cot  
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cot - The length of the adjacent side divided by the length of the side opposite the angle. Also equals 1/tan(θ)

A 7-foot piece of cotton cloth costs $3.36. What is the price per inch?
A 7-foot piece of cotton cloth costs $3.36. What is the price per inch? Using [URL='https://www.mathcelebrity.com/linearcon.php?quant=7&pl=Calculate&type=foot']our length converter[/URL], we see that: 7 feet = 84 inches So $3.36 for 84 inches. We [URL='https://www.mathcelebrity.com/perc.php?num=3.36&den=84&pcheck=1&num1=16&pct1=80&pct2=70&den1=80&idpct1=10&hltype=1&idpct2=90&pct=82&decimal=+65.236&astart=12&aend=20&wp1=20&wp2=30&pl=Calculate']divide $3.36 by 84[/URL] to get the cost per inch: $3.36/84 = [B]0.04 per inch[/B]

A daily pass costs $62. A season ski pass costs $450. The skier would have to rent skis with eithe
A daily pass costs $62. A season ski pass costs $450. The skier would have to rent skis with either pass for $30 per day. How many days would the skier have to go skiing in order to make the season pass less expensive than the daily passes? Let d be the number of days the skier attends. Calculate the daily cost: Daily Total Cost = Daily Cost + Rental Cost Daily Total Cost = 62d + 30d Daily Total Cost = 92d Calculate Season Cost: Season Total Cost = Season Fee + Rental Cost Season Total Cost = 450 + 30d Set the daily total cost and season cost equal to each other: 450 + 30d = 92d [URL='https://www.mathcelebrity.com/1unk.php?num=450%2B30d%3D92d&pl=Solve']Typing this equation into the search engine[/URL], we get d = 7.258. We round up to the next full day of [B]8[/B]. Now check our work: Daily Total Cost for 8 days = 92(8) = 736 Season Cost for 8 days = 30(8) + 450 = 240 + 450 = 710. Therefore, the skier needs to go at least [B]8 days[/B] to make the season cost less than the daily cot.

Cofunction
Free Cofunction Calculator - Calculates the cofunction of the 6 trig functions: * sin
* cos
* tan
* csc
* sec
* cot


cot(θ)=12 and θ is in Quadrant I, what is sin(θ)?
cot(θ)=12 and θ is in Quadrant I, what is sin(θ)? cot(θ) = cos(θ)/sin(θ) 12 = cos(θ)/sin(θ) Cross multiply: 12sin(θ) = cos(θ) Divide each side by 12: sin(θ) = [B]12cos(θ)[/B]

cscx-cotx*cosx=sinx
cscx-cotx*cosx=sinx A few transformations we can make based on trig identities: [LIST] [*]csc(x) = 1/sin(x) [*]cot(x) = cos(x)/sin(x) [/LIST] So we have: 1/sin(x) - cos(x)/sin(x) * cos(x) = sin(x) (1 - cos^2(x))/sin(x) = sin(x) 1 - cos^2(x) = sin^2(x) This is [B]true[/B] from the identity: sin^2(x) - cos^2(x) = 1

cscx/secx =cotx
cscx/secx =cotx This is [B]true[/B] Remember that: csc(x) = 1/sin(x) sec(x) = 1/cos(x) So we have: 1/sin(x)/1/cos(x) cos(x)/sin(x) cot(x)

Hyperbolic Function
Free Hyperbolic Function Calculator - Calculates hyperbolic function values: sinh, cosh, tanh, csch, sech, coth

Hyperbolic Inverse
Free Hyperbolic Inverse Calculator - Calculates hyperbolic function values: arcsinh, arccosh, arctanh, arccsch, arcsech, arccoth

Scott and Dylan both leave the park at the same time, but in opposite directions. If Scott travels 1
Scott and Dylan both leave the park at the same time, but in opposite directions. If Scott travels 12 mph and Dylan travels 19 mph, how long until they are 186 miles apart? Hour 1, they are 19 + 12 = 31 miles apart. So each hour, they get 31 miles more apart. When they are [URL='https://www.mathcelebrity.com/fraction.php?frac1=186%2F31&frac2=3%2F8&pl=Simplify']186 miles apart[/URL], we divide this by 31 miles apart per hour: 186/31 = [B]6 hours[/B]

Simplify sin(x) * cos(x) * tan(x) * csc(x) * sec(x) * cot(x)
We know the following: [LIST] [*]csc(x) = 1/sin(x) [*]sec(x) = 1/cos(x) [*]cot(x) = 1/tan(x) [/LIST] We can rewrite our original expression as: sin(x) * cos(x) * tan(x)/sin(x) * cos(x) * tan(x) Everything cancels and we are left with [B]1[/B] [MEDIA=youtube]MsL-Ni4Hen4[/MEDIA]

sin(x)cot(x)
sin(x)cot(x) We know that cot(x) = cos(x)/sin(x), so we rewrite this as: sin(x)cos(x)/sin(x) The sin(x) terms cancel and we get: [B]cos(x)[/B]

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Trig Measurement
Free Trig Measurement Calculator - Given an angle θ, this calculates the following measurements:
Sin(θ) = Sine
Cos(θ) = Cosine
Tan(θ) = Tangent
Csc(θ) = Cosecant
Sec(θ) = Secant
Cot(θ) = Cotangent
Arcsin(x) = θ = Arcsine
Arccos(x) = θ = Arccosine
Arctan(x) =θ = Arctangent
Also converts between Degrees and Radians and Gradians
Coterminal Angles as well as determine if it is acute, obtuse, or right angle. For acute angles, a cofunction will be determined. Also shows the trigonometry function unit circle

Trigonometry Relations
Free Trigonometry Relations Calculator - Calculates various trigonometry measurements (sin,cos,tan,csc,sec,cot) given other measurements that you enter.

You went to the State Fair and spent $20. If cotton candy costs $2 and a soda pop costs $1. Which eq
You went to the State Fair and spent $20. If cotton candy costs $2 and a soda pop costs $1. Which equation represents the relation between the number of cotton candy (c) and soda pops (s) you can buy? Our total cost for 20 at the state fair is: Cost of Cotton Candy + Cost of Soda = 20 We know that price = cost * quantity, so we have: 2c + 1s = 20 Since 1s is written as s, we have: [B]2c + s = 20[/B]