Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
15601	Solve for x	3(5^x)=5	$3 (5^{x}) = 5$
15602	Solve for ?	tan(theta)^2=3/8	$\tan^{2} (θ) = \frac{3}{8}$
15603	Solve for x	2e^(3x-1)=5	$2 e^{3 x - 1} = 5$
15604	Find the Reference Angle	245 degrees	$245 °$
15605	Solve for x	-2*13^(3x-9)+8=-69	$- 2 \cdot 13^{3 x - 9} + 8 = - 69$
15606	Find the Coterminal Angle	-(7pi)/4	$2 \sin^{2} (x) (x) - \sin (x) = 0$
15607	Solve for x	20=31sin((2pi)/365x-1.4)	$20 = 31 \sin (\frac{2 π}{365} x - 1.4)$
15608	Solve for x	x^2+4x=9/4	$x^{2} + 4 x = \frac{9}{4}$
15609	Solve for x	square root of x+39=x+2	$\sqrt{x + 39} = x + 2$
15610	Convert from Radians to Degrees	(2pi)/2	$\frac{2 π}{2}$
15611	Simplify	sin(theta)^2	$\sin^{2} (θ)$
15612	Solve for x	x^2-14x+41=0	$x^{2} - 14 x + 41 = 0$
15613	Solve for x	x^2-14x+45=0	$x^{2} - 14 x + 45 = 0$
15614	Solve for x	x^2-15x+56=0	$x^{2} - 15 x + 56 = 0$
15615	Solve for x	2(cos(x)(cos(3x))-(sin(x)sin(3x)))=-1	$2 (\cos (x) (\cos (3 x)) - (\sin (x) \sin (3 x))) = - 1$
15616	Solve for x	1.6e^(-1.3x)=1	$1.6 e^{- 1.3 x} = 1$
15617	Solve for x	13=3sin((2pi)/365*(x-79))+12	$13 = 3 \sin (\frac{2 π}{365} \cdot (x - 79)) + 12$
15618	Solve for x	11.38=-0.5x^2+x+12	$11.38 = - 0.5 x^{2} + x + 12$
15619	Solve for x	cot(x/2-pi/3)=1	$\cot (\frac{x}{2} - \frac{π}{3}) = 1$
15620	Find the Exact Value	sin(-3pi)	$\sin (- 3 π)$
15621	Solve for x	f(1/x)=x-1	$f (\frac{1}{x}) = x - 1$
15622	Solve for x	sec(18x)=csc(6x)	$\sec (18 x) = \csc (6 x)$
15623	Solve for x	sec(5x)-2=0	$\sec (5 x) - 2 = 0$
15624	Solve for x	sec(5x-5)=csc(3x)	$\sec (5 x - 5) = \csc (3 x)$
15625	Solve for x	cos(4x)=-( square root of 3)/2	$\cos (4 x) = - \frac{\sqrt{3}}{2}$
15626	Solve for x	cos(x)+cos(3x)=0	$\cos (x) + \cos (3 x) = 0$
15627	Solve for x	cos(4x)-cos(2x)=0	$\cos (4 x) - \cos (2 x) = 0$
15628	Solve for x	cos(x)=5	$\cos (x) = 5$
15629	Solve for x	cos(x)=8/21	$\cos (x) = \frac{8}{21}$
15630	Solve for x	6cos(x)+6sin(x)=3 square root of 6	$6 \cos (x) + 6 \sin (x) = 3 \sqrt{6}$
15631	Solve for x	6sin(x)=1+9sin(x)	$6 \sin (x) = 1 + 9 \sin (x)$
15632	Solve for x	9tan(x-27)^2=0	$9 \tan^{2} (x - 27) = 0$
15633	Solve for ?	csc(theta) = square root of 2	$\csc (θ) = \sqrt{2}$
15634	Solve for x	7 = square root of 2x-5	$7 = \sqrt{2 x - 5}$
15635	Solve for x	cos(2x+3)=1/2	$\cos (2 x + 3) = \frac{1}{2}$
15636	Solve for x	cos(2x)+14sin(x)^2=10	$\cos (2 x) + 14 \sin^{2} (x) = 10$
15637	Solve for x	8x^2-5x-1=0	$8 x^{2} - 5 x - 1 = 0$
15638	Solve for x	cos(19)=x/14	$\cos (19) = \frac{x}{14}$
15639	Solve for x	6x^2-2x-3=0	$6 x^{2} - 2 x - 3 = 0$
15640	Solve for x	4x+12y=6	$4 x + 12 y = 6$
15641	Solve for x	5sin(2x)=x^2+1.6	$5 \sin (2 x) = x^{2} + 1.6$
15642	Solve for x	4x^2+8x-32=0	$4 x^{2} + 8 x - 32 = 0$
15643	Solve for x	4sin(2x)=x^2+1	$4 \sin (2 x) = x^{2} + 1$
15644	Solve for x	4sin(x)=cos(x)-2	$4 \sin (x) = \cos (x) - 2$
15645	Solve for x	4x-4y=-4	$4 x - 4 y = - 4$
15646	Solve for x	40e^(0.6x)-3=237	$40 e^{0.6 x} - 3 = 237$
15647	Solve for x	3- square root of 2x+5=0	$3 - \sqrt{2 x + 5} = 0$
15648	Solve for x	3x^(7/3)-33=0	$3 x^{\frac{7}{3}} - 33 = 0$
15649	Find the Quadrant of the Angle	(9pi)/4	$\frac{9 π}{4}$
15650	Solve for x	4cos(x)^3=4cos(x)	$4 \cos^{3} (x) = 4 \cos (x)$
15651	Simplify	(x-3)(x^2+6x+9)	$(x - 3) (x^{2} + 6 x + 9)$
15652	Simplify	(x+8)(2x+1)	$(x + 8) (2 x + 1)$
15653	Simplify	(x+a)(x+b)	$(x + a) (x + b)$
15654	Simplify	(x+1/x)(x-1/x)	$(x + \frac{1}{x}) (x - \frac{1}{x})$
15655	Simplify	(x(x^2pi))/42	$\frac{x (x^{2} \cdot π)}{4} \cdot 2$
15656	Simplify	(x/4+1/3)*(x/4-1/3)	$(\frac{x}{4} + \frac{1}{3}) \cdot (\frac{x}{4} - \frac{1}{3})$
15657	Simplify	(csc(x)-(sec(x)^2-tan(x)^2))(csc(x)+(sec(x)^2-tan(x)^2))	$(\csc (x) - (\sec^{2} (x) - \tan^{2} (x))) (\csc (x) + (\sec^{2} (x) - \tan^{2} (x)))$
15658	Simplify	(cos(x)+1)(cos(x)-1)	$(\cos (x) + 1) (\cos (x) - 1)$
15659	Simplify	cos(x)+sec(x)(2cos(x)^2+2sec(x)^2-2)	$\cos (x) + \sec (x) (2 \cos^{2} (x) + 2 \sec^{2} (x) - 2)$
15660	Simplify	(a-b)(a^-1b+ab^-1)^-1	$(a - b) {(a^{- 1} b + a b^{- 1})}^{- 1}$
15661	Simplify	((g*4)/7)(g^(3/7))	$(\frac{g \cdot 4}{7}) (g^{\frac{3}{7}})$
15662	Simplify	(mn)(-3)	$(m n) (- 3)$
15663	Simplify	(cot(x))(sec(x))	$(\cot (x)) (\sec (x))$
15664	Simplify	(csc(x)-sec(x))(cos(x)+sin(x))	$(\csc (x) - \sec (x)) (\cos (x) + \sin (x))$
15665	Simplify	(v-4)(v+4)	$(v - 4) (v + 4)$
15666	Simplify	(sin(x+1))(sin(x-1))	$(\sin (x + 1)) (\sin (x - 1))$
15667	Simplify	(sin(x))(tan(x)+cot(x))	$(\sin (x)) (\tan (x) + \cot (x))$
15668	Simplify	(sin(x)+1)(sin(x)-1)	$(\sin (x) + 1) (\sin (x) - 1)$
15669	Simplify	(sin(x))*(cos(x))	$(\sin (x)) \cdot (\cos (x))$
15670	Simplify	sin(-x)cot(x-pi)	$\sin (- x) \cot (x - π)$
15671	Simplify	(sec(x)-tan(x))(csc(x)+1)	$(\sec (x) - \tan (x)) (\csc (x) + 1)$
15672	Simplify	(sec(x)+cos(x))(sec(x)-cos(x))	$(\sec (x) + \cos (x)) (\sec (x) - \cos (x))$
15673	Simplify	(6a+5)(6a-5)	$(6 a + 5) (6 a - 5)$
15674	Simplify	(5ab)(-2a^2b)^3	$(5 a b) {(- 2 a^{2} b)}^{3}$
15675	Simplify	(5y-6x)(5y+6x)	$(5 y - 6 x) (5 y + 6 x)$
15676	Simplify	(5x+3)(x+5)	$(5 x + 3) (x + 5)$
15677	Simplify	(6i+4)(6i-4)	$(6 i + 4) (6 i - 4)$
15678	Simplify	(7z-6y)(7z+6y)	$(7 z - 6 y) (7 z + 6 y)$
15679	Simplify	(9+5i)(8+8i)	$(9 + 5 i) (8 + 8 i)$
15680	Simplify	(3x-2)(4x+1)	$(3 x - 2) (4 x + 1)$
15681	Simplify	(3x+2)(x-3)	$(3 x + 2) (x - 3)$
15682	Simplify	(4x^2-5x^3)-(8x^2-7x^3)	$(4 x^{2} - 5 x^{3}) - (8 x^{2} - 7 x^{3})$
15683	Simplify	(3-3sin(x))(3+3sin(x))	$(3 - 3 \sin (x)) (3 + 3 \sin (x))$
15684	Simplify	(3i)(2i)^2(m+i)	$(3 i) {(2 i)}^{2} (m + i)$
15685	Simplify	(5-2i)(6+8i)	$(5 - 2 i) (6 + 8 i)$
15686	Simplify	(4-i)(2+3i)	$(4 - i) (2 + 3 i)$
15687	Simplify	(5sec(x)^2)(1-sin(x)^2)	$(5 \sec^{2} (x)) (1 - \sin^{2} (x))$
15688	Simplify	(4tan(w)+1)(2cot(w))^2	$(4 \tan (w) + 1) {(2 \cot (w))}^{2}$
15689	Simplify	(5x^-6)(2x^4)	$(5 x^{- 6}) (2 x^{4})$
15690	Simplify	(4+5i)-(12+9i)	$(4 + 5 i) - (12 + 9 i)$
15691	Simplify	(49x^2+12)-(80x^2+7)	$(49 x^{2} + 12) - (80 x^{2} + 7)$
15692	Simplify	(4c-1)(3c+5)	$(4 c - 1) (3 c + 5)$
15693	Simplify	(4n+1)(2n+6)	$(4 n + 1) (2 n + 6)$
15694	Simplify	(4x+29)(8x+9)	$(4 x + 29) (8 x + 9)$
15695	Simplify	(4z+3)(4z-3)	$(4 z + 3) (4 z - 3)$
15696	Simplify	(x^2-9x-3)-(6x^2*(4x)-2)	$(x^{2} - 9 x - 3) - (6 x^{2} \cdot (4 x) - 2)$
15697	Simplify	(0.7x^2+0.4x-0.9)(0.9x^2+1.7)	$(0.7 x^{2} + 0.4 x - 0.9) (0.9 x^{2} + 1.7)$
15698	Simplify	(1-cos(x)^2)cot(x)^2	$(1 - \cos^{2} (x)) \cot^{2} (x)$
15699	Simplify	(sec(x)^2+csc(x)^2)-(tan(x)^2+cot(x)^2)	$(\sec^{2} (x) + \csc^{2} (x)) - (\tan^{2} (x) + \cot^{2} (x))$
15700	Simplify	(x^2+sec(y^2)^2)/(sec(y)^2)	$\frac{x^{2} + \sec^{2} (y^{2})}{\sec^{2} (y)}$