Math and Arithmetic
Algebra
Trigonometry

# Express csc theta in terms of cot theta theta is in quadrant 3?

###### Wiki User

It is -sqrt(1 + cot^2 theta)

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## Related Questions

### If tan Theta equals 2 with Theta in Quadrant 3 find cot Theta?

Cotan(theta) is the reciprocal of the tan(theta). So, cot(theta) = 1/2.

### How do you simplify sin theta times csc theta divided by tan theta?

Since sin(theta) = 1/cosec(theta) the first two terms simply camcel out and you are left with 1 divided by tan(theta), which is cot(theta).

### How do you simplify csc theta cot theta cos theta?

cosec(q)*cot(q)*cos(q) = 1/sin(q)*cot(q)*cos(q) = cot2(q)

### Why does Sine Theta equal Sine 180 minus Theta?

When you subtract theta from 180 ( if theta is between 90 degrees and 180 degrees) you will get the reference angle of theta; the results of sine theta and sine of its reference angle will be the same and only the sign will be different depends on which quadrant the angle is located. Ex. 150 degrees' reference angle will be 30 degrees (180-150) sin150=1/2 (2nd quadrant); sin30=1/2 (1st quadrant) 1st quadrant: all trig functions are positive 2nd: sine and csc are positive 3rd: tangent and cot are positive 4th: cosine and secant are positive

### If tansqtheta plus 5tantheta0 find the value of tantheta plus cottheta?

tan2(theta) + 5*tan(theta) = 0 => tan(theta)*[tan(theta) + 5] = 0=> tan(theta) = 0 or tan(theta) = -5If tan(theta) = 0 then tan(theta) + cot(theta) is not defined.If tan(theta) = -5 then tan(theta) + cot(theta) = -5 - 1/5 = -5.2

### How do you simplify csc theta -cot theta cos theta?

For a start, try converting everything to sines and cosines.

### What is cot x sin x simplified?

To simplify such expressions, it helps to express all trigonometric functions in terms of sines and cosines. That is, convert tan, cot, sec or csc to their equivalent in terms of sin and cos.

### What is the cot of a 45 degree angle?

1 cot(theta)=cos(theta)/sin(theta) cos(45 degrees)=sqrt(2)/2 AND sin(45 degrees)=sqrt(2)/2 cot(45 deg)=cos(45 deg)/sin(deg)=(sqrt(2)/2)/(sqrt(2)/2)=1

### How do you prove cot squared theta plus cos squared theta plus sin squared theta scs squared theta?

Until an "equals" sign shows up somewhere in the expression, there's nothing to prove.

### What quadrant is cot -1 in?

in second and fourth... for angles 135 and 315 degrees

### What is tan theta divided by cot theta?

Since Cot&Theta; = 1 / tan&Theta;, then tan&Theta; / cot&Theta; = tan&Theta; / (1/tan&Theta;) = tan&Theta; x tan&Theta; = tan&sup2;&Theta;

### How do you simplify cot of theta times sin of theta?

By converting everything to sines and cosines. Since tan x = sin x / cos x, in the cotangent, which is the reciprocal of the tangent: cot x = cos x / sin x. You can replace any other variable (like thetha) for the angle.

### How do you figure this out Sin theta equals -0.0138 so theta equals what?

Depending on your calculator, you should have an arcsin function, which appears as sin^-1. It's usually a 2nd function of the sin key. If you don't have this function, there are many free calculators you can download... just google scientific calculator downloads.Anyway, this inverse function will give you theta when you plug in the value of sin theta. Here's the algebra written out:sin(theta)=-0.0138arcsin(sin(theta))=arcsin(-0.0138)theta=.......The inverse function applied to both sides of the equation "cancels out" the sin function and yields the value of the angle that was originally plugged into the function, in this case theta. You can use this principle to solve for theta for any of the other trig functions:arccos(cos(theta))=thetaarctan(tan(theta))=thetaand so on, but calculators usually only have these three inverse functions, so if you encounter a problem using sec, csc, or cot, you need to rewrite it as cos, sin, or tan.sec=1/coscsc=1/sincot=1/tan

### Values of the 6 trigonometric functions?

Sine Theta (sin &theta;) = opposite/hypotenuse = a/c Cosine Theta (cos &theta;) = adjacent/hypotenuse = b/c Tangent Theta (tan &theta;) = opposite/adjacent = a/b Cotangent Theta (cot &theta;) = adjacent/opposite = b/a Secant Theta (sec &theta;) = hypotenuse/adjacent = c/b Cosecant Theta (csc &theta;) = hypotenuse/opposite = c/a You may need to look on the link below for some sample calculations

### How do you simplify csc theta minus cot x theta times cos theta plus 1?

There can be no significant simplicfication if some of the angles are theta and others are x, so assume that all angles are x. [csc(x) - cot(x)]*[cos(x) + 1] =[1/sin(x) - cos(x)/sin(x)]*[cos(x) + 1] =1/sin(x)*[1 - cos(x)]*[cos(x) + 1] =1/sin(x)*[1 - cos2(x)] =1/sin(x)*[sin2(x)] = sin(x)

### Any interesting way in teaching right angle trigonometry?

Below link may help.You need to memorize the basic formulas and it will be easy.pythagorean theoremc&sup2; = a&sup2; + b&sup2;Sine Theta (sin &theta;) = opposite/hypotenuse = a/cCosine Theta (cos &theta;) = adjacent/hypotenuse = b/cTangent Theta (tan &theta;) = opposite/adjacent = a/bCotangent Theta (cot &theta;) = adjacent/opposite = b/aSecant Theta (sec &theta;) = hypotenuse/adjacent = c/bCosecant Theta (csc &theta;) = hypotenuse/opposite = c/a

### How do you simplify csc theta cot theta?

There are 6 basic trig functions.sin(x) = 1/csc(x)cos(x) = 1/sec(x)tan(x) = sin(x)/cos(x) or 1/cot(x)csc(x) = 1/sin(x)sec(x) = 1/cos(x)cot(x) = cos(x)/sin(x) or 1/tan(x)---- In your problem csc(x)*cot(x) we can simplify csc(x).csc(x) = 1/sin(x)Similarly, cot(x) = cos(x)/sin(x).csc(x)*cot(x) = (1/sin[x])*(cos[x]/sin[x])= cos(x)/sin2(x) = cos(x) * 1/sin2(x)Either of the above answers should work.In general, try converting your trig functions into sine and cosine to make things simpler.

### What actors and actresses appeared in Cot Cot - 2007?

The cast of Cot Cot - 2007 includes: Emmanuel Bilodeau Rick Jones

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