Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
26601	Solve for x	tan(x-(5pi)/4)=(-sin(x)+cos(x))/(-cos(x)-sin(x))	$\tan (x - \frac{5 π}{4}) = \frac{- \sin (x) + \cos (x)}{- \cos (x) - \sin (x)}$
26602	Solve for x	tan(2x+pi/6)=7.57	$\tan (2 x + \frac{π}{6}) = 7.57$
26603	Solve for x	tan(2arctan(x))=(2x)/(1-x^2)	$\tan (2 \arctan (x)) = \frac{2 x}{1 - x^{2}}$
26604	Solve for x	tan(46)=x/5	$\tan (46) = \frac{x}{5}$
26605	Solve for x	tan(5x)- square root of 3=0	$\tan (5 x) - \sqrt{3} = 0$
26606	Solve for x	tan(90-x)=cot(x)	$\tan (90 - x) = \cot (x)$
26607	Solve for @VAR	tan(b)=tan(90-a)	$\tan (b) = \tan (90 - a)$
26608	Solve for @VAR	tan(t)=( square root of 3)/3	$\tan (t) = \frac{\sqrt{3}}{3}$
26609	Solve for x	(sin(x)-1)(cos(x)+1)=0	$(\sin (x) - 1) (\cos (x) + 1) = 0$
26610	Solve for x	(tan(x)-1)(sec(x)+1)=0	$(\tan (x) - 1) (\sec (x) + 1) = 0$
26611	Solve for x	(tan(x- square root of 3))(2sin(x-1))=0	$(\tan (x - \sqrt{3})) (2 \sin (x - 1)) = 0$
26612	Solve for x	(x-1)(x+2)(3-x)=0	$(x - 1) (x + 2) (3 - x) = 0$
26613	Solve for x	0.05x-0.01(5x)=0	$0.05 x - 0.01 (5 x) = 0$
26614	Solve for x	x=(11pi)/3	$x = \frac{11 π}{3}$
26615	Find the Exact Value	csc(-120)	$\csc (- 120)$
26616	Solve for @VAR	a+bi=13+4i	$a + b i = 13 + 4 i$
26617	Solve for @VAR	a=981sin(32 degrees 51')	$a = 981 \sin (32 ° 51')$
26618	Solve for x	(2x^2)=(3x^2-64)	$(2 x^{2}) = (3 x^{2} - 64)$
26619	Solve for x	(2+i)x-i=5+i	$(2 + i) x - i = 5 + i$
26620	Solve for x	(2x-30)=45	$(2 x - 30) = 45$
26621	Solve for x	(3+2i)*(x+iy)=i(x-iy)+4	$(3 + 2 i) \cdot (x + i y) = i (x - i y) + 4$
26622	Solve for x	(4x^2-8x+6)=(2x-1)*(q(x))+(3/(2x-1))	$(4 x^{2} - 8 x + 6) = (2 x - 1) \cdot (q (x)) + (\frac{3}{2 x - 1})$
26623	Solve for x	(4x-3)=9	$(4 x - 3) = 9$
26624	Solve for x	(6x-7)(4x+3)=0	$(6 x - 7) (4 x + 3) = 0$
26625	Solve for x	(a+b)(a-b)=a^2-b^2	$(a + b) (a - b) = a^{2} - b^{2}$
26626	Solve for x	(cos(x)-1)(sin(x)+1)=0	$(\cos (x) - 1) (\sin (x) + 1) = 0$
26627	Solve for x	x=12/21	$x = \frac{12}{21}$
26628	Solve for x	x=3/4	$x = \frac{3}{4}$
26629	Evaluate	sec(-(2pi)/3)	$\sec (- \frac{2 π}{3})$
26630	Solve for x	x=(-799pi)/67	$x = \frac{- 799 π}{67}$
26631	Solve for y	cos(y)=8/13	$\cos (y) = \frac{8}{13}$
26632	Solve for x	x=arcsin(27/190)	$x = \arcsin (\frac{27}{190})$
26633	Solve for x	x=arctan(200/90)	$x = \arctan (\frac{200}{90})$
26634	Solve for x	x=arctan(22/11)	$x = \arctan (\frac{22}{11})$
26635	Solve for x	x=pi/4*pi	$x = \frac{π}{4} \cdot π$
26636	Solve for x	x=pi/3	$x = \frac{π}{3}$
26637	Solve for x	sin(x)=cos(2x+54)	$\sin (x) = \cos (2 x + 54)$
26638	Solve for x	sin(x)cos(x)tan(x)=sin(0)^2	$\sin (x) \cos (x) \tan (x) = \sin^{2} (0)$
26639	Solve for x	sin(x/3+(3pi)/2)=5	$\sin (\frac{x}{3} + \frac{3 π}{2}) = 5$
26640	Solve for @VAR	sin((3n)/2)=1	$\sin (\frac{3 n}{2}) = 1$
26641	Solve for x	sin((7pi)/6+x)-cos((2pi)/3+x)=0	$\sin (\frac{7 π}{6} + x) - \cos (\frac{2 π}{3} + x) = 0$
26642	Solve for @VAR	sin(a/2)=- square root of (1-cos(a))/2	$\sin (\frac{a}{2}) = - \sqrt{\frac{1 - \cos (a)}{2}}$
26643	Solve for x	sin(pi/2+x)=cos(x)	$\sin (\frac{π}{2} + x) = \cos (x)$
26644	Solve for x	sin(pi/3+x)-cos(pi/6+x)=sin(x)	$\sin (\frac{π}{3} + x) - \cos (\frac{π}{6} + x) = \sin (x)$
26645	Find the Cosecant Given the Point	(1/2,-( square root of 3)/2)	$\sin (\frac{π}{4} - B) = \frac{\sqrt{2}}{2} \cdot (\cos (B) + \sin (B))$
26646	Solve for @VAR	sin(pi/4-B)=( square root of 2)/2*(cos(B)-sin(B))	$\sin (\frac{π}{4} - B) = \frac{\sqrt{2}}{2} \cdot (\cos (B) - \sin (B))$
26647	Solve for x	sin(180-x)=cos(x)	$\sin (180 - x) = \cos (x)$
26648	Solve for x	sin(2x)=24/25	$\sin (2 x) = \frac{24}{25}$
26649	Solve for x	sin(2x)=(5pi)/4	$\sin (2 x) = \frac{5 π}{4}$
26650	Solve for ?	2cos(theta)^2=cos(theta)	$2 \cos^{2} (θ) = \cos (θ)$
26651	Solve for @VAR	sin(2t)+ square root of 2sin(t)=0	$\sin (2 t) + \sqrt{2} \sin (t) = 0$
26652	Solve for x	sin(2x)=2 square root of 3cos(x)^2	$\sin (2 x) = 2 \sqrt{3} \cos^{2} (x)$
26653	Solve for θ in Radians	cot(theta)+1=0	$\sin (2 x) \cos (x) + \cos (2 x) \sin (x) = - \frac{\sqrt{2}}{2}$
26654	Solve for x	sin(6x+18)=cos(2x-8)	$\sin (6 x + 18) = \cos (2 x - 8)$
26655	Solve for x	sin(6x)tan(3x)=2sin(3x)^2	$\sin (6 x) \tan (3 x) = 2 \sin^{2} (3 x)$
26656	Solve for @VAR	sin(A)=0.3	$\sin (A) = 0.3$
26657	Solve for @VAR	sin(a+2pi)=sin(a)	$\sin (a + 2 π) = \sin (a)$
26658	Solve for @VAR	sin(t)+ square root of 3cos(t)=1	$\sin (t) + \sqrt{3} \cos (t) = 1$
26659	Solve for @VAR	sin(t)=pi/4	$\sin (t) = \frac{π}{4}$
26660	Find the Exact Value	tan(-pi)	$\tan (- π)$
26661	Solve for x	sin(-x)=-sin(x)	$\sin (- x) = - \sin (x)$
26662	Find the Cotangent Given the Point	(-( square root of 2)/2,-( square root of 2)/2)	$\sin (x) \cos (\frac{π}{3}) + \cos (x) \sin (\frac{π}{3}) = \frac{1}{2}$
26663	Solve for x	sin(x)cos(y)=1/2*(sin(x+y)+cos(x-y))	$\sin (x) \cos (y) = \frac{1}{2} \cdot (\sin (x + y) + \cos (x - y))$
26664	Solve for x	sin(x)-sin(pi-x)-cos(pi/2-x)=-1	$\sin (x) - \sin (π - x) - \cos (\frac{π}{2} - x) = - 1$
26665	Solve for x	sin(x)tan(x)-sin(x)=0	$\sin (x) \tan (x) - \sin (x) = 0$
26666	Solve for x	sin(x-pi/2)=-cos(x)	$\sin (x - \frac{π}{2}) = - \cos (x)$
26667	Solve for x	sin(x-pi/4)=1+sin(x+pi/4)	$\sin (x - \frac{π}{4}) = 1 + \sin (x + \frac{π}{4})$
26668	Solve for x	sin(x+30)=cos(20)	$\sin (x + 30) = \cos (20)$
26669	Solve for x	sin(x+pi)-sin(x)+1=0	$\sin (x + π) - \sin (x) + 1 = 0$
26670	Solve for x	sin(x+y)+sin(x-yy)=2cos(x)sin(y)	$\sin (x + y) + \sin (x - y y) = 2 \cos (x) \sin (y)$
26671	Solve for x	sin(x+y)=sin(x)+sin(y)	$\sin (x + y) = \sin (x) + \sin (y)$
26672	Solve for x	sin(x-y)=sin(x)sin(y)-cos(x)cos(y)	$\sin (x - y) = \sin (x) \sin (y) - \cos (x) \cos (y)$
26673	Find the Reference Angle	-252 degrees	$- 252 °$
26674	Solve for x	tan(x)=(sin(x))/( square root of 1-sin(x)^2)	$\tan (x) = \frac{\sin (x)}{\sqrt{1 - \sin^{2} (x)}}$
26675	Solve for @VAR	f=9/5c+32	$f = \frac{9}{5} c + 32$
26676	Solve for x	h(x^2)=(-5x)/(x^2-4x+3)	$h (x^{2}) = \frac{- 5 x}{x^{2} - 4 x + 3}$
26677	Solve for @VAR	natural log of 5e^t=5t	$\ln (5 e^{t}) = 5 t$
26678	Solve for x	natural log of 7-2x = natural log of 3x+3	$\ln (7 - 2 x) = \ln (3 x + 3)$
26679	Solve for @VAR	natural log of M=2	$\ln (M) = 2$
26680	Solve for x	log of square root of xy=1/2*(xy)	$\log (\sqrt{x y}) = \frac{1}{2} \cdot (x y)$
26681	Solve for @VAR	log of 2t-4 = log of 14-3t	$\log (2 t - 4) = \log (14 - 3 t)$
26682	Solve for x	log of 4x = log of x^4	$\log (4 x) = \log (x^{4})$
26683	Solve for x	log of 6+ log of x-3=-0.5	$\log (6) + \log (x - 3) = - 0.5$
26684	Solve for @VAR	log of k=c log of v+ log of p	$\log (k) = c \log (v) + \log (p)$
26685	Solve for x	r=7cos(x)	$r = 7 \cos (x)$
26686	Solve for x	sec(x)+tan(x)=(cos(x))/(1-sin(x))	$\sec (x) + \tan (x) = \frac{\cos (x)}{1 - \sin (x)}$
26687	Solve for x	sec(x)=( square root of 5)/2	$\sec (x) = \frac{\sqrt{5}}{2}$
26688	Solve for x	sec(x)=17/5	$\sec (x) = \frac{17}{5}$
26689	Solve for x	sec(2x)=((sec(x)^2)/(2-sec(x)^2))	$\sec (2 x) = (\frac{\sec^{2} (x)}{2 - \sec^{2} (x)})$
26690	Solve for x	sec(4x+18)=csc(4x-8)	$\sec (4 x + 18) = \csc (4 x - 8)$
26691	Find the Cosecant Given the Point	(3,-4)	$\sec (t) \tan^{2} (t) = \frac{1 + \sin (t)}{1 - \sin (t)}$
26692	Solve for x	sec(x)=tan(x)+1	$\sec (x) = \tan (x) + 1$
26693	Solve for x	sec(x)-cos(x)=sin(xtan(x))	$\sec (x) - \cos (x) = \sin (x \tan (x))$
26694	Solve for x	sec(x)-tan(x)sin(x)=1/(sec(x))	$\sec (x) - \tan (x) \sin (x) = \frac{1}{\sec (x)}$
26695	Evaluate	cot((7pi)/2)	$\cot (\frac{7 π}{2})$
26696	Evaluate	csc((7pi)/2)	$\csc (\frac{7 π}{2})$
26697	Solve for x	sin(x)=( square root of 5)/5	$\sin (x) = \frac{\sqrt{5}}{5}$
26698	Solve for x	sin(x)=11/(5 square root of 5)	$\sin (x) = \frac{11}{5 \sqrt{5}}$
26699	Solve for x	sin(x)=15/17	$\sin (x) = \frac{15}{17}$
26700	Solve for x	sin(x) = square root of 1-cos(x)^2	$\sin (x) = \sqrt{1 - \cos^{2} (x)}$