Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
45101	Solve the Triangle	A=56 , B=48 , a=15	$A = 56$ , $B = 48$ , $a = 15$
45102	Solve the Triangle	A=59 , B=64 , a=7.1	$A = 59$ , $B = 64$ , $a = 7.1$
45103	Solve the Triangle	a=6 , b=12 , c=13	$a = 6$ , $b = 12$ , $c = 13$
45104	Rationalize the Denominator	( square root of n)/( square root of n- square root of x)	$\frac{\sqrt{n}}{\sqrt{n} - \sqrt{x}}$
45105	Rationalize the Denominator	( cube root of 3x)/( cube root of 5y)	$\frac{\sqrt[3]{3 x}}{\sqrt[3]{5 y}}$
45106	Rationalize the Denominator	( cube root of 5x)/( cube root of 4y^7)	$\frac{\sqrt[3]{5 x}}{\sqrt[3]{4 y^{7}}}$
45107	Rationalize the Denominator	( fourth root of b^9c^3)/( square root of bc)	$\frac{\sqrt[4]{b^{9} c^{3}}}{\sqrt{b c}}$
45108	Rationalize the Denominator	( fourth root of 2s)/( fourth root of 125t^3)	$\frac{\sqrt[4]{2 s}}{\sqrt[4]{125 t^{3}}}$
45109	Rationalize the Denominator	( fourth root of 3y)/( fourth root of 8x^5)	$\frac{\sqrt[4]{3 y}}{\sqrt[4]{8 x^{5}}}$
45110	Rationalize the Denominator	(x^2)/( square root of 10- square root of 5)	$\frac{x^{2}}{\sqrt{10} - \sqrt{5}}$
45111	Rationalize the Denominator	1/(( square root of 3xy)^8)	$\frac{1}{{(\sqrt{3 x y})}^{8}}$
45112	Rationalize the Denominator	1/( square root of 1/( square root of x))	$\frac{1}{\sqrt{\frac{1}{\sqrt{x}}}}$
45113	Rationalize the Denominator	1/( square root of 1-x^2)	$\frac{1}{\sqrt{1 - x^{2}}}$
45114	Rationalize the Denominator	1/( square root of x+ square root of y)	$\frac{1}{\sqrt{x} + \sqrt{y}}$
45115	Rationalize the Denominator	1/( square root of x^5)	$\frac{1}{\sqrt{x^{5}}}$
45116	Rationalize the Denominator	1/( cube root of x^4)	$\frac{1}{\sqrt[3]{x^{4}}}$
45117	Rationalize the Denominator	1/( fifth root of b^6)	$\frac{1}{\sqrt[5]{b^{6}}}$
45118	Rationalize the Denominator	1/(1- cube root of x^2)	$\frac{1}{1 - \sqrt[3]{x^{2}}}$
45119	Rationalize the Denominator	1/(2p* square root of 10010^-30.01*10^-6)	$\frac{1}{2 p \cdot \sqrt{100 \cdot 10^{- 3} \cdot 0.01 \cdot 10^{- 6}}}$
45120	Rationalize the Denominator	1/(sin(( square root of 21)/5))	$\frac{1}{\sin (\frac{\sqrt{21}}{5})}$
45121	Rationalize the Denominator	(2s^8)/( fourth root of 125t^5)	$\frac{2 s^{8}}{\sqrt[4]{125 t^{5}}}$
45122	Rationalize the Denominator	(2 square root of x-5 square root of y)/( square root of x+ square root of y)	$\frac{2 \sqrt{x} - 5 \sqrt{y}}{\sqrt{x} + \sqrt{y}}$
45123	Rationalize the Denominator	(2- square root of y)/(5+ square root of y)	$\frac{2 - \sqrt{y}}{5 + \sqrt{y}}$
45124	Rationalize the Denominator	2/( square root of x)	$\frac{2}{\sqrt{x}}$
45125	Find the Sine Given the Point	(-0.5,-0.5)	$(- 0.5, - 0.5)$
45126	Find the Sine Given the Point	(0.5,0.87)	$(0.5, 0.87)$
45127	Find the Sine Given the Point	(0.5,6.1)	$(0.5, 6.1)$
45128	Find the Sine Given the Point	(0.791,1)	$(0.791, 1)$
45129	Find the Sine Given the Point	(0.45,0.024)	$(0.45, 0.024)$
45130	Find the Sine Given the Point	(0.47,0.88)	$(0.47, 0.88)$
45131	Find the Sine Given the Point	((- square root of 11)/6,-5/6)	$(\frac{- \sqrt{11}}{6}, \frac{- 5}{6})$
45132	Find the Sine Given the Point	(( square root of 13)/4,-( square root of 3)/4)	$(\frac{\sqrt{13}}{4}, - \frac{\sqrt{3}}{4})$
45133	Find the Sine Given the Point	(-( square root of 13)/7,6/7)	$(- \frac{\sqrt{13}}{7}, \frac{6}{7})$
45134	Find the Sine Given the Point	(-( square root of 19)/5,-( square root of 6)/5)	$(- \frac{\sqrt{19}}{5}, - \frac{\sqrt{6}}{5})$
45135	Find the Sine Given the Point	(0.30,0.16)	$(0.3, 0.16)$
45136	Rationalize the Denominator	(3x^3)/( square root of 10x-12)	$\frac{3 x^{3}}{\sqrt{10 x - 12}}$
45137	Rationalize the Denominator	(2cos(t))/( square root of 1-cos(t)^2)	$\frac{2 \cos (t)}{\sqrt{1 - \cos^{2} (t)}}$
45138	Rationalize the Denominator	(2tan(( square root of 2)/4))/(1-tan(( square root of 2)/4)^2)	$\frac{2 \tan (\frac{\sqrt{2}}{4})}{1 - \tan^{2} (\frac{\sqrt{2}}{4})}$
45139	Rationalize the Denominator	(2x)/( square root of x-5)	$\frac{2 x}{\sqrt{x - 5}}$
45140	Find the Sine Given the Point	(0.21,0.72)	$(0.21, 0.72)$
45141	Rationalize the Denominator	-8/( square root of x-5)	$- \frac{8}{\sqrt{x - 5}}$
45142	Rationalize the Denominator	8/(7+ square root of x)	$\frac{8}{7 + \sqrt{x}}$
45143	Rationalize the Denominator	8/(i square root of 161)	$\frac{8}{i \sqrt{161}}$
45144	Rationalize the Denominator	-9/(2 square root of x-3)	$\frac{- 9}{2 \sqrt{x} - 3}$
45145	Rationalize the Denominator	(cos(( square root of 5)/5))/(sin((2 square root of 5)/5))	$\frac{\cos (\frac{\sqrt{5}}{5})}{\sin (\frac{2 \sqrt{5}}{5})}$
45146	Rationalize the Denominator	h/(h square root of x+h+h square root of x)	$\frac{h}{h \sqrt{x + h} + h \sqrt{x}}$
45147	Rationalize the Denominator	(r-9)/( square root of r-3)	$\frac{r - 9}{\sqrt{r - 3}}$
45148	Solve the Triangle	a=7 , b=11 , c=7	$a = 7$ , $b = 11$ , $c = 7$
45149	Solve the Triangle	a=7 , b=8 , c=9	$a = 7$ , $b = 8$ , $c = 9$
45150	Solve the Triangle	A=70 , b=3 , c=5	$A = 70$ , $b = 3$ , $c = 5$
45151	Solve the Triangle	a=8 , b=11 , C=107	$a = 8$ , $b = 11$ , $C = 107$
45152	Rationalize the Denominator	(sin(1/2))/(cos(( square root of 3)/2))	$\frac{\sin (\frac{1}{2})}{\cos (\frac{\sqrt{3}}{2})}$
45153	Rationalize the Denominator	(sin(5/( square root of 29)))/(cos(2/( square root of 29)))	$\frac{\sin (\frac{5}{\sqrt{29}})}{\cos (\frac{2}{\sqrt{29}})}$
45154	Rationalize the Denominator	(sin(0))/( square root of 1-sin(2)*0)	$\frac{\sin (0)}{\sqrt{1 - \sin (2) \cdot 0}}$
45155	Rationalize the Denominator	(sin(60))/(10 square root of 3)	$\frac{\sin (60)}{10 \sqrt{3}}$
45156	Rationalize the Denominator	(sin(60))/(18 square root of 3)	$\frac{\sin (60)}{18 \sqrt{3}}$
45157	Rationalize the Denominator	(tan(12/5)+tan( square root of 3))/(1-tan(12/5)*tan( square root of 3))	$\frac{\tan (\frac{12}{5}) + \tan (\sqrt{3})}{1 - \tan (\frac{12}{5}) \cdot \tan (\sqrt{3})}$
45158	Rationalize the Denominator	x/( square root of x^2+1)	$\frac{x}{\sqrt{x^{2} + 1}}$
45159	Rationalize the Denominator	x/( square root of x^2-36)	$\frac{x}{\sqrt{x^{2} - 36}}$
45160	Rationalize the Denominator	(x+2)/(y- square root of 2)	$\frac{x + 2}{y - \sqrt{2}}$
45161	Rationalize the Denominator	(x-4)/( square root of x-2)	$\frac{x - 4}{\sqrt{x} - 2}$
45162	Find the Sine Given the Point	(0.08,0.15)	$(0.08, 0.15)$
45163	Find the Sine Given the Point	(-2,7)	$(- 2, 7)$
45164	Find the Sine Given the Point	(2,9)	$(2, 9)$
45165	Simplify	2sin(theta/3)cos(theta/3)	$2 \sin (\frac{θ}{3}) \cos (\frac{θ}{3})$
45166	Find the Sine Given the Point	(-2,(3pi)/4)	$(- 2, \frac{3 π}{4})$
45167	Find the Sine Given the Point	(2.5,6)	$(2.5, 6)$
45168	Find the Sine Given the Point	(-2 square root of 3,2)	$(- 2 \sqrt{3}, 2)$
45169	Find the Sine Given the Point	(21,23)	$(21, 23)$
45170	Find the Sine Given the Point	(-24,25)	$(- 24, 25)$
45171	Find the Sine Given the Point	(-24,70)	$(- 24, 70)$
45172	Find the Sine Given the Point	(3,pi/3)	$(3, \frac{π}{3})$
45173	Find the Sine Given the Point	(3,pi/2)	$(3, \frac{π}{2})$
45174	Find the Sine Given the Point	(3,pi/6)	$(3, \frac{π}{6})$
45175	Find the Sine Given the Point	(3.3942729,-0.25)	$(3.3942729, - 0.25)$
45176	Find the Sine Given the Point	(3.5,12)	$(3.5, 12)$
45177	Find the Sine Given the Point	(3.7,6.3)	$(3.7, 6.3)$
45178	Find the Sine Given the Point	(30,16)	$(30, 16)$
45179	Find the Sine Given the Point	(32,pi/4)	$(32, \frac{π}{4})$
45180	Find the Sine Given the Point	(33,4/60)	$(33, \frac{4}{60})$
45181	Find the Sine Given the Point	(-34,55)	$(- 34, 55)$
45182	Find the Sine Given the Point	(35.36,20.52)	$(35.36, 20.52)$
45183	Find the Sine Given the Point	(36,52)	$(36, 52)$
45184	Find the Sine Given the Point	(36.24,24.45)	$(36.24, 24.45)$
45185	Find the Sine Given the Point	(37.87,23.76)	$(37.87, 23.76)$
45186	Find the Sine Given the Point	(4,(pi/5))	$(4, (\frac{π}{5}))$
45187	Find the Sine Given the Point	(4,(3pi)/4)	$(4, \frac{3 π}{4})$
45188	Find the Sine Given the Point	(-4,(7pi)/6)	$(- 4, \frac{7 π}{6})$
45189	Find the Sine Given the Point	(4,pi/2)	$(4, \frac{π}{2})$
45190	Expand the Trigonometric Expression	cos(a+b)	$\cos (a + b)$
45191	Find the Exact Value	arcsin(7/8)	$\arcsin (\frac{7}{8})$
45192	Find the Sine Given the Point	(-3,8)	$(- 3, 8)$
45193	Find the Sine Given the Point	(3,-11)	$(3, - 11)$
45194	Find the Sine Given the Point	(3,12)	$(3, 12)$
45195	Find the Sine Given the Point	(3,150)	$(3, 150)$
45196	Find the Sine Given the Point	(3,2)	$(3, 2)$
45197	Find the Sine Given the Point	(-3, square root of 7)	$(- 3, \sqrt{7})$
45198	Find the Sine Given the Point	(3,0)	$(3, 0)$
45199	Verify the Identity	tan(x-pi/4)=tan(x)-1	$\tan (x - \frac{π}{4}) = \tan (x) - 1$
45200	Find the Sine Given the Point	(-3,30)	$(- 3, 30)$