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常见问题

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常见三角函数问题

4cosh(2x)=4+sinh(2x)	4cosh(2`x`)=4+sinh(2`x`)
\|sin(x)\|=sin(x)+2	\|sin(`x`)\|=sin(`x`)+2
sin(a)=0.2315	sin(`a`)=0.2315
(1(cos^2(x)))/((1-sin^2(x)))=0	1(cos²(`x`))(1−sin²(`x`)) =0
sin(x)sin^3(x)-sin^5(x)sin^3(x)=0	sin(`x`)sin³(`x`)−sin⁵(`x`)sin³(`x`)=0
5sin^2(x)=2sin(x)	5sin²(`x`)=2sin(`x`)
3cos^2(x)+5sin(x)-4=0	3cos²(`x`)+5sin(`x`)−4=0
solvefor x,d^2+3d+2y=4cos^2(x)	`solvefor` `x`,`d`²+3`d`+2`y`=4cos²(`x`)
(1+tan^2(x))cos^2(x)=sec(x)	(1+tan²(`x`))cos²(`x`)=sec(`x`)
(cos^2(x)-1)/(sin^2(x))=-tan(x)	cos²(`x`)−1sin²(`x`) =−tan(`x`)
cos^6(x)=-cos^2(x)	cos⁶(`x`)=−cos²(`x`)
2sin^3(x)-5sin^2(x)+2sin(x)=0	2sin³(`x`)−5sin²(`x`)+2sin(`x`)=0
(cos^2(a)-3cos(a)+2)/(sin^2(a))=1	cos²(`a`)−3cos(`a`)+2sin²(`a`) =1
(sin(x)-(sqrt(2)))/2 =0	sin(`x`)−(√2)2 =0
cos(2x)=5-6cos^2(x)	cos(2`x`)=5−6cos²(`x`)
cos^4(x)=0.37	cos⁴(`x`)=0.37
sin^2(x)=((sqrt(3)))/2	sin²(`x`)=(√3)2
sin(x)cos(x)=2sin(2x)	sin(`x`)cos(`x`)=2sin(2`x`)
solvefor n,sin(x)+sin(13 n/2-x)=1	`solvefor` `n`,sin(`x`)+sin(13`n`2 −`x`)=1
5cos^2(a)-2sin(a)-2=0	5cos²(`a`)−2sin(`a`)−2=0
tan^2(a)=((2tan(a)))/((1-tan^2(a)))	tan²(`a`)=(2tan(`a`))(1−tan²(`a`))
12cos^2(x)-6=sin(x)	12cos²(`x`)−6=sin(`x`)
cos^2(a)= 2/3	cos²(`a`)=23
sin(2x)=-0.848055484	sin(2`x`)=−0.848055484
2+cos^2(x)=3cos(x)	2+cos²(`x`)=3cos(`x`)
cos(x+40)=0.85	cos(`x`+40^◦)=0.85
sin^2(a)=1-cos(2a)	sin²(`a`)=1−cos(2`a`)
cos^4(x)=cos^2(x)	cos⁴(`x`)=cos²(`x`)
tan(x)=2+tan^3(x)	tan(`x`)=2+tan³(`x`)
2*sin(a)=sin(3a)	2· sin(`a`)=sin(3`a`)
(cos(x)+5sin(x))/(2-3)=0	cos(`x`)+5sin(`x`)2−3 =0
sin(y)= 2/3	sin(`y`)=23
sin(a)=0.6625	sin(`a`)=0.6625
6-4cos^2(x)-9sin(x)=0	6−4cos²(`x`)−9sin(`x`)=0
cos^2(x)+cos^2(3x)=1	cos²(`x`)+cos²(3`x`)=1
tan(x)= 16/3	tan(`x`)=163
1/((sec(a)-tan(a)))=sec(a)+tan(x)	1(sec(`a`)−tan(`a`)) =sec(`a`)+tan(`x`)
-2=tan^2(x)	−2=tan²(`x`)
3sin^2(x)-1=cos^4(x)	3sin²(`x`)−1=cos⁴(`x`)
sin(3*x)=cos(x)	sin(3· `x`)=cos(`x`)
sin^{22}(x)=sin^2(x)	sin²²(`x`)=sin²(`x`)
sin^2(2x)+cos^2(x)-1=0	sin²(2`x`)+cos²(`x`)−1=0
cos(8t)-5sin(8t)=0	cos(8`t`)−5sin(8`t`)=0
cos^2(x)+3sin(x)+1=0	cos²(`x`)+3sin(`x`)+1=0
(a^{0.2})/((cos^2(x))-cos^2(x)-1)=0	`a`^0.2(cos²(`x`))−cos²(`x`)−1 =0
((2cos(x))/(2-1))((sin(x))/(2+2))=0	(2cos(`x`)2−1 )(sin(`x`)2+2 )=0
4cos^2(x)+17sin(x)=8	4cos²(`x`)+17sin(`x`)=8
cos^4(x)=1-8sin^2(x)cos^2(x)	cos⁴(`x`)=1−8sin²(`x`)cos²(`x`)
tan(x)= 10/18	tan(`x`)=1018
((1+cot^2(x)))/(cos^2(x))=cot^2(x)	(1+cot²(`x`))cos²(`x`) =cot²(`x`)
sin(2p+1)=-1	sin(2`p`+1)=−1
solvefor y,a*z=5sin(2y)	`solvefor` `y`,`a`· `z`=5sin(2`y`)
sin^3(x)=sin^2(x)	sin³(`x`)=sin²(`x`)
2sec^2(a)+tan^2(a)=3	2sec²(`a`)+tan²(`a`)=3
3cos^2(x)+4cos(x)+1=0	3cos²(`x`)+4cos(`x`)+1=0
cos^5(x)= 1/2	cos⁵(`x`)=12
(cos^{2022}(x))/((sin^{2022)(x)+cos^{2022}(x))}=1	cos²⁰²²(`x`)(sin²⁰²²(`x`)+cos²⁰²²(`x`)) =1
5sec(x)-4cos(x)=8	5sec(`x`)−4cos(`x`)=8
sin^3(x)=-1	sin³(`x`)=−1
solvefor x,sin^2(x)=((1-cos(y)))/2	`solvefor` `x`,sin²(`x`)=(1−cos(`y`))2
sin(x)+sin^2(x)+cos(x)+cos^2(x)=0	sin(`x`)+sin²(`x`)+cos(`x`)+cos²(`x`)=0
4cos^2(x)-4sin(x)-1=0	4cos²(`x`)−4sin(`x`)−1=0
cos^2(x)+1=-2cos(x)	cos²(`x`)+1=−2cos(`x`)
sin^3(x)-2sin(x)=0	sin³(`x`)−2sin(`x`)=0
2cos^3(x)=cot^3(x)	2cos³(`x`)=cot³(`x`)
1/((sec^2(a)))+1/((cos^2(a)))=1	1(sec²(`a`)) +1(cos²(`a`)) =1
(1-cos(a))(1+cos(a))=tan(a)sin(a)	(1−cos(`a`))(1+cos(`a`))=tan(`a`)sin(`a`)
tan^2(x)+1/6+(tan(1))/3 =0	tan²(`x`)+16 +tan(1)3 =0
-2cos^2(x)-5sin(x)+5=0	−2cos²(`x`)−5sin(`x`)+5=0
3-4sin^3(x)=sin^3(x)	3−4sin³(`x`)=sin³(`x`)
cos^4(x)= 3/8+1/2 cos^2(x)+1/8 cos^4(x)	cos⁴(`x`)=38 +12 cos²(`x`)+18 cos⁴(`x`)
sin(2x)=5cos(x)	sin(2`x`)=5cos(`x`)
sin(a)=0.4848	sin(`a`)=0.4848
sin^2(x)=2cos^4(x)	sin²(`x`)=2cos⁴(`x`)
sin^3(x)+cos^3(x)=(1-1)/(2sin^2(x))	sin³(`x`)+cos³(`x`)=1−12sin²(`x`)
solvefor i,xsin^2(x)=cos^2(x)	`solvefor` `i`,`x`sin²(`x`)=cos²(`x`)
solvefor c,sin^2(x)+12=12(sin(x)-cos(x))	`solvefor` `c`,sin²(`x`)+12=12(sin(`x`)−cos(`x`))
solvefor c,sin(x)-5cos(x)=sin^2(x)+5cos^2(x)	`solvefor` `c`,sin(`x`)−5cos(`x`)=sin²(`x`)+5cos²(`x`)
solvefor i,sin(x)+sin^2(x)+cos^3(x)=0	`solvefor` `i`,sin(`x`)+sin²(`x`)+cos³(`x`)=0
y=2sin(cos(+0))	`y`=2sin(cos(+0))
solvefor x,y=x+2arctan(p)	`solvefor` `x`,`y`=`x`+2arctan(`p`)
solvefor x,z=sin(x)+cos^3(y)	`solvefor` `x`,`z`=sin(`x`)+cos³(`y`)
r=1-sin(0)	`r`=1−sin(0)
solvefor x,sin^2(y)+cos(x)y=k	`solvefor` `x`,sin²(`y`)+cos(`x`)`y`=`k`
solvefor c,cos(x)-cos^2(x)=sin^3(x)	`solvefor` `c`,cos(`x`)−cos²(`x`)=sin³(`x`)
sin(60)= x/(32)	sin(60^◦)=`x`32
solvefor i,sin^2(x)=sin(x^2)	`solvefor` `i`,sin²(`x`)=sin(`x`²)
solvefor c,sin^3(x)-cos^3(x)=sin(x)+cos(x)	`solvefor` `c`,sin³(`x`)−cos³(`x`)=sin(`x`)+cos(`x`)
solvefor c,cos^2(x)+cos(x)=sin(x)	`solvefor` `c`,cos²(`x`)+cos(`x`)=sin(`x`)
sin(30)=(x/(81))	sin(30^◦)=(`x`81 )
solvefor x,y=2xcos^2(y)	`solvefor` `x`,`y`=2· `x`· cos²(`y`)
solvefor c,sin^3(x)+cos^3(x)=4cos(x)-2sin(x)	`solvefor` `c`,sin³(`x`)+cos³(`x`)=4cos(`x`)−2sin(`x`)
solvefor c,3(sin(x)+cos(x))-sin^2(x)-1=0	`solvefor` `c`,3(sin(`x`)+cos(`x`))−sin²(`x`)−1=0
solvefor t,cot(x)cot^2(x)=-1	`solvefor` `t`,cot(`x`)cot²(`x`)=−1
solvefor i,1-2sin^2(45-a/2)=sin(a)	`solvefor` `i`,1−2sin²(45^◦−`a`2 )=sin(`a`)
solvefor c,sin^2(x)+sin(x)-cos(x)+1/2 =0	`solvefor` `c`,sin²(`x`)+sin(`x`)−cos(`x`)+12 =0
solvefor c,cos^4(s)-sin^4(x)+1+cos(x)=0	`solvefor` `c`,cos⁴(`s`)−sin⁴(`x`)+1+cos(`x`)=0
solvefor c,cot^2(x)=cos(x)+sin(x)	`solvefor` `c`,cot²(`x`)=cos(`x`)+sin(`x`)
solvefor y,y=sin(3t)u(t)*u(t)	`solvefor` `y`,`y`=sin(3`t`)`u`(`t`)· `u`(`t`)
solvefor t,cot(a*)(1-sec(2a))+tan^2(a)=1	`solvefor` `t`,cot(`a`· )(1−sec(2`a`))+tan²(`a`)=1

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