (x) = 2$
39515	Expand the Trigonometric Expression	sin(a+b)+sin(a-b)	$\sin (a + b) + \sin (a - b)$ $\sin (a + b) + \sin (a - b)$
39516	Expand Using Sum/Difference Formulas	2(x-1)	$2 (x - 1)$ $2 (x - 1)$
39517	Convert from Degrees to Radians	165*pi/180	$165 \cdot \frac{π}{180}$ $165 \cdot \frac{π}{180}$
39518	Find the Trig Values Using Angle A	tri{4}{}{5}{}{3}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 4 \\ c = & 5 \\ a = & 3 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$ $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 4 \\ c = & 5 \\ a = & 3 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
39519	Solve for x in Radians	tan(x)^5-9tan(x)=0	$\tan^{5} (x) - 9 \tan (x) = 0$ $\tan^{5} (x) - 9 \tan (x) = 0$
39520	Find the Sine of the Angle	(4pi)/3	$\frac{4 π}{3}$ $\frac{4 π}{3}$
39521	Find Amplitude, Period, and Phase Shift	y=-3/2cos((3x)/4)	$y = - \frac{3}{2} \cos (\frac{3 x}{4})$ $y = - \frac{3}{2} \cos (\frac{3 x}{4})$
39522	Convert from Radians to Degrees	-4pirad	$- 4 π$ $- 4 π$ radians
39523	Find the Length of a	tri{5}{}{13}{}{}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 5 \\ c = & 13 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$ $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 5 \\ c = & 13 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
39524	Convert to Rectangular Coordinates	(1.5,-(7pi)/6)	$(1.5, - \frac{7 π}{6})$ $(1.5, - \frac{7 π}{6})$
39525	Solve for x in Radians	sin(3x)=-( square root of 3)/2	$\sin (3 x) = - \frac{\sqrt{3}}{2}$ $\sin (3 x) = - \frac{\sqrt{3}}{2}$