Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
49701	Find Trig Functions Using Identities	cos(theta)=2/3	$\cos (θ) = \frac{2}{3}$
49702	Find Trig Functions Using Identities	cos(theta)=1/3	$\cos (θ) = \frac{1}{3}$
49703	Find Trig Functions Using Identities	cos(2theta)=3/5	$\cos (2 θ) = \frac{3}{5}$
49704	Find Trig Functions Using Identities	cos((2pi)/7)^2-sin((2pi)/7)^2	$\cos^{2} (\frac{2 π}{7}) - \sin^{2} (\frac{2 π}{7})$
49705	Find Trig Functions Using Identities	cos(theta)^2-sin(theta)^2=sin(theta)+1	$\cos^{2} (θ) - \sin^{2} (θ) = \sin (θ) + 1$
49706	Find Trig Functions Using Identities	cos(2x)^2	$\cos^{2} (2 x)$
49707	Find Trig Functions Using Identities	sin(theta)=15/17 , cos(theta)=8/17	$\sin (θ) = \frac{15}{17}$ , $\cos (θ) = \frac{8}{17}$
49708	Find Trig Functions Using Identities	sin(theta)=4/5 , cos(theta)=3/5	$\sin (θ) = \frac{4}{5}$ , $\cos (θ) = \frac{3}{5}$
49709	Find Trig Functions Using Identities	P=(1/2,( square root of 3)/2)	$P = (\frac{1}{2}, \frac{\sqrt{3}}{2})$
49710	Find Trig Functions Using Identities	sec(theta)=3/2 , tan(theta)<0	$\sec (θ) = \frac{3}{2}$ , $\tan (θ) < 0$
49711	Find Trig Functions Using Identities	sec(theta)=4/3 , tan(theta)<0	$\sec (θ) = \frac{4}{3}$ , $\tan (θ) < 0$
49712	Find Trig Functions Using Identities	sec(theta)=-2	$\sec (θ) = - 2$
49713	Find Trig Functions Using Identities	sec(theta)=3 , tan(theta)>0	$\sec (θ) = 3$ , $\tan (θ) > 0$
49714	Find Trig Functions Using Identities	sec(theta)=-13/12	$\sec (θ) = - \frac{13}{12}$
49715	Find Trig Functions Using Identities	sin(-theta)	$\sin (- θ)$
49716	Reduce	( square root of (1+u)(1-u))/((1+u)(1-u))	$\frac{\sqrt{(1 + u) (1 - u)}}{(1 + u) (1 - u)}$
49717	Find Trig Functions Using Identities	(( square root of 13)/7,6/7)	$(\frac{\sqrt{13}}{7}, \frac{6}{7})$
49718	Find Trig Functions Using Identities	(24/25,-7/25)	$(\frac{24}{25}, - \frac{7}{25})$
49719	Find Trig Functions Using Identities	(-1/( square root of 17),4/( square root of 17))	$(- \frac{1}{\sqrt{17}}, \frac{4}{\sqrt{17}})$
49720	Find Trig Functions Using Identities	(sec(theta)+csc(theta))/(1+tan(theta))	$\frac{\sec (θ) + \csc (θ)}{1 + \tan (θ)}$
49721	Find Trig Functions Using Identities	(6/7,-( square root of 13)/7)	$(\frac{6}{7}, - \frac{\sqrt{13}}{7})$
49722	Find Trig Functions Using Identities	(cos(theta))/(sin(theta))+(sin(theta))/(cos(theta))	$\frac{\cos (θ)}{\sin (θ)} + \frac{\sin (θ)}{\cos (θ)}$
49723	Find Trig Functions Using Identities	(cos(2x)-cos(4x))/(sin(2x)+sin(4x))	$\frac{\cos (2 x) - \cos (4 x)}{\sin (2 x) + \sin (4 x)}$
49724	Find Trig Functions Using Identities	(-8/17,-15/17)	$(- \frac{8}{17}, - \frac{15}{17})$
49725	Find Trig Functions Using Identities	(14,-14)	$(14, - 14)$
49726	Find Trig Functions Using Identities	(-2,-6)	$(- 2, - 6)$
49727	Find Trig Functions Using Identities	(2,8)	$(2, 8)$
49728	Find Trig Functions Using Identities	(20,48)	$(20, 48)$
49729	Find Trig Functions Using Identities	(-3,-3)	$(- 3, - 3)$
49730	Find Trig Functions Using Identities	(3,-3)	$(3, - 3)$
49731	Find Trig Functions Using Identities	(0,4)	$(0, 4)$
49732	Find Trig Functions Using Identities	(10,-24)	$(10, - 24)$
49733	Find Trig Functions Using Identities	(12,16)	$(12, 16)$
49734	Find Trig Functions Using Identities	(-4,-7)	$(- 4, - 7)$
49735	Find Trig Functions Using Identities	(-5, square root of 11)	$(- 5, \sqrt{11})$
49736	Find Trig Functions Using Identities	(6,-7)	$(6, - 7)$
49737	Find Trig Functions Using Identities	(cos(x-y))/(cos(x)cos(y))=1+tan(x)tan(y)	$\frac{\cos (x - y)}{\cos (x) \cos (y)} = 1 + \tan (x) \tan (y)$
49738	Find Trig Functions Using Identities	(csc(theta))/(cot(theta))=sec(theta)	$\frac{\csc (θ)}{\cot (θ)} = \sec (θ)$
49739	Find Trig Functions Using Identities	(sin(theta)+cos(theta))^2	${(\sin (θ) + \cos (θ))}^{2}$
49740	Find Trig Functions Using Identities	cos((27pi)/8)	$\cos (\frac{27 π}{8})$
49741	Find Trig Functions Using Identities	cos(pi/2-x)	$\cos (\frac{π}{2} - x)$
49742	Find Trig Functions Using Identities	cos(x/2)sin(x/2)	$\cos (\frac{x}{2}) \sin (\frac{x}{2})$
49743	Find Trig Functions Using Identities	cos(15 degrees )	$\cos (15 °)$
49744	Find Trig Functions Using Identities	cos(theta)=4/5 , 270 degrees <theta<360 degrees	$\cos (θ) = \frac{4}{5}$ , $270 ° < θ < 360 °$
49745	Find Trig Functions Using Identities	cos(theta)=-1/2	$\cos (θ) = - \frac{1}{2}$
49746	Find Trig Functions Using Identities	cos(theta)=15/17 , 270 degrees <theta<360 degrees	$\cos (θ) = \frac{15}{17}$ , $270 ° < θ < 360 °$
49747	Find the Tangent Given the Point	(-1/( square root of 2),-1/( square root of 2))	$(- \frac{1}{\sqrt{2}}, - \frac{1}{\sqrt{2}})$
49748	Find the Tangent Given the Point	(1/3,(2 square root of 2)/3)	$(\frac{1}{3}, \frac{2 \sqrt{2}}{3})$
49749	Find the Tangent Given the Point	(1/( square root of 10),-3/( square root of 10))	$(\frac{1}{\sqrt{10}}, - \frac{3}{\sqrt{10}})$
49750	Find the Tangent Given the Point	(-( square root of 39)/8,5/8)	$(- \frac{\sqrt{39}}{8}, \frac{5}{8})$
49751	Find the Tangent Given the Point	(-( square root of 5)/3,2/3)	$(- \frac{\sqrt{5}}{3}, \frac{2}{3})$
49752	Find the Tangent Given the Point	(( square root of 3)/3,( square root of 6)/3)	$(\frac{\sqrt{3}}{3}, \frac{\sqrt{6}}{3})$
49753	Find the Tangent Given the Point	(( square root of 2)/5,( square root of 23)/5)	$(\frac{\sqrt{2}}{5}, \frac{\sqrt{23}}{5})$
49754	Find the Tangent Given the Point	(-7,-7)	$(- 7, - 7)$
49755	Find the Tangent Given the Point	(-5 square root of 3,-5)	$(- 5 \sqrt{3}, - 5)$
49756	Find the Tangent Given the Point	(7,8)	$(7, 8)$
49757	Find the Tangent Given the Point	(4,-6)	$(4, - 6)$
49758	Find the Tangent Given the Point	(-4,1)	$(- 4, 1)$
49759	Find the Tangent Given the Point	(16,12)	$(16, 12)$
49760	Find the Tangent Given the Point	(-16,-16)	$(- 16, - 16)$
49761	Write in Exponential Form	log base 1/4 of 1/64=3	$\log_{\frac{1}{4}} (\frac{1}{64}) = 3$
49762	Write in Exponential Form	fifth root of x	$\sqrt[5]{x}$
49763	Write in Exponential Form	seventh root of x^2	$\sqrt[7]{x^{2}}$
49764	Write in Exponential Form	log base 13 of 169=2	$\log_{13} (169) = 2$
49765	Write in Exponential Form	log base 3 of fourth root of 81=1/4	$\log_{3} (\sqrt[4]{81}) = \frac{1}{4}$
49766	Write in Exponential Form	log base 243 of 81=4/5	$\log_{243} (81) = \frac{4}{5}$
49767	Write in Exponential Form	log base b of x=a	$\log_{b} (x) = a$
49768	Write in Exponential Form	log base x of 32=5	$\log_{x} (32) = 5$
49769	Write in Exponential Form	log of 6	$\log (6)$
49770	Evaluate Using the Given Value	theta=60 degrees	$θ = 60 °$
49771	Evaluate Using the Given Value	2thetafortheta=pi/4	$2 θ f o r θ = \frac{π}{4}$
49772	Evaluate Using the Given Value	f(3)=-9.7	$f (3) = - 9.7$
49773	Evaluate Using the Given Value	359sin(184)	$359 \sin (184)$
49774	Add	4-5i , -1+3i	$4 - 5 i$ , $- 1 + 3 i$
49775	Add	4x^2+x^2	$4 x^{2} + x^{2}$
49776	Expand the Logarithmic Expression	natural log of (5y)/(7z)	$\ln (\frac{5 y}{7 z})$
49777	Expand the Logarithmic Expression	log of (100/a)^4	$\log ({(\frac{100}{a})}^{4})$
49778	Expand the Logarithmic Expression	log base 3 of ( square root of x)/(x^7)	$\log_{3} (\frac{\sqrt{x}}{x^{7}})$
49779	Expand the Logarithmic Expression	log base 3 of a/b	$\log_{3} (\frac{a}{b})$
49780	Expand the Logarithmic Expression	log base g of ( square root of st^5)/(r^8)	$\log_{g} (\frac{\sqrt{s} t^{5}}{r^{8}})$
49781	Expand the Logarithmic Expression	log of ( square root of x)/(10y^3)	$\log (\frac{\sqrt{x}}{10 y^{3}})$
49782	Expand the Logarithmic Expression	log of ( square root of x)/(y^5z^3)	$\log (\frac{\sqrt{x}}{y^{5} z^{3}})$
49783	Expand the Logarithmic Expression	log base a of (x^7)/(yz^8)	$\log_{a} (\frac{x^{7}}{y z^{8}})$
49784	Expand the Logarithmic Expression	log base 8 of cube root of xy^4	$\log_{8} (\sqrt[3]{x y^{4}})$
49785	Expand the Logarithmic Expression	log base 8 of 64x^2	$\log_{8} (64 x^{2})$
49786	Expand the Logarithmic Expression	log base 9 of (xy)/5	$\log_{9} (\frac{x y}{5})$
49787	Find the Roots (Zeros)	f(x)=x^3-11x^2+36x-26	$f (x) = x^{3} - 11 x^{2} + 36 x - 26$
49788	Find the Roots (Zeros)	f(x)=x^2+x+c	$f (x) = x^{2} + x + c$
49789	Find the Roots (Zeros)	f(x)=x^2+4x+3	$f (x) = x^{2} + 4 x + 3$
49790	Find the Roots (Zeros)	f(x)=12cos(x)^2-6	$f (x) = 12 \cos^{2} (x) - 6$
49791	Find the Roots (Zeros)	f(x)=3x^3-16x^2-30x-12	$f (x) = 3 x^{3} - 16 x^{2} - 30 x - 12$
49792	Find the Local Maxima and Minima	f(x)=-2x^3+3x^2-4	$f (x) = - 2 x^{3} + 3 x^{2} - 4$
49793	Find the Roots (Zeros)	p(x)=3x^5-10x^4-21x^2+70x	$p (x) = 3 x^{5} - 10 x^{4} - 21 x^{2} + 70 x$
49794	Solve by Completing the Square	2x^2+12x-10=0	$2 x^{2} + 12 x - 10 = 0$
49795	Find the Foci	((x-2)^2)/36-((y-3)^2)/9=1	$\frac{{(x - 2)}^{2}}{36} - \frac{{(y - 3)}^{2}}{9} = 1$
49796	Find the Foci	((x-3)^2)/25+((y+4)^2)/9=1	$\frac{{(x - 3)}^{2}}{25} + \frac{{(y + 4)}^{2}}{9} = 1$
49797	Find the Foci	((x-1)^2)/16+((y+2)^2)/9=1	$\frac{{(x - 1)}^{2}}{16} + \frac{{(y + 2)}^{2}}{9} = 1$
49798	Find the Foci	-((x-4)^2)/25+((y+3)^2)/49=1	$- \frac{{(x - 4)}^{2}}{25} + \frac{{(y + 3)}^{2}}{49} = 1$
49799	Find the Foci	((y+3)^2)/4-((x-2)^2)/9=1	$\frac{{(y + 3)}^{2}}{4} - \frac{{(x - 2)}^{2}}{9} = 1$
49800	Find the Foci	((y-2)^2)/64-((x-4)^2)/36=1	$\frac{{(y - 2)}^{2}}{64} - \frac{{(x - 4)}^{2}}{36} = 1$