Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
49601	Find Amplitude, Period, and Phase Shift	f(x)=cos(3x)	$f (x) = \cos (3 x)$
49602	Find Amplitude, Period, and Phase Shift	f(x)=1/4cot(1/2x)-2	$f (x) = \frac{1}{4} \cot (\frac{1}{2} x) - 2$
49603	Find Amplitude, Period, and Phase Shift	f(x)=cos(10x)	$f (x) = \cos (10 x)$
49604	Find Amplitude, Period, and Phase Shift	f(x)=2cot(3x-1)	$f (x) = 2 \cot (3 x - 1)$
49605	Find Amplitude, Period, and Phase Shift	f(x)=2cos(x-pi/3)+1	$f (x) = 2 \cos (x - \frac{π}{3}) + 1$
49606	Find Amplitude, Period, and Phase Shift	f(x)=-3+4sin(7x-(3pi)/2)	$f (x) = - 3 + 4 \sin (7 x - \frac{3 π}{2})$
49607	Find Amplitude, Period, and Phase Shift	f(x)=3sin(2x-1)+4	$f (x) = 3 \sin (2 x - 1) + 4$
49608	Find Amplitude, Period, and Phase Shift	f(x)=-2sin(x-pi/6)+4	$f (x) = - 2 \sin (x - \frac{π}{6}) + 4$
49609	Find Amplitude, Period, and Phase Shift	f(x)=-2sin(x/4)+3	$f (x) = - 2 \sin (\frac{x}{4}) + 3$
49610	Find Amplitude, Period, and Phase Shift	f(x)=4cos(7x+(7pi)/4)	$f (x) = 4 \cos (7 x + \frac{7 π}{4})$
49611	Find Amplitude, Period, and Phase Shift	f(x)=4sin(8x+(5pi)/6)-2	$f (x) = 4 \sin (8 x + \frac{5 π}{6}) - 2$
49612	Find Amplitude, Period, and Phase Shift	f(x)=4sin(12x)-2	$f (x) = 4 \sin (12 x) - 2$
49613	Find Amplitude, Period, and Phase Shift	f(x)=5sin(x-pi)+3	$f (x) = 5 \sin (x - π) + 3$
49614	Find Amplitude, Period, and Phase Shift	f(x)=9sin(2x+5)-1	$f (x) = 9 \sin (2 x + 5) - 1$
49615	Find Amplitude, Period, and Phase Shift	f(x)=8sin(6x+pi/4)-3	$f (x) = 8 \sin (6 x + \frac{π}{4}) - 3$
49616	Find Amplitude, Period, and Phase Shift	f(x)=7cos(4pix)+3	$f (x) = 7 \cos (4 π x) + 3$
49617	Find Amplitude, Period, and Phase Shift	f(t)=-4sin(7t+3)	$f (t) = - 4 \sin (7 t + 3)$
49618	Find Amplitude, Period, and Phase Shift	f(t)=3cos(1/3t-(5pi)/6)	$f (t) = 3 \cos (\frac{1}{3} t - \frac{5 π}{6})$
49619	Find Amplitude, Period, and Phase Shift	f(t)=2cos(-4t)	$f (t) = 2 \cos (- 4 t)$
49620	Find Amplitude, Period, and Phase Shift	f(t)=-1/4csc(2t)	$f (t) = - \frac{1}{4} \csc (2 t)$
49621	Find Amplitude, Period, and Phase Shift	f(t)=-cos(3t)	$f (t) = - \cos (3 t)$
49622	Find the Maximum/Minimum Value	f(x)=-(x-5)^2+3	$f (x) = - {(x - 5)}^{2} + 3$
49623	Find the Maximum/Minimum Value	f(x)=1/2cos(2x)-1	$f (x) = \frac{1}{2} \cos (2 x) - 1$
49624	Find the Maximum/Minimum Value	f(x)=2sin(2x-pi)+2	$f (x) = 2 \sin (2 x - π) + 2$
49625	Find the Maximum/Minimum Value	f(x)=cos(x)	$f (x) = \cos (x)$
49626	Find the Maximum/Minimum Value	f(x)=-4sin(x-0.5)+11	$f (x) = - 4 \sin (x - 0.5) + 11$
49627	Find the Maximum/Minimum Value	f(x)=4cos(x)	$f (x) = 4 \cos (x)$
49628	Find the Maximum/Minimum Value	f(x)=3sin(x)	$f (x) = 3 \sin (x)$
49629	Find the Vertex	f(x)=3x^2-2x-3	$f (x) = 3 x^{2} - 2 x - 3$
49630	Divide Using Synthetic Division	(2x^3-x^2-10x-9)÷(x-1/2)	$(2 x^{3} - x^{2} - 10 x - 9) \div (x - \frac{1}{2})$
49631	Find Amplitude, Period, and Phase Shift	g(x)=-9cos(pi/2x-6)+8	$g (x) = - 9 \cos (\frac{π}{2} x - 6) + 8$
49632	Write in y=mx+b Form	2x+3y=-17	$2 x + 3 y = - 17$
49633	Write in y=mx+b Form	x+y=1	$x + y = 1$
49634	Find All Complex Number Solutions	x^4=4	$x^{4} = 4$
49635	Find All Complex Number Solutions	x^2=-4i	$x^{2} = - 4 i$
49636	Find All Complex Number Solutions	theta=0 degrees	$θ = 0 °$
49637	Find All Complex Number Solutions	sin(x)-cos(x)=6x	$\sin (x) - \cos (x) = 6 x$
49638	Find All Complex Number Solutions	z=-5+5i	$z = - 5 + 5 i$
49639	Write in y=mx+b Form	x+2y=2	$x + 2 y = 2$
49640	Determine if Rational	-13	$- 13$
49641	Determine if Rational	- square root of 49	$- \sqrt{49}$
49642	Determine if Rational	square root of 58	$\sqrt{58}$
49643	Determine if Rational	square root of 37	$\sqrt{37}$
49644	Find Trig Functions Using Identities	tan(theta)=1/8	$\tan (θ) = \frac{1}{8}$
49645	Find Trig Functions Using Identities	sin(x)=-8/17	$\sin (x) = - \frac{8}{17}$
49646	Find Trig Functions Using Identities	tan(theta)=-3/4 , cos(theta)<0	$\tan (θ) = - \frac{3}{4}$ , $\cos (θ) < 0$
49647	Find Trig Functions Using Identities	tan(theta)=-8/15 , cos(theta)<0	$\tan (θ) = - \frac{8}{15}$ , $\cos (θ) < 0$
49648	Find Trig Functions Using Identities	sin(x)^2-cos(x)^2=1-2cos(x)^2	$\sin^{2} (x) - \cos^{2} (x) = 1 - 2 \cos^{2} (x)$
49649	Find Trig Functions Using Identities	sin(theta)^4-cos(theta)^4	$\sin^{4} (θ) - \cos^{4} (θ)$
49650	Find Trig Functions Using Identities	sin(x)^4+cos(x)^4	$\sin^{4} (x) + \cos^{4} (x)$
49651	Find Trig Functions Using Identities	sin(2x)=2sin(x)cos(x)	$\sin (2 x) = 2 \sin (x) \cos (x)$
49652	Find Trig Functions Using Identities	sin(85 degrees )cos(40 degrees )-cos(85 degrees )sin(40 degrees )	$\sin (85 °) \cos (40 °) - \cos (85 °) \sin (40 °)$
49653	Find Trig Functions Using Identities	sin(theta)sec(theta)cot(theta)=1	$\sin (θ) \sec (θ) \cot (θ) = 1$
49654	Determine if Rational	15/19	$\frac{15}{19}$
49655	Determine if Rational	(7pi)/6	$\frac{7 π}{6}$
49656	Find Trig Functions Using Identities	1-2sin(3theta)^2	$1 - 2 \sin^{2} (3 θ)$
49657	Find Trig Functions Using Identities	1-2sin(x)^2+sin(x)^4	$1 - 2 \sin^{2} (x) + \sin^{4} (x)$
49658	Find Trig Functions Using Identities	120 degrees	$120 °$
49659	Find Trig Functions Using Identities	1-2cos(x)^2	$1 - 2 \cos^{2} (x)$
49660	Find Trig Functions Using Identities	1-(cos(theta)^2)/(1+sin(theta))=sin(theta)	$1 - \frac{\cos^{2} (θ)}{1 + \sin (θ)} = \sin (θ)$
49661	Find Trig Functions Using Identities	theta=pi/6	$θ = \frac{π}{6}$
49662	Find Trig Functions Using Identities	theta=(11pi)/6	$θ = \frac{11 π}{6}$
49663	Find Trig Functions Using Identities	theta=-(17pi)/6	$θ = - \frac{17 π}{6}$
49664	Find Trig Functions Using Identities	theta=150 degrees	$θ = 150 °$
49665	Find Trig Functions Using Identities	cos(60 degrees +theta)	$\cos (60 ° + θ)$
49666	Find Trig Functions Using Identities	cos(90 degrees -theta)	$\cos (90 ° - θ)$
49667	Find Trig Functions Using Identities	2cos(x)^2	$2 \cos^{2} (x)$
49668	Find Trig Functions Using Identities	1-sin(theta)^2	$1 - \sin^{2} (θ)$
49669	Find Trig Functions Using Identities	2cos(pi/9)^2-1	$2 \cos^{2} (\frac{π}{9}) - 1$
49670	Find Trig Functions Using Identities	2cos(theta/5)^2-1	$2 \cos^{2} (\frac{θ}{5}) - 1$
49671	Find Trig Functions Using Identities	tan(pi/12)	$\tan (\frac{π}{12})$
49672	Find Trig Functions Using Identities	tan(theta)=-3/4	$\tan (θ) = - \frac{3}{4}$
49673	Find Trig Functions Using Identities	tan(x)(cot(x)-cos(x))=	$\tan (x (\cot (x) - \cos (x))) =$
49674	Find Trig Functions Using Identities	tan(theta)^2+1	$\tan^{2} (θ) + 1$
49675	Find Trig Functions Using Identities	sin(x)^2-cos(x)^2	$\sin^{2} (x) - \cos^{2} (x)$
49676	Find Trig Functions Using Identities	sin(x)cos(x)=( square root of 3)/4	$\sin (x) \cos (x) = \frac{\sqrt{3}}{4}$
49677	Find Trig Functions Using Identities	cos(x)cot(x)+sin(x)	$\cos (x) \cot (x) + \sin (x)$
49678	Find Trig Functions Using Identities	cot(pi/2-x)	$\cot (\frac{π}{2} - x)$
49679	Find Trig Functions Using Identities	csc(theta)*cos(theta)=cot(theta)	$\csc (θ) \cdot \cos (θ) = \cot (θ)$
49680	Find Trig Functions Using Identities	csc(theta)tan(theta)=sec(theta)	$\csc (θ) \tan (θ) = \sec (θ)$
49681	Find Trig Functions Using Identities	sec(theta)=5/3	$\sec (θ) = \frac{5}{3}$
49682	Find Trig Functions Using Identities	sec(x)^2-1	$\sec^{2} (x) - 1$
49683	Find Trig Functions Using Identities	sec(x)-cos(x)	$\sec (x) - \cos (x)$
49684	Find Trig Functions Using Identities	sin(pi/2-x)	$\sin (\frac{π}{2} - x)$
49685	Find Trig Functions Using Identities	sin(90 degrees -theta)	$\sin (90 ° - θ)$
49686	Find Trig Functions Using Identities	sin(theta)+cot(theta)cos(theta)	$\sin (θ) + \cot (θ) \cos (θ)$
49687	Find Trig Functions Using Identities	cos(3x)	$\cos (3 x)$
49688	Find Trig Functions Using Identities	cot(theta)+tan(theta)	$\cot (θ) + \tan (θ)$
49689	Find Trig Functions Using Identities	cot(theta)=12/5 , sin(theta)>0	$\cot (θ) = \frac{12}{5}$ , $\sin (θ) > 0$
49690	Find Trig Functions Using Identities	cot(theta)=3/4	$\cot (θ) = \frac{3}{4}$
49691	Find Trig Functions Using Identities	cot(theta)=3/4 , sin(theta)<0	$\cot (θ) = \frac{3}{4}$ , $\sin (θ) < 0$
49692	Find Trig Functions Using Identities	cot(theta)=4/3 , sin(theta)<0	$\cot (θ) = \frac{4}{3}$ , $\sin (θ) < 0$
49693	Find Trig Functions Using Identities	cot(theta)=3 , cos(theta)<0	$\cot (θ) = 3$ , $\cos (θ) < 0$
49694	Find Trig Functions Using Identities	csc(theta)=(2 square root of 3)/3	$\csc (θ) = \frac{2 \sqrt{3}}{3}$
49695	Find Trig Functions Using Identities	cos(theta)=5/13	$\cos (θ) = \frac{5}{13}$
49696	Find Trig Functions Using Identities	cos(theta)=2/3	$\cos (θ) = \frac{2}{3}$
49697	Find Trig Functions Using Identities	cos(theta)=1/3	$\cos (θ) = \frac{1}{3}$
49698	Find Trig Functions Using Identities	cos(2theta)=3/5	$\cos (2 θ) = \frac{3}{5}$
49699	Find Trig Functions Using Identities	cos((2pi)/7)^2-sin((2pi)/7)^2	$\cos^{2} (\frac{2 π}{7}) - \sin^{2} (\frac{2 π}{7})$
49700	Find Trig Functions Using Identities	cos(theta)^2-sin(theta)^2=sin(theta)+1	$\cos^{2} (θ) - \sin^{2} (θ) = \sin (θ) + 1$