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Popular Trigonometry Problems

sin(x)sec(x)=2tan(x)-1	sin(`x`)sec(`x`)=2tan(`x`)−1
sin(x)=sin(x+30)	sin(`x`)=sin(`x`+30^◦)
cos^2(x)+7/12 cos(x)+1/12 =0	cos²(`x`)+712 cos(`x`)+112 =0
sec^{22}(x)=1-tan^2(x)	sec²²(`x`)=1−tan²(`x`)
2sec(x)=1+cos(x)	2sec(`x`)=1+cos(`x`)
sin^2(x)+cos(x)-cos^2(x)=0	sin²(`x`)+cos(`x`)−cos²(`x`)=0
8(1-sin^2(x))+2sin(x)-7=0	8(1−sin²(`x`))+2sin(`x`)−7=0
cot(5x)=1	cot(5`x`)=1
tan^2(x)-6tan(x)+1=0	tan²(`x`)−6tan(`x`)+1=0
tan^2(x)-2tan(x)=1	tan²(`x`)−2tan(`x`)=1
sin(a)=0.25	sin(`a`)=0.25
3tan^2(x+15)-1=0	3tan²(`x`+15^◦)−1=0
3sin^4(x)+cos^4(x)=1	3sin⁴(`x`)+cos⁴(`x`)=1
sec(3x)=5	sec(3`x`)=5
3sin^2(x)+2sin(x)cos^2(x/2)-sin(x)=0	3sin²(`x`)+2sin(`x`)cos²(`x`2 )−sin(`x`)=0
3tan^2(y)=5sec(y)-1	3tan²(`y`)=5sec(`y`)−1
((1-tan^2(a)))/((tan(a)))=2cot^2(a)	(1−tan²(`a`))(tan(`a`)) =2cot²(`a`)
cos(6x)=cos(2x)	cos(6`x`)=cos(2`x`)
cot(x)cos(x)-sin(x)=1	cot(`x`)cos(`x`)−sin(`x`)=1
cos^4(x)+cos^3(x)-2=0	cos⁴(`x`)+cos³(`x`)−2=0
tan^2(x)= 1/(cos(x)+1)	tan²(`x`)=1cos(`x`)+1
(sin^2(x)-2cos(x)+1)/4 =0	sin²(`x`)−2cos(`x`)+14 =0
cos^2(x)+cos^4(x)+cos^6(x)=0	cos²(`x`)+cos⁴(`x`)+cos⁶(`x`)=0
sin(x)=(-1)/4	sin(`x`)=−14
sin^4(x)-sin^2(x)=0	sin⁴(`x`)−sin²(`x`)=0
(cos(t)-4)(2sin^2(t)-1)=0	(cos(`t`)−4)(2sin²(`t`)−1)=0
sin(75)= x/9	sin(75^◦)=`x`9
solvefor i,2cos^3(x)+sin(x)+1=2sin^2(x)	`solvefor` `i`,2cos³(`x`)+sin(`x`)+1=2sin²(`x`)
solvefor t,tan(x)=csc^2(x)-2	`solvefor` `t`,tan(`x`)=csc²(`x`)−2
solvefor y,xy+2y=sin(x)	`solvefor` `y`,`xy`+2`y`=sin(`x`)
cos(15)= a/(55)	cos(15^◦)=`a`55
tan^0(2x+15)=-1	tan⁰(2`x`+15)=−1
x=(20)/(sin(45))	`x`=20sin(45^◦)
prove sin^4(u)-cos^4(u)=2sin^2(u)-1	`prove` sin⁴(`u`)−cos⁴(`u`)=2sin²(`u`)−1
prove tan^4(x)-sec^4(x)=-2sec^2(x)+1	`prove` tan⁴(`x`)−sec⁴(`x`)=−2sec²(`x`)+1
prove (tan(x)+cot(x))tan(x)=sec^2(x)	`prove` (tan(`x`)+cot(`x`))tan(`x`)=sec²(`x`)
prove (cos(x)+sin(x))^2-2sin(x)cos(x)=1	`prove` (cos(`x`)+sin(`x`))²−2sin(`x`)cos(`x`)=1
prove 1-cos^2(x)=(tan^2(x))/(sec^2(x))	`prove` 1−cos²(`x`)=tan²(`x`)sec²(`x`)
prove ((cos^2(x)))/((1-sin(x)))=1+sin(x)	`prove` (cos²(`x`))(1−sin(`x`)) =1+sin(`x`)
prove 8csc^2(x)-3cot^2(x)=3+5csc^2(x)	`prove` 8csc²(`x`)−3cot²(`x`)=3+5csc²(`x`)
prove sin^2(t)=(sin(t))^2	`prove` sin²(`t`)=(sin(`t`))²
Solve over the Interval sin(2x)-2cos(x)=0 , (0,2pi)	sin(2`x`)−2cos(`x`)=0,(0,2π)
Find the Exact Value sin((5pi)/3)	sin((5π)3 )
Find the Exact Value sin((5pi)/2)	sin((5π)2 )
Evaluate sin((3pi)/2)	sin((3π)2 )
Solve for x k=(1+sin(x))/n	`solvefor` `x`,`k`=(1+sin(`x`))`n`
Solve for a in Degrees tan(a)=1/3	`solvefor` `a`,tan(`a`)=13
Find the Exact Value cos((4pi)/3)	cos((4π)3 )
Find the Exact Value cos((3pi)/4)	cos((3π)4 )
Find the Exact Value sec((5pi)/6)	sec((5π)6 )
Find the Degree tan(theta)=-4/5	tan(θ)=−45
Find the Exact Value sec((5pi)/3)	sec((5π)3 )
Find Where Undefined/Discontinuous sin(x)=18.5/20	sin(`x`)=18.520
Find the Exact Value sec((2pi)/3)	sec((2π)3 )
Find the Exact Value sin(135/2)	sin(1352 )
Find the Exact Value cos((5pi)/6)	cos((5π)6 )
Find the Trig Value cos(theta)=4/5 , 270 degrees <theta<360 degrees	cos(θ)=45 ,270^◦<θ<360^◦
Evaluate tan((5pi)/6)	tan((5π)6 )
Find the Exact Value sin(200/90)	sin(20090 )
Solve for x tan(x)=2	`solvefor` `x`,tan(`x`)=2
Solve for x cos(2x)=-cos(x)	`solvefor` `x`,cos(2`x`)=−cos(`x`)
Find the Exact Value sin((2pi)/3)	sin((2π)3 )
Find Trig Functions Using Identities sin(x)=4/5 , cos(x)=3/5	sin(`x`)=45 ,cos(`x`)=35
Find the Exact Value 50/(tan(53))	50(tan(53^◦))
Find the Exact Value cos((3pi)/2)	cos((3π)2 )
Find the Exact Value sin((3pi)/4)	sin((3π)4 )
Solve for x cos(x)=( square root of 3)/2	`solvefor` `x`,cos(`x`)=(√3)2
Verify the Identity sec(x)=1/(cos(x))	`prove` sec(`x`)=1(cos(`x`))
Find the Exact Value tan(0 degrees )	tan(0^◦)
Find Trig Functions Using Identities sin(theta)=15/17 , cos(theta)=8/17	sin(θ)=1517 ,cos(θ)=817

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