Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
2301	Find the Exact Value	cot(pi/13)	$\cot (\frac{π}{13})$
2302	Find the Exact Value	cot(arccos(7/25))	$\cot (\arccos (\frac{7}{25}))$
2303	Find the Exact Value	cot(arcsin(2/5))	$\cot (\arcsin (\frac{2}{5}))$
2304	Find the Exact Value	csc((13pi)/12)	$\csc (\frac{13 π}{12})$
2305	Find the Exact Value	cot(-4pi)	$\cot (- 4 π)$
2306	Find the Exact Value	cot(78)	$\cot (78)$
2307	Find the Exact Value	(2tan((7pi)/8))/(1-tan((7pi)/8)^2)	$\frac{2 \tan (\frac{7 π}{8})}{1 - \tan^{2} (\frac{7 π}{8})}$
2308	Find the Exact Value	arccos(-0.79)	$\arccos (- 0.79)$
2309	Find the Exact Value	arcsin(3/7)	$\arcsin (\frac{3}{7})$
2310	Find the Exact Value	arcsin(1/7)	$\arcsin (\frac{1}{7})$
2311	Find the Exact Value	sec(5)^2	$\sec^{2} (5)$
2312	Find the Exact Value	arccos(tan(-pi/4))	$\arccos (\tan (- \frac{π}{4}))$
2313	Find the Exact Value	arccos(sin((3pi)/2))	$\arccos (\sin (\frac{3 π}{2}))$
2314	Verify the Identity	tan(2x)-tan(2x)tan(x)^2=2	$\tan (2 x) - \tan (2 x) \tan^{2} (x) = 2$
2315	Verify the Identity	sin(x+(3pi)/2)=-cos(x)	$\sin (x + \frac{3 π}{2}) = - \cos (x)$
2316	Verify the Identity	sin(x)=csc(x)	$\sin (x) = \csc (x)$
2317	Find the Exact Value	arccos(cos(-(7pi)/4))	$\arccos (\cos (- \frac{7 π}{4}))$
2318	Find the Exact Value	arccos(cos(37))	$\arccos (\cos (37))$
2319	Find the Exact Value	2cos(pi/3)	$2 \cos (\frac{π}{3})$
2320	Find the Exact Value	6sin(120)	$6 \sin (120)$
2321	Find the Exact Value	30tan(21)	$30 \tan (21)$
2322	Find the Exact Value	2cos(pi/12-1)^2	$2 \cos^{2} (\frac{π}{12} - 1)$
2323	Find the Exact Value	3sin((3pi)/2)	$3 \sin (\frac{3 π}{2})$
2324	Find the Exact Value	3cos(2pi)	$3 \cos (2 π)$
2325	Find the Exact Value	arctan(12)	$\arctan (12)$
2326	Find the Exact Value	arctan(-29)	$\arctan (- 29)$
2327	Find the Exact Value	100cos(35)	$100 \cos (35)$
2328	Find the Exact Value	arcsin(sin(1/2))	$\arcsin (\sin (\frac{1}{2}))$
2329	Expand the Trigonometric Expression	sin(arccos(x))	$\sin (\arccos (x))$
2330	Expand the Trigonometric Expression	(x+4)^2	${(x + 4)}^{2}$
2331	Expand the Trigonometric Expression	sin(arctan(x))	$\sin (\arctan (x))$
2332	Expand the Trigonometric Expression	sin(255)	$\sin (255)$
2333	Expand the Trigonometric Expression	sin(4x)+sin(8x)	$\sin (4 x) + \sin (8 x)$
2334	Expand the Trigonometric Expression	2csc(x)^2	$2 \csc^{2} (x)$
2335	Expand the Trigonometric Expression	18sin(x)^4	$18 \sin^{4} (x)$
2336	Expand the Trigonometric Expression	2.30cos(0.1-1.35)sin(0.2t)	$2.3 \cos (0.1 - 1.35) \sin (0.2 t)$
2337	Find the Exact Value	tan(arcsin(-1/2))	$\tan (\arcsin (- \frac{1}{2}))$
2338	Find the Exact Value	tan(arcsin(3/8))	$\tan (\arcsin (\frac{3}{8}))$
2339	Find the Exact Value	tan(3arccos(3/4))	$\tan (3 \arccos (\frac{3}{4}))$
2340	Expand the Trigonometric Expression	(x+y)^2	${(x + y)}^{2}$
2341	Expand the Trigonometric Expression	(3/2x-1/2y)^5	${(\frac{3}{2} x - \frac{1}{2} y)}^{5}$
2342	Expand the Trigonometric Expression	(2x-3)^3	${(2 x - 3)}^{3}$
2343	Find the Exact Value	sin(215-95)	$\sin (215 - 95)$
2344	Find the Exact Value	sin(-285)	$\sin (- 285)$
2345	Find the Exact Value	sin(-270)	$\sin (- 270)$
2346	Find the Exact Value	sin(345)	$\sin (345)$
2347	Find the Exact Value	sin(-420)	$\sin (- 420)$
2348	Find the Exact Value	sin(60+45)	$\sin (60 + 45)$
2349	Find the Exact Value	sin(52 degrees 47')	$\sin (52 ° 47')$
2350	Find the Exact Value	sin(-840)	$\sin (- 840)$
2351	Find the Exact Value	sin(70)	$\sin (70)$
2352	Find the Exact Value	sin(16pi)	$\sin (16 π)$
2353	Find the Exact Value	sin(-13)	$\sin (- 13)$
2354	Find the Exact Value	sin(1.1)	$\sin (1.1)$
2355	Find the Exact Value	sin(arccos(21/29))	$\sin (\arccos (\frac{21}{29}))$
2356	Find the Exact Value	sin(pi/6-pi/3)	$\sin (\frac{π}{6} - \frac{π}{3})$
2357	Find the Exact Value	sin(pi/18)	$\sin (\frac{π}{18})$
2358	Find the Exact Value	sin(arcsin(5/3))	$\sin (\arcsin (\frac{5}{3}))$
2359	Find the Exact Value	sin(arcsin(-5))	$\sin (\arcsin (- 5))$
2360	Find the Exact Value	tan(4/5+5/13)	$\tan (\frac{4}{5} + \frac{5}{13})$
2361	Find the Exact Value	tan(7/12)	$\tan (\frac{7}{12})$
2362	Find the Exact Value	sin(arctan(1/3))	$\sin (\arctan (\frac{1}{3}))$
2363	Find the Exact Value	sin(arcsin(-0.2))	$\sin (\arcsin (- 0.2))$
2364	Find the Exact Value	sin(arccsc(-2))	$\sin (arccsc (- 2))$
2365	Find the Exact Value	tan(-120)	$\tan (- 120)$
2366	Find the Exact Value	tan(10pi)	$\tan (10 π)$
2367	Find the Exact Value	tan(-(8pi)/3)	$\tan (- \frac{8 π}{3})$
2368	Find the Exact Value	tan(arcsin(9/10))	$\tan (\arcsin (\frac{9}{10}))$
2369	Find the Exact Value	tan(arctan(0.5))	$\tan (\arctan (0.5))$
2370	Multiply	(4-9i)(-7+5i)	$(4 - 9 i) (- 7 + 5 i)$
2371	Multiply	( square root of y+ square root of 2)( square root of y- square root of 2)	$(\sqrt{y} + \sqrt{2}) (\sqrt{y} - \sqrt{2})$
2372	Multiply	( square root of h^2+1+1)( square root of h^2+1-1)	$(\sqrt{h^{2} + 1} + 1) (\sqrt{h^{2} + 1} - 1)$
2373	Multiply	( square root of 3-1)(1- square root of 3)	$(\sqrt{3} - 1) (1 - \sqrt{3})$
2374	Solve for x	x+12/x<7	$x + \frac{12}{x} < 7$
2375	Solve for x	2x-9y>0	$2 x - 9 y > 0$
2376	Solve for x	\|2-5x\|-8>17	$\| 2 - 5 x \| - 8 > 17$
2377	Solve for x	\|3x-7\|=5	$\| 3 x - 7 \| = 5$
2378	Solve for x	\|3-x\|=5	$\| 3 - x \| = 5$
2379	Solve for x	\|1-x\|=2	$\| 1 - x \| = 2$
2380	Solve for x	square root of (2x+5)^2<11	$\sqrt{{(2 x + 5)}^{2}} < 11$
2381	Solve for x	x-6/x=-1	$x - \frac{6}{x} = - 1$
2382	Solve for y	7/(y+1)>7	$\frac{7}{y + 1} > 7$
2383	Solve for y	4y+8=0	$4 y + 8 = 0$
2384	Simplify	( square root of 14+ square root of 10i)( square root of 14- square root of 10i)	$(\sqrt{14} + \sqrt{10 i}) (\sqrt{14} - \sqrt{10 i})$
2385	Multiply	(x-(3-4i))(x-(3+4i))	$(x - (3 - 4 i)) (x - (3 + 4 i))$
2386	Multiply	(x-(3-6i))(x-(3+6i))	$(x - (3 - 6 i)) (x - (3 + 6 i))$
2387	Simplify	((5b)(3x-9)^(3/4)(5x+10)-(3x-9)^(-1/4)(20b))/(10b(3x-9)^(3/2))	$\frac{(5 b) {(3 x - 9)}^{\frac{3}{4}} (5 x + 10) - {(3 x - 9)}^{- \frac{1}{4}} (20 b)}{10 b {(3 x - 9)}^{\frac{3}{2}}}$
2388	Simplify	((b^n)^3)/(b^n*b^n)	$\frac{{(b^{n})}^{3}}{b^{n} \cdot b^{n}}$
2389	Simplify	cube root of 27a^7b^3c^2	$\sqrt[3]{27 a^{7} b^{3} c^{2}}$
2390	Simplify	(6-a)/(6+a)	$\frac{6 - a}{6 + a}$
2391	Simplify	(9x^2-16y^2)/(6x^2-8xy)	$\frac{9 x^{2} - 16 y^{2}}{6 x^{2} - 8 x y}$
2392	Simplify	(a^-1)/((b^-1) square root of a)	$\frac{a^{- 1}}{(b^{- 1}) \sqrt{a}}$
2393	Simplify	(-1+ square root of 3i)^3	${(- 1 + \sqrt{3} i)}^{3}$
2394	Simplify	(1+2 square root of 3i)/(1+ square root of 3i)	$\frac{1 + 2 \sqrt{3 i}}{1 + \sqrt{3 i}}$
2395	Simplify	( square root of x+ square root of 3)^6	${(\sqrt{x} + \sqrt{3})}^{6}$
2396	Simplify	( square root of 6x-11+7)^2	${(\sqrt{6 x - 11} + 7)}^{2}$
2397	Simplify	2/(1/x+3)	$\frac{2}{\frac{1}{x} + 3}$
2398	Simplify	2/( square root of 2x)	$\frac{2}{\sqrt{2 x}}$
2399	Simplify	(2x-3)/((x-1)^2)	$\frac{2 x - 3}{{(x - 1)}^{2}}$
2400	Simplify	(3(x+2)(x-1))/(6(x-1)^2)	$\frac{3 (x + 2) (x - 1)}{6 {(x - 1)}^{2}}$