Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
49401	Expand the Logarithmic Expression	log base b of ninth root of (x^4)/(y^9x^5)	$\log_{b} (\sqrt[9]{\frac{x^{4}}{y^{9} x^{5}}})$
49402	Expand the Logarithmic Expression	log base b of (x^2y^4)/(y^2)	$\log_{b} (\frac{x^{2} y^{4}}{y^{2}})$
49403	Expand the Logarithmic Expression	log of x^(1/2)y^3	$\log (x^{\frac{1}{2}} y^{3})$
49404	Expand the Logarithmic Expression	log base c of fourth root of (x^7)/(y^4z^5)	$\log_{c} (\sqrt[4]{\frac{x^{7}}{y^{4} z^{5}}})$
49405	Expand the Logarithmic Expression	log base 2 of 11/(3x)	$\log_{2} (\frac{11}{3 x})$
49406	Expand the Logarithmic Expression	log of x square root of y	$\log (x \sqrt{y})$
49407	Expand the Logarithmic Expression	log base 11 of ( square root of x+y)/(x^2y)	$\log_{11} (\frac{\sqrt{x + y}}{x^{2} y})$
49408	Add	(-4+5i)+2(1+3i)	$(- 4 + 5 i) + 2 (1 + 3 i)$
49409	Evaluate Using the Given Value	y=3.4^(6x) , y-300	$y = {3.4}^{6 x}$ , $y - 300$
49410	Add	1/x+1/(x+2)	$\frac{1}{x} + \frac{1}{x + 2}$
49411	Evaluate Using the Given Value	theta=150 degrees	$θ = 150 °$
49412	Find the Degree	theta=arctan( square root of 3)	$θ = \arctan (\sqrt{3})$
49413	Find the Degree	-4csc(theta)=8	$- 4 \csc (θ) = 8$
49414	Find the Degree	5 square root of 3sec(theta)=10	$5 \sqrt{3} \sec (θ) = 10$
49415	Find the Degree	theta=(4pi)/3	$θ = \frac{4 π}{3}$
49416	Find the Degree	cos(b)=11/18	$\cos (b) = \frac{11}{18}$
49417	Find the Degree	tan(theta)=1/6	$\tan (θ) = \frac{1}{6}$
49418	Find the Degree	tan(theta)=4/7	$\tan (θ) = \frac{4}{7}$
49419	Find the Degree	tan(theta)=0.735054	$\tan (θ) = 0.735054$
49420	Find the Degree	cos(theta)=-1	$\cos (θ) = - 1$
49421	Find the Degree	cos(theta)=12/13	$\cos (θ) = \frac{12}{13}$
49422	Find the Degree	sin(theta)=5/13	$\sin (θ) = \frac{5}{13}$
49423	Find the Degree	sin(2theta)=-1/2	$\sin (2 θ) = - \frac{1}{2}$
49424	Write in Exponential Form	log base 4 of 1/4=-1	$\log_{4} (\frac{1}{4}) = - 1$
49425	Write in Exponential Form	log base x of 8=y	$\log_{x} (8) = y$
49426	Write in Exponential Form	( fourth root of 2)^5	${(\sqrt[4]{2})}^{5}$
49427	Find the x and y Intercepts	f(x)=4cos(2x-pi)	$f (x) = 4 \cos (2 x - π)$
49428	Find the x and y Intercepts	f(x)=-2cos(x)-1	$f (x) = - 2 \cos (x) - 1$
49429	Find the x and y Intercepts	f(x)=2cos(2x-pi)+4	$f (x) = 2 \cos (2 x - π) + 4$
49430	Find the x and y Intercepts	f(x)=(2x+5)^2	$f (x) = {(2 x + 5)}^{2}$
49431	Find the Tangent Given the Point	(1,8)	$(1, 8)$
49432	Find the Tangent Given the Point	P=(1/2,( square root of 3)/2)	$P = (\frac{1}{2}, \frac{\sqrt{3}}{2})$
49433	Find the Tangent Given the Point	(-8,-9)	$(- 8, - 9)$
49434	Find the Tangent Given the Point	(6,6)	$(6, 6)$
49435	Find the Tangent Given the Point	( square root of 7,3)	$(\sqrt{7}, 3)$
49436	Find the Tangent Given the Point	(13/85,84/85)	$(\frac{13}{85}, \frac{84}{85})$
49437	Find the Tangent Given the Point	(-11/61,-60/61)	$(- \frac{11}{61}, - \frac{60}{61})$
49438	Find Trig Functions Using Identities	cos(90 degrees -x)	$\cos (90 ° - x)$
49439	Find Trig Functions Using Identities	cos(theta)cot(theta)+sin(theta)	$\cos (θ) \cot (θ) + \sin (θ)$
49440	Find Trig Functions Using Identities	cos(theta)=-4/5	$\cos (θ) = - \frac{4}{5}$
49441	Find Trig Functions Using Identities	cos(2x)=	$\cos (2 x) =$
49442	Find Trig Functions Using Identities	cos(x+y)	$\cos (x + y)$
49443	Find Trig Functions Using Identities	(9,-12)	$(9, - 12)$
49444	Find Trig Functions Using Identities	(-7,-4)	$(- 7, - 4)$
49445	Find Trig Functions Using Identities	(-7,-6)	$(- 7, - 6)$
49446	Find Trig Functions Using Identities	(-8,15)	$(- 8, 15)$
49447	Find Trig Functions Using Identities	(-8,-7)	$(- 8, - 7)$
49448	Find Trig Functions Using Identities	(-7,2)	$(- 7, 2)$
49449	Find Trig Functions Using Identities	(-6,-7)	$(- 6, - 7)$
49450	Find Trig Functions Using Identities	(-5,-6)	$(- 5, - 6)$
49451	Find Trig Functions Using Identities	(-5,-12)	$(- 5, - 12)$
49452	Find Trig Functions Using Identities	(4,4)	$(4, 4)$
49453	Find Trig Functions Using Identities	(4,-4)	$(4, - 4)$
49454	Find Trig Functions Using Identities	1/(cos(theta))=(tan(theta))/(sin(theta))	$\frac{1}{\cos (θ)} = \frac{\tan (θ)}{\sin (θ)}$
49455	Find Trig Functions Using Identities	1/(1+sin(theta))+1/(1-sin(theta))	$\frac{1}{1 + \sin (θ)} + \frac{1}{1 - \sin (θ)}$
49456	Find Trig Functions Using Identities	(-3,2)	$(- 3, 2)$
49457	Find Trig Functions Using Identities	(2,-5)	$(2, - 5)$
49458	Find Trig Functions Using Identities	(5/13,-12/13)	$(\frac{5}{13}, - \frac{12}{13})$
49459	Find Trig Functions Using Identities	(sec(theta))/(tan(theta))=sin(theta)	$\frac{\sec (θ)}{\tan (θ)} = \sin (θ)$
49460	Find Trig Functions Using Identities	(7/25,24/25)	$(\frac{7}{25}, \frac{24}{25})$
49461	Find Trig Functions Using Identities	(cos(x))/(1-sin(x))	$\frac{\cos (x)}{1 - \sin (x)}$
49462	Find Trig Functions Using Identities	(12/37,35/37)	$(\frac{12}{37}, \frac{35}{37})$
49463	Find Trig Functions Using Identities	(35/37,-12/37)	$(\frac{35}{37}, - \frac{12}{37})$
49464	Find Trig Functions Using Identities	sin(pi/5)cos(pi/2)+sin(pi/2)cos(pi/5)	$\sin (\frac{π}{5}) \cos (\frac{π}{2}) + \sin (\frac{π}{2}) \cos (\frac{π}{5})$
49465	Find Trig Functions Using Identities	sec(theta)=6/5 , tan(theta)<0	$\sec (θ) = \frac{6}{5}$ , $\tan (θ) < 0$
49466	Find Trig Functions Using Identities	sec(theta)=3/2	$\sec (θ) = \frac{3}{2}$
49467	Find Trig Functions Using Identities	sin(theta)=1/6	$\sin (θ) = \frac{1}{6}$
49468	Find Trig Functions Using Identities	sin(theta)=( square root of 7)/6	$\sin (θ) = \frac{\sqrt{7}}{6}$
49469	Find Trig Functions Using Identities	sin(theta)=-( square root of 3)/2	$\sin (θ) = - \frac{\sqrt{3}}{2}$
49470	Find Trig Functions Using Identities	sin(theta)=2/3 , cos(theta)=( square root of 5)/3	$\sin (θ) = \frac{2}{3}$ , $\cos (θ) = \frac{\sqrt{5}}{3}$
49471	Find Trig Functions Using Identities	sin(theta)=-2/5	$\sin (θ) = - \frac{2}{5}$
49472	Find Trig Functions Using Identities	cos(theta)^2-sin(theta)^2=1+sin(theta)	$\cos^{2} (θ) - \sin^{2} (θ) = 1 + \sin (θ)$
49473	Find Trig Functions Using Identities	cos(theta)=5/6	$\cos (θ) = \frac{5}{6}$
49474	Find Trig Functions Using Identities	cos(theta)=4/7	$\cos (θ) = \frac{4}{7}$
49475	Find Trig Functions Using Identities	cos(4x)	$\cos (4 x)$
49476	Find Trig Functions Using Identities	sec(pi/2-theta)	$\sec (\frac{π}{2} - θ)$
49477	Find Trig Functions Using Identities	sec(x)-1/(sec(x))=	$\sec (x) - \frac{1}{\sec (x)} =$
49478	Find Trig Functions Using Identities	cot(theta)=12/5	$\cot (θ) = \frac{12}{5}$
49479	Find Trig Functions Using Identities	sin(45 degrees )	$\sin (45 °)$
49480	Find Trig Functions Using Identities	sin(x)cos(x)tan(x)=1-cos(x)^2	$\sin (x) \cos (x) \tan (x) = 1 - \cos^{2} (x)$
49481	Find Trig Functions Using Identities	tan(x)^2-sec(x)^2	$\tan^{2} (x) - \sec^{2} (x)$
49482	Find Trig Functions Using Identities	tan(x)^2+1	$\tan^{2} (x) + 1$
49483	Find Trig Functions Using Identities	sin(x)cot(x)csc(x) = square root of 2	$\sin (x) \cot (x) \csc (x) = \sqrt{2}$
49484	Find Trig Functions Using Identities	1-2sin(4theta)^2	$1 - 2 \sin^{2} (4 θ)$
49485	Find Trig Functions Using Identities	2sin(x)^2sin(x)^2	$2 \sin^{2} (x) \sin^{2} (x)$
49486	Find Trig Functions Using Identities	2cos(x)^2cos(x)^2	$2 \cos^{2} (x) \cos^{2} (x)$
49487	Find Trig Functions Using Identities	2cos(75 degrees )sin(75 degrees )	$2 \cos (75 °) \sin (75 °)$
49488	Find Trig Functions Using Identities	2sin((2pi)/7)cos((2pi)/7)	$2 \sin (\frac{2 π}{7}) \cos (\frac{2 π}{7})$
49489	Find Trig Functions Using Identities	theta=pi/4	$θ = \frac{π}{4}$
49490	Find Trig Functions Using Identities	1-2sin(theta)^2	$1 - 2 \sin^{2} (θ)$
49491	Convert to a Percentage	(5pi)/3	$\frac{5 π}{3}$
49492	Find Trig Functions Using Identities	sin(theta)cot(theta)=cos(theta)	$\sin (θ) \cot (θ) = \cos (θ)$
49493	Find Trig Functions Using Identities	tan(75 degrees )	$\tan (75 °)$
49494	Find Trig Functions Using Identities	tan(theta)=2	$\tan (θ) = 2$
49495	Find Trig Functions Using Identities	tan(theta)=6	$\tan (θ) = 6$
49496	Find Trig Functions Using Identities	tan(theta)+cot(theta)=1/(sin(theta)cos(theta))	$\tan (θ) + \cot (θ) = \frac{1}{\sin (θ) \cos (θ)}$
49497	Determine if Rational	16pi	$16 π$
49498	Solve the Triangle	a=52 degrees , a=7 , b=3	$a = 52 °$ , $a = 7$ , $b = 3$
49499	Solve the Triangle	a=8 , b=5 , c=4	$a = 8$ , $b = 5$ , $c = 4$
49500	Solve the Triangle	sin(theta)=1/2	$\sin (θ) = \frac{1}{2}$