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What is the exact value of cot 15 half angle formula?
cot 15 = cot(45 - 30) = cot45.cot30 - 1 / cot45 + cot 30
What is the exact trigonometric function value of cot 15 degrees?
cot(15)=1/tan(15) Let us find tan(15) tan(15)=tan(45-30) tan(a-b) = (tan(a)-tan(b))/(1+tan(a)tan(b)) tan(45-30)= (tan(45)-tan(30))/(1+tan(45)tan(30)) substitute tan(45)=1 and tan(30)=1/√3 into the equation. tan(45-30) = (1- 1/√3) / (1+1/√3) =(√3-1)/(√3+1) The exact value of cot(15) is the reciprocal of the above which is: (√3+1) /(√3-1)
Definition of the 6 trigonometric functions?
The six main trigonometric functions are sin(x)=opposite/hypotenuse cos(x)=adjacent/hypotenuse tan(x)=opposite/adjacent csc(x)=hypotenuse/opposite cot(x)=adjacent/opposite sec(x)=hypotenuse/adjacent Where hypotenuse, opposite, and adjacent correspond to the three sides of a right triangle and x corresponds to an angle in that right triangle.
Which of the six trigonometric functions are even functions?
A function f(x) is even if: f(x) = f(-x) In layman's terms this property simply means that any real number in the domain and it's opposite will yield the same function value in the range. To simplify this down even further, an even function, when graphed will appear to be symetric about the y-axis (assuming that you use the standard Cartesian coordinate plane). In the case of trig functions, you would have to test whether the even function property holds true for each. We will the test points π, π/2, or π/4. NOTE: The # signs are present next to the functions that are even: 1. Sine: f(x) = sin(x) -> sin(π/2) = 1, but sin(-π/2) = -1. Since 1 does not equal -1, sine is NOT an even function. 2. #Cosine: f(x) = cos(x) -> cos(π) = -1 = cos(-π). Since both are equal, cosine IS an even function. 3. Tangent: f(x) = tan(x) -> tan(π/4) = 1, but tan(-π/4) = -1. Therefore, tangent is NOT an even function. 4. Cosecant: f(x) = csc(x) -> csc(π/2) = 1, but csc(-π/2) = -1. Therefore, cosecant is NOT an even function. 5. #Secant: f(x) = sec(x) -> sec(π) = -1 = sec(-π). Since the secant function has asymptotes, it IS an even function provided that x does not equal π(2n+1)/2, where n may be all integers. 6. Cotangent: f(x) = cot(x) -> cot(π/4) = 1, but cot(-π/2) = -1. Therefore cotangent is NOT even.
How do you find the area of a triangle using cotangent?
(c2) / (2 cot A + cot B) = Area of Triangle ABC
What is the trigonometric function for cotA plus B plus C?
cot(A+B+C) is, itself, a trigonometric function, so the question does not really make any sense!
Choose the correct function value for cot 81.1?
cot 81.1°
What is the exact value of cot 15 half angle formula?
cot 15 = cot(45 - 30) = cot45.cot30 - 1 / cot45 + cot 30
Examples of trigonometric function?
There r 6 trignometric functions,namely sin a cos a tan a cosec a sec a cot a where a is the angle. Trigonometric functions didn't exist without angles.
What is the exact trigonometric function value of cot 15 degrees?
cot(15)=1/tan(15) Let us find tan(15) tan(15)=tan(45-30) tan(a-b) = (tan(a)-tan(b))/(1+tan(a)tan(b)) tan(45-30)= (tan(45)-tan(30))/(1+tan(45)tan(30)) substitute tan(45)=1 and tan(30)=1/√3 into the equation. tan(45-30) = (1- 1/√3) / (1+1/√3) =(√3-1)/(√3+1) The exact value of cot(15) is the reciprocal of the above which is: (√3+1) /(√3-1)
What is the value of the six trigonometric functions of 90?
sin(90°) = 1 cos(90°) = 0 tan(90°) = ∞ sec(90°) = ∞ csc(90°) = 1 cot(90°) = 0
The function cot 115 degrees is equivalent to?
cot(115º) = -tan(25) or cot(115º) = -0.466308
What is the residue of the function cot z next to a given point residue at 0?
The residue of the function (\cot z) at the point (z = 0) can be calculated by expanding (\cot z) in its Laurent series. The function (\cot z) has a simple pole at (z = 0) with residue equal to (1). Therefore, the residue of (\cot z) at (z = 0) is (1).
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 value of tangent of 6?
tan6=cot(90-6) = cot 84
What is cot curve?
Cot curve is concerned with the measurement of the degree of reannealing of DNA strands. It is a curve drawn with X-axis having DNA concentration unit multiplied by time. Since the initial concentration is considered represented as Co and when multiplied with time t, it becomes "Cot" and the graph is known as Cot curve. The graph is drawn against %reanealled versus Cot.
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.
