Using the Circle Unit which is a chart used in precal and calc classes, you can see that angle 150 in radians is 5pi/6. Using this, the cot value is -Root3.
You cannot because you do not know what R is.
5cm
Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. However, I am assuming the question is about sin (5pi/12). If not, please resubmit your question spelling out the symbols as "plus", "minus", "times" sin(5pi/12) = sin(pi/4 + pi/6) = sin(pi/4)*cos(pi/6) + cos(pi/4)*sin(pi/6) = √2/2*√3/2 + √2/2*1/2 = √2(√3 + 1)/4
cos (3pi x/3) = 0.5 The number of answers depends on the range of angles. I will solve this question using the range 0<x<2 pi. Draw a unit circle, you will see that the quadrants where cosine gives a positive value are the first and the fourth quadrants. The Angles whose cosines give + 0.5 are: pi / 3 and 5pi / 3. (Note that 7 pi/3 and 11 pi/3 are also possible solutions but they lie out of the range 0<x<2pi.) 3pi x/3 = pi/3 OR 3pi x/3 = 5pi/3 Here you can solve the equations to give x = 1/3; 5/3
Using the Circle Unit which is a chart used in precal and calc classes, you can see that angle 150 in radians is 5pi/6. Using this, the cot value is -Root3.
You cannot because you do not know what R is.
-5pi/2
5cm
Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. However, I am assuming the question is about sin (5pi/12). If not, please resubmit your question spelling out the symbols as "plus", "minus", "times" sin(5pi/12) = sin(pi/4 + pi/6) = sin(pi/4)*cos(pi/6) + cos(pi/4)*sin(pi/6) = √2/2*√3/2 + √2/2*1/2 = √2(√3 + 1)/4
We have a formula of finding the arc length, s = θr, where s is the length of the intercepted arc, θ is the central angle measured in radians, and r is the radius of the circle. So that we need to convert 50 degrees in radians. 1 degrees = pi/180 radians 50 degrees = 50(pi/180) radians = 5pi/18 radians s = θr (replace θ with 5pi/18, and r with 3.5) s = (5pi/18)(3.5) = (17.5/18) pi ≈ 3 Thus, the length of the arc is about 3.
cos (3pi x/3) = 0.5 The number of answers depends on the range of angles. I will solve this question using the range 0<x<2 pi. Draw a unit circle, you will see that the quadrants where cosine gives a positive value are the first and the fourth quadrants. The Angles whose cosines give + 0.5 are: pi / 3 and 5pi / 3. (Note that 7 pi/3 and 11 pi/3 are also possible solutions but they lie out of the range 0<x<2pi.) 3pi x/3 = pi/3 OR 3pi x/3 = 5pi/3 Here you can solve the equations to give x = 1/3; 5/3
sin(60) or sin(PI/3) = sqrt(3)/2 cos(60) or cos(PI/3)=1/2 tan(60) or tan(PI/3) = sin(60)/cos(60)=sqrt(3) But we want tan for -sqrt(3). Tangent is negative in quadrant II and IV. In Quadrant IV, we compute 360-60=300 or 2PI-PI/3 =5PI/3 tan(5PI/3) = -sqrt(3) Tangent is also negative in the second quadrant, so we compute PI-PI/3=2PI/3 or 120 degrees. tan(t)=-sqrt(3) t=5PI/3 or 2PI/3 The period of tan is PI The general solution is t = 5PI/3+ n PI, where n is any integer t = 2PI/3+ n PI, where n is any integer
sec x = 2 cos x = 1/2 x = PI/3 and x=5PI/3 The period of cosine is 2PI The general solutions are: x= PI/3 + 2nPI, where n is any integer x = 5PI/3+2nPI, where n is any integer
Assumed that the circle's radius is 2.5 cm, then circumference is pi x 2 x 2.5 = 5pi cm
Unfortunately, the browser used for posting questions is hopelessly inadequate for mathematics: it strips away most symbols. All that we can see is "sin(-1)sin((5pi )(7))". From that it is not at all clear what the missing symbols (operators) between (5pi ) and (7) might be. There is, therefore no sensible answer. It makes little sense for me to try and guess - I may as well make up my own questions and answer them!All that I can tell you that the principal sin-1 is the inverse for sin over the domain (-pi/2, pi/2). Thus sin-1(sin(x) = x where -pi/2 < x
It's a cylinder on its side, so v = pir2h = 5pi = Approx 15.7 cuft