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What is the exact value of cotangent 150 degrees?
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.
What is tan 5pi over 8 times R to the nearest thousandth and how can you find this on a scientific calculator?
You cannot because you do not know what R is.
What is the diameter of a circle with a circumference of 5pi cm?
5cm
What is the exact answer to the sine of 5pi 12?
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
How do you find the general solution for cos of 3x- pi over 3 equals 0.5?
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
