Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
51301	Find the Reference Angle	sin(30 degrees )	$\sin (30 °)$
51302	Find the Other Trig Values in Quadrant IV	sec(theta)=5	$\sec (θ) = 5$
51303	Solve for x in Degrees	sin(x)cos(x)=cos(x)	$\sin (x) \cos (x) = \cos (x)$
51304	Expand Using Sum/Difference Formulas	x(3x+2)	$x (3 x + 2)$
51305	Find Amplitude, Period, and Phase Shift	y=5+8sin(5theta+(3pi)/4)	$y = 5 + 8 \sin (5 θ + \frac{3 π}{4})$
51306	Find the Other Trig Values in Quadrant II	sec(theta)=-13/5	$\sec (θ) = - \frac{13}{5}$
51307	Convert from Radians to Degrees	tan(1)	$\tan (1)$
51308	Solve the Triangle	A=51 degrees , b=11 , c=7	$A = 51 °$ , $b = 11$ , $c = 7$
51309	Find Amplitude, Period, and Phase Shift	y=cos(theta-(2pi)/3)-1	$y = \cos (θ - \frac{2 π}{3}) - 1$
51310	Expand Using Sum/Difference Formulas	sin(x+pi/4)	$\sin (x + \frac{π}{4})$
51311	Convert to Trigonometric Form	(sin(x)^2)/(1+cos(x))	$\frac{\sin^{2} (x)}{1 + \cos (x)}$
51312	Solve for θ in Degrees	25cot(theta)^2-1=0	$25 \cot^{2} (θ) - 1 = 0$
51313	Find Amplitude, Period, and Phase Shift	y=tan(2(x-pi/6))	$y = \tan (2 (x - \frac{π}{6}))$
51314	Verify the Identity	-cos(-x)+sec(x)=tan(x)sin(x)	$- \cos (- x) + \sec (x) = \tan (x) \sin (x)$
51315	Solve for x in Radians	tan(x)=1/2	$\tan (x) = \frac{1}{2}$
51316	Convert to Trigonometric Form	8cos(x)^2	$8 \cos^{2} (x)$
51317	Expand Using Sum/Difference Formulas	sin(theta+pi/2)	$\sin (θ + \frac{π}{2})$
51318	Solve for θ in Radians	cos(theta)+1=1	$\cos (θ) + 1 = 1$
51319	Solve for x in Radians	2cos(x)^2+cos(x)=1	$2 \cos^{2} (x) + \cos (x) = 1$
51320	Solve for x in Radians	cot(x)=- square root of 3	$\cot (x) = - \sqrt{3}$
51321	Find the Sine of the Angle	(5pi)/4	$\frac{5 π}{4}$
51322	Verify the Identity	sec(x)^4-sec(x)^2=tan(x)^2+tan(x)^4	$\sec^{4} (x) - \sec^{2} (x) = \tan^{2} (x) + \tan^{4} (x)$
51323	Solve for θ in Degrees	tan(theta)=-1/2	$\tan (θ) = - \frac{1}{2}$
51324	Find Amplitude, Period, and Phase Shift	y=-4+1/7sin(theta/3-pi/6)	$y = - 4 + \frac{1}{7} \sin (\frac{θ}{3} - \frac{π}{6})$
51325	Solve for θ in Degrees	2sin(theta)=tan(theta)	$2 \sin (θ) = \tan (θ)$
51326	Solve for θ in Radians	csc(theta)+1=0	$\csc (θ) + 1 = 0$
51327	Convert from Degrees to Radians	sin(30 degrees )	$\sin (30 °)$
51328	Convert to Trigonometric Form	tan(2theta)	$\tan (2 θ)$
51329	Convert from Degrees to Radians	4pi	$4 π$
51330	Solve for θ in Degrees	cos(theta)+1=0	$\cos (θ) + 1 = 0$
51331	Find the Reference Angle	( square root of 3)/2	$\frac{\sqrt{3}}{2}$
51332	Convert from Degrees to Radians	100deg	$100$ degrees
51333	Expand Using Sum/Difference Formulas	cos(u+v)	$\cos (u + v)$
51334	Expand Using Sum/Difference Formulas	sin(90-theta)	$\sin (90 - θ)$
51335	Find the Coterminal Angle	(25pi)/3	$\frac{25 π}{3}$
51336	Convert to Trigonometric Form	csc(theta)-sin(theta) ?	$\csc (θ) - \sin (θ)$ ?
51337	Find the Coterminal Angle	-(15pi)/2	$- \frac{15 π}{2}$
51338	Find Amplitude, Period, and Phase Shift	y=1/2sin((4pix)/5)	$y = \frac{1}{2} \sin (\frac{4 π x}{5})$
51339	Solve for θ in Radians	2sin(theta)^2-3sin(theta)-2=0	$2 \sin^{2} (θ) - 3 \sin (θ) - 2 = 0$
51340	Expand Using Sum/Difference Formulas	sin(x-y)	$\sin (x - y)$
51341	Find the Other Trig Values in Quadrant IV	cos(theta)=( square root of 2)/2	$\cos (θ) = \frac{\sqrt{2}}{2}$
51342	Solve for θ in Radians	tan(theta)=3/4	$\tan (θ) = \frac{3}{4}$
51343	Solve for θ in Degrees	4sin(theta)^2-3=0	$4 \sin^{2} (θ) - 3 = 0$
51344	Convert from Radians to Degrees	arcsin(sin(17 degrees ))	$\arcsin (\sin (17 °))$
51345	Solve for x in Degrees	cos(2x)=1/2	$\cos (2 x) = \frac{1}{2}$
51346	Find the Reference Angle	cos((7pi)/6)	$\cos (\frac{7 π}{6})$
51347	Solve for x in Radians	cos(x)^2=1	$\cos^{2} (x) = 1$
51348	Find the Trig Value	tan(theta)=12/5 , pi<theta<(3pi)/2	$\tan (θ) = \frac{12}{5}$ , $π < θ < \frac{3 π}{2}$
51349	Find the Other Trig Values in Quadrant III	sin(theta)=0	$\sin (θ) = 0$
51350	Find the Cosecant Given the Point	(3,1)	$(3, 1)$
51351	Convert to Trigonometric Form	sin(90 degrees -theta)	$\sin (90 ° - θ)$
51352	Find the Length of c	tri{12}{}{}{}{5}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 12 \\ c = \\ a = & 5 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
51353	Find the Other Trig Values in Quadrant IV	csc(theta)=-5/3	$\csc (θ) = - \frac{5}{3}$
51354	Solve for θ in Radians	tan(theta)=4/3	$\tan (θ) = \frac{4}{3}$
51355	Solve for x in Radians	2sin(x)^2=2+cos(x)	$2 \sin^{2} (x) = 2 + \cos (x)$
51356	Solve for θ in Degrees	sin(theta)=0.5	$\sin (θ) = 0.5$
51357	Solve for θ in Radians	sec(theta)=1	$\sec (θ) = 1$
51358	Find the Reference Angle	csc((3pi)/4)	$\csc (\frac{3 π}{4})$
51359	Convert from Radians to Degrees	(2pi)/1	$\frac{2 π}{1}$
51360	Find the Reference Angle	cos(225 degrees )	$\cos (225 °)$
51361	Find the Secant Given the Point	(5,-5)	$(5, - 5)$
51362	Solve for x in Degrees	2cos(x)=1	$2 \cos (x) = 1$
51363	Find Amplitude, Period, and Phase Shift	y=6cos(theta/2+pi/6)-5	$y = 6 \cos (\frac{θ}{2} + \frac{π}{6}) - 5$
51364	Find the Other Trig Values in Quadrant III	csc(theta)=-7/4	$\csc (θ) = - \frac{7}{4}$
51365	Find Amplitude, Period, and Phase Shift	y=5+1/4sin(-6theta-pi/3)	$y = 5 + \frac{1}{4} \sin (- 6 θ - \frac{π}{3})$
51366	Find the Reference Angle	arctan( square root of 3)	$\arctan (\sqrt{3})$
51367	Convert from Degrees to Radians	45 degrees *pi/180	$45 ° \cdot \frac{π}{180}$
51368	Find the Other Trig Values in Quadrant IV	csc(theta)=- square root of 5	$\csc (θ) = - \sqrt{5}$
51369	Solve for x in Radians	5sin(x)=-2cos(x)^2+4	$5 \sin (x) = - 2 \cos^{2} (x) + 4$
51370	Convert from Degrees to Radians	20deg	$20$ degrees
51371	Solve for θ in Degrees	tan(theta)=-1/3	$\tan (θ) = - \frac{1}{3}$
51372	Convert from Radians to Degrees	(7pi)/4rad	$\frac{7 π}{4}$ radians
51373	Solve for x in Radians	csc(x)+1=0	$\csc (x) + 1 = 0$
51374	Find the Other Trig Values in Quadrant III	cot(theta)=2	$\cot (θ) = 2$
51375	Solve for x in Radians	sec(x)=-1	$\sec (x) = - 1$
51376	Solve for θ in Radians	sin(theta)+1=1	$\sin (θ) + 1 = 1$
51377	Convert from Radians to Degrees	cos(1/2)	$\cos (\frac{1}{2})$
51378	Find the Other Trig Values in Quadrant II	csc(theta)=5/3	$\csc (θ) = \frac{5}{3}$
51379	Solve for x in Radians	square root of 2sec(x)-2=0	$\sqrt{2} \sec (x) - 2 = 0$
51380	Find the Secant Given the Point	((2 square root of 2)/3,-1/3)	$(\frac{2 \sqrt{2}}{3}, - \frac{1}{3})$
51381	Convert to Trigonometric Form	sin(theta)+cos(theta)	$\sin (θ) + \cos (θ)$
51382	Find Trig Functions Using Identities	sin(theta)=1/4 , tan(theta)>0	$\sin (θ) = \frac{1}{4}$ , $\tan (θ) > 0$
51383	Convert from Degrees to Radians	15deg	$15$ degrees
51384	Find Amplitude, Period, and Phase Shift	y=sin(pi/4x+1)	$y = \sin (\frac{π}{4} x + 1)$
51385	Solve for x in Degrees	sin(x)cos(x)=3cos(x)	$\sin (x) \cos (x) = 3 \cos (x)$
51386	Verify the Identity	9x+1-9x=5-4	$9 x + 1 - 9 x = 5 - 4$
51387	Solve for θ in Degrees	25sin(theta)^2-1=0	$25 \sin^{2} (θ) - 1 = 0$
51388	Expand Using Sum/Difference Formulas	tan(x+pi/4)	$\tan (x + \frac{π}{4})$
51389	Find the Reference Angle	csc((5pi)/4)	$\csc (\frac{5 π}{4})$
51390	Convert to Trigonometric Form	csc(x)^2-cot(x)^2	$\csc^{2} (x) - \cot^{2} (x)$
51391	Solve for x in Degrees	tan(x)=2	$\tan (x) = 2$
51392	Solve for x in Degrees	2cos(x)- square root of 3=0	$2 \cos (x) - \sqrt{3} = 0$
51393	Verify the Identity	(csc(x)^2-1)sin(x)=cot(x)cos(x)	$(\csc^{2} (x) - 1) \sin (x) = \cot (x) \cos (x)$
51394	Solve for X in Degrees	sin(X)=0.7547	$\sin (X) = 0.7547$
51395	Solve for x in Degrees	2sin(x)+1=0	$2 \sin (x) + 1 = 0$
51396	Solve for θ in Radians	sin(theta)=1/( square root of 2)	$\sin (θ) = \frac{1}{\sqrt{2}}$
51397	Convert from Degrees to Radians	cos(30 degrees )	$\cos (30 °)$
51398	Solve for x in Radians	cos(x)^2-cos(x)=0	$\cos^{2} (x) - \cos (x) = 0$
51399	Find Trig Functions Using Identities	sin(theta)=0 , sec(theta)=-1	$\sin (θ) = 0$ , $\sec (θ) = - 1$
51400	Expand Using Sum/Difference Formulas	sin(pi/2+x)	$\sin (\frac{π}{2} + x)$