Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
51701	Expand Using Sum/Difference Formulas	sin(x-pi)	$\sin (x - π)$
51702	Solve for x in Radians	sin(x)+cos(x)=1	$\sin (x) + \cos (x) = 1$
51703	Find the Cotangent Given the Point	(( square root of 10)/10,-(3 square root of 10)/10)	$(\frac{\sqrt{10}}{10}, - \frac{3 \sqrt{10}}{10})$
51704	Convert to Trigonometric Form	3(cos(pi/3)+isin(pi/3))*5(cos(pi/4)+isin(pi/4))	$3 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3})) \cdot 5 (\cos (\frac{π}{4}) + i \sin (\frac{π}{4}))$
51705	Expand Using Sum/Difference Formulas	5(2x-4)	$5 (2 x - 4)$
51706	Find the Reference Angle	cot(315 degrees )	$\cot (315 °)$
51707	Find Trig Functions Using Identities	sec(theta)=-3 , tan(theta)>0	$\sec (θ) = - 3$ , $\tan (θ) > 0$
51708	Find Amplitude, Period, and Phase Shift	y=1/2sin(x/3-pi)+5	$y = \frac{1}{2} \sin (\frac{x}{3} - π) + 5$
51709	Find the Other Trig Values in Quadrant IV	cot(theta)=-( square root of 3)/8	$\cot (θ) = - \frac{\sqrt{3}}{8}$
51710	Find the Other Trig Values in Quadrant III	cot(theta)=( square root of 3)/8	$\cot (θ) = \frac{\sqrt{3}}{8}$
51711	Expand Using Sum/Difference Formulas	2(3x+7)	$2 (3 x + 7)$
51712	Find Trig Functions Using Identities	tan(theta)=3/4 , sin(theta)<0	$\tan (θ) = \frac{3}{4}$ , $\sin (θ) < 0$
51713	Convert to Trigonometric Form	cos(theta)+sin(theta)	$\cos (θ) + \sin (θ)$
51714	Convert from Degrees to Radians	tan(30 degrees )	$\tan (30 °)$
51715	Convert to Trigonometric Form	tan(theta/2)+cot(theta/2)	$\tan (\frac{θ}{2}) + \cot (\frac{θ}{2})$
51716	Verify the Identity	(x^2-9)/(x-3)=x+3	$\frac{x^{2} - 9}{x - 3} = x + 3$
51717	Find Amplitude, Period, and Phase Shift	h(x)=4tan((4pi)/3x)	$h (x) = 4 \tan (\frac{4 π}{3} x)$
51718	Convert to Rectangular Coordinates	(5 square root of 3,pi)	$(5 \sqrt{3}, π)$
51719	Find the Secant Given the Point	(-1,0)	$(- 1, 0)$
51720	Find the Other Trig Values in Quadrant IV	cot(theta)=-( square root of 5)/6	$\cot (θ) = - \frac{\sqrt{5}}{6}$
51721	Verify the Identity	sin(a-b)=sin(a)cos(b)-cos(a)sin(b)	$\sin (a - b) = \sin (a) \cos (b) - \cos (a) \sin (b)$
51722	Find Amplitude, Period, and Phase Shift	y=-2/5cos(x+pi/3)	$y = - \frac{2}{5} \cos (x + \frac{π}{3})$
51723	Convert from Radians to Degrees	pi/12rad	$\frac{π}{12}$ rad
51724	Find the Reference Angle	135deg	$135$ degrees
51725	Convert from Degrees to Radians	(135pi)/180	$\frac{135 π}{180}$
51726	Find the Cosecant Given the Point	(-2, square root of 3)	$(- 2, \sqrt{3})$
51727	Convert from Radians to Degrees	arccos(6/8)	$\arccos (\frac{6}{8})$
51728	Find the Reference Angle	tan(-pi/4)	$\tan (- \frac{π}{4})$
51729	Find the Cosecant Given the Point	(-3, square root of 3)	$(- 3, \sqrt{3})$
51730	Verify the Identity	(x^2-4)/(x-2)=x+2	$\frac{x^{2} - 4}{x - 2} = x + 2$
51731	Verify the Identity	(csc(x)cot(x))/(sec(x)tan(x))=cot(x)^3	$\frac{\csc (x) \cot (x)}{\sec (x) \tan (x)} = \cot^{3} (x)$
51732	Verify the Identity	cube root of 6/7=( cube root of 6)/( cube root of 7)	$\sqrt[3]{\frac{6}{7}} = \frac{\sqrt[3]{6}}{\sqrt[3]{7}}$
51733	Convert from Degrees to Radians	165deg	$165$ degrees
51734	Find the Secant Given the Point	((2 square root of 2)/3,1/3)	$(\frac{2 \sqrt{2}}{3}, \frac{1}{3})$
51735	Convert from Degrees to Radians	-270deg	$- 270$ degrees
51736	Find Amplitude, Period, and Phase Shift	y=-3sin(2(x-pi/3))+1	$y = - 3 \sin (2 (x - \frac{π}{3})) + 1$
51737	Find Amplitude, Period, and Phase Shift	y=3csc(x-(3pi)/2)	$y = 3 \csc (x - \frac{3 π}{2})$
51738	Convert to Trigonometric Form	(sin(theta))/(1+cos(theta))	$\frac{\sin (θ)}{1 + \cos (θ)}$
51739	Convert from Degrees to Radians	285deg	$285$ degrees
51740	Find the Reference Angle	240deg	$240$ degrees
51741	Verify the Identity	fourth root of (7^2)/m=( fourth root of 7^2)/( fourth root of m)	$\sqrt[4]{\frac{7^{2}}{m}} = \frac{\sqrt[4]{7^{2}}}{\sqrt[4]{m}}$
51742	Find the Sine of the Angle	pi/4	$\frac{π}{4}$
51743	Find the Cosine of the Angle	60	$60$
51744	Find Amplitude, Period, and Phase Shift	y=-4cos(x-pi/3)+2	$y = - 4 \cos (x - \frac{π}{3}) + 2$
51745	Convert to Trigonometric Form	(2+tan(x)^2)/(sec(x)^2)-1	$\frac{2 + \tan^{2} (x)}{\sec^{2} (x)} - 1$
51746	Solve for x in Radians	sin(2x)=sin(x)	$\sin (2 x) = \sin (x)$
51747	Find the Cosecant Given the Point	((2 square root of 30)/11,1/11)	$(\frac{2 \sqrt{30}}{11}, \frac{1}{11})$
51748	Solve for θ in Degrees	csc(theta)^2+csc(theta)-2=0	$\csc^{2} (θ) + \csc (θ) - 2 = 0$
51749	Expand Using Sum/Difference Formulas	6(x-4y)	$6 (x - 4 y)$
51750	Find the Reference Angle	150deg	$150$ degrees
51751	Find the Reference Angle	sin(pi/6)	$\sin (\frac{π}{6})$
51752	Find Amplitude, Period, and Phase Shift	y=sin(1/3(x+pi/6))	$y = \sin (\frac{1}{3} (x + \frac{π}{6}))$
51753	Verify the Identity	(1+sin(B))(1-sin(B))=1/(sec(B)^2)	$(1 + \sin (B)) (1 - \sin (B)) = \frac{1}{\sec^{2} (B)}$
51754	Find Amplitude, Period, and Phase Shift	y=12cot(x/5-3pi)-7	$y = 12 \cot (\frac{x}{5} - 3 π) - 7$
51755	Find the Reference Angle	tan((5pi)/6)	$\tan (\frac{5 π}{6})$
51756	Find the Other Trig Values in Quadrant III	cos(2A)=-2/3	$\cos (2 A) = \frac{- 2}{3}$
51757	Find the Cosine of the Angle	-(3pi)/2	$- \frac{3 π}{2}$
51758	Find the Reference Angle	tan(-225 degrees )	$\tan (- 225 °)$
51759	Convert from Degrees to Radians	105deg	$105$ degrees
51760	Find Amplitude, Period, and Phase Shift	f(x)=3cot(4t)-5	$f (x) = 3 \cot (4 t) - 5$
51761	Convert to Trigonometric Form	cos(theta)+sin(theta)*tan(theta)	$\cos (θ) + \sin (θ) \cdot \tan (θ)$
51762	Find the Cotangent of the Angle	270	$270$
51763	Solve for z in Degrees	z=3(cos(pi/6)+isin(pi/6))	$z = 3 (\cos (\frac{π}{6}) + i \sin (\frac{π}{6}))$
51764	Convert from Degrees to Radians	160deg	$160$ degrees
51765	Find Trig Functions Using Identities	sin(theta)=5/13 , cos(theta)=-12/13	$\sin (θ) = \frac{5}{13}$ , $\cos (θ) = - \frac{12}{13}$
51766	Convert from Radians to Degrees	(15pi)/4rad	$\frac{15 π}{4}$ rad
51767	Convert to Trigonometric Form	1-(cos(theta)^2)/(1+sin(theta))	$1 - \frac{\cos^{2} (θ)}{1 + \sin (θ)}$
51768	Convert from Degrees to Radians	-pi	$- π$
51769	Convert from Radians to Degrees	12rad	$12$ radians
51770	Expand the Trigonometric Expression	(1-cos(2x))/(sin(2x))	$\frac{1 - \cos (2 x)}{\sin (2 x)}$
51771	Find the Secant Given the Point	(-2, square root of 3)	$(- 2, \sqrt{3})$
51772	Find the Reference Angle	sec(120 degrees )	$\sec (120 °)$
51773	Solve for x in Radians	2sin(2x)+ square root of 3=0	$2 \sin (2 x) + \sqrt{3} = 0$
51774	Convert from Radians to Degrees	(3pi)/4*180/pi	$\frac{3 π}{4} \cdot \frac{180}{π}$
51775	Find Trig Functions Using Identities	sin(theta)=3/5 , cos(theta)=-4/5	$\sin (θ) = \frac{3}{5}$ , $\cos (θ) = - \frac{4}{5}$
51776	Verify the Identity	1/(1+sec(x))+1/(1-sec(x))=-2cot(x)^2	$\frac{1}{1 + \sec (x)} + \frac{1}{1 - \sec (x)} = - 2 \cot^{2} (x)$
51777	Verify the Identity	csc(x)^2*sin(x)=(sec(x)^2-tan(x)^2)/(sin(x))	$\csc^{2} (x) \cdot \sin (x) = \frac{\sec^{2} (x) - \tan^{2} (x)}{\sin (x)}$
51778	Find Amplitude, Period, and Phase Shift	y=2tan(x-pi/3)-3	$y = 2 \tan (x - \frac{π}{3}) - 3$
51779	Find Amplitude, Period, and Phase Shift	y=-8tan(x/7)+5	$y = - 8 \tan (\frac{x}{7}) + 5$
51780	Convert from Radians to Degrees	(5pi)/6rad	$\frac{5 π}{6}$ radians
51781	Solve for x in Degrees	square root of 2cos(x)-1=0	$\sqrt{2} \cos (x) - 1 = 0$
51782	Find Amplitude, Period, and Phase Shift	f(x)=5+3sin(x-pi/4)	$f (x) = 5 + 3 \sin (x - \frac{π}{4})$
51783	Convert from Degrees to Radians	-60deg	$- 60$ degrees
51784	Solve for θ in Degrees	-2sin(theta)^2+cos(theta)+1=0	$- 2 \sin^{2} (θ) + \cos (θ) + 1 = 0$
51785	Expand Using Sum/Difference Formulas	tan(90-theta)	$\tan (90 - θ)$
51786	Find the Coterminal Angle	-765	$- 765$
51787	Verify the Identity	(sin(theta)^2)/(1+cos(theta))=1-cos(theta)	$\frac{\sin^{2} (θ)}{1 + \cos (θ)} = 1 - \cos (θ)$
51788	Verify the Identity	cos(x)^2(tan(x)-sec(x))(tan(x)+sec(x))=sin(x)^2-1	$\cos^{2} (x) (\tan (x) - \sec (x)) (\tan (x) + \sec (x)) = \sin^{2} (x) - 1$
51789	Verify the Identity	cos(t)((cos(t))/(sin(t))+tan(t))=1/(sin(t))	$\cos (t) (\frac{\cos (t)}{\sin (t)} + \tan (t)) = \frac{1}{\sin (t)}$
51790	Solve for θ in Degrees	tan(theta)^2-6tan(theta)+5=0	$\tan^{2} (θ) - 6 \tan (θ) + 5 = 0$
51791	Find the Coterminal Angle	9pi	$9 π$
51792	Find Amplitude, Period, and Phase Shift	y=1/2csc(2x)	$y = \frac{1}{2} \csc (2 x)$
51793	Find Trig Functions Using Identities	cot(theta)=6 , sec(theta)<0	$\cot (θ) = 6$ , $\sec (θ) < 0$
51794	Solve for θ in Degrees	tan(theta)=undefined	$\tan (θ) = u n d e f i n e d$
51795	Find the Other Trig Values in Quadrant II	sec(theta)=- square root of 2	$\sec (θ) = - \sqrt{2}$
51796	Find the Tangent of the Angle	(5pi)/6	$\frac{5 π}{6}$
51797	Find the Reference Angle	cos(-pi/6)	$\cos (- \frac{π}{6})$
51798	Find the Tangent Given the Point	((2 square root of 5)/5,-( square root of 5)/5)	$(\frac{2 \sqrt{5}}{5}, - \frac{\sqrt{5}}{5})$
51799	Find the Reference Angle	tan(120 degrees )	$\tan (120 °)$
51800	Verify the Identity	cot(theta)+csc(theta)=(sin(theta)+tan(theta))/(sin(theta)tan(theta))	$\cot (θ) + \csc (θ) = \frac{\sin (θ) + \tan (θ)}{\sin (θ) \tan (θ)}$