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Trigonometry
Trigonometry is a field of mathematics. It is the study of triangles. Trigonometry includes planar trigonometry, spherical trigonometry, finding unknown values in triangles, trigonometric functions, and trigonometric function graphs.
3,810 Questions
What is the derivative of sin pi x?
If you mean y = Sin(pi(x))
Then
Use the chain rule
dy/dx = dy/du X du/dx
Let
pi(x) = u
y = Sin (u)
dy/du = Cos(u)
u = pi(x)
du/dx = pi
Combining
dy/dx = pi Cos(u) = piCos (pi(x)). The answer!!!!!
What does sin(pi/4) = ?
Let's consider a special right triangle: the 45-45-90 triangle.
In any 45-45-90 triangle, since the two 45 degree angles are congruent, the sides opposite to those angles are both congruent.
Now, considering the unit circle, the radius of the circle must be one.
So, if you put in a 45-45-90 triangle in a unit circle, this allows you to find the value of sin pi/4 because pi/4 radians = 45 degrees.
Because the circle has radius 1, the hypotenuse of the triangle must also be one. Since the other two sides must be equal, you can solve for them using the Pythagorean theorem.
a2 + b2 = c2
a2 + a2 = 12
2a2 = 1
a2 = 1/2
a = √(1/2)
a = 1/√(2) * (√(2)/√(2))
a = √(2) / 2
Since sin is defined as opp/hyp, sin 45 degrees (pi/4 radians) = (√(2)/2)/1 = √(2)/2
I hope this helped explain my answer. If there's anything that's still confusing, just tell me. (Sorry I didn't do it the first time).
You need to use a calculator or computer. The answer will depend on whether the angle is measured in degrees or radians.
What is a ten-sided figure called?
A ten sided figure is called a Decagon. ( i think that's how you spell it. )
by using x instead of theta (to make it easier to type), 4sinxcosx can be simplified to 2sin2x.
What is the turning point in the graph of a quadratic function?
The answer depends on the form in which the quadratic function is given.
If it is y = ax2 + bx + c
then the x-coordinate of the turning point is -b/(2a)
well theprobability would be 2x52/4 which is about 26%
when we taking the right angle triangle,in this when taking the 30 degrees of one side ,then the ratio of the opposite side to the hypotenuse will 0.5 always.and this is called sin30 in trigonometry and...............this is answered by sreenivassn from narayana engineering college,gudur.
This is NOT a Pythagorean triangle.
So we must fall back on the Cosine Rule for an agular value.
Cosine Rule is a^(2) = b^(2) + c^(2) - 2bcCosA
Algebraically rearranging
CosA = [a^(2) - b^(2) - c^(2)] / -2bc
Substituting
CosA = [10^(2) - 7^(2) - 5^)2)] / -(2(7)(5))
CosA = [100 - 49 - 25]/-70
CosA = 26/-70
CosA = -0.371428571...
A = Cos^(-1) -0.371428573
A =111.8037 481 ... degrees. -
Now area of triangle is 0.5 X Base X height
The height is = 7Sin(111.8037481...)
Hence are is 0.5(5)(7)Sin(111.8037481...)
Area = 16.248... m^(2)
Is arc of a circle a undefined term?
The Arc of a circle is that part of the circumference between two radii.
What is angle Theta if sine theta 0.03125?
Sin(theta) = 0.03125
Hence
theta = ArcSin(0.03125)
theta = 1.790784659... degrees.
What is the other name of trigonometry?
There is no other names!!!!
Howver 'the word' trigonmetry' comes from Latin, and means 'measuring triangles.'.
trigon ( a three sided 2-dimenstional figure) = triangle (modern).
Metry = to measure.
Solution for tan x is equal to cos x?
if tan x = cos x then
sin x / cos x = cos x
=> sin x = cos x cos x
=> sin x = cos2 x
=> sin x = 1 - sin2x
=> sin2x + sin x - 1 = 0
Using the quadratic formula
=> 1. sin x = 0.61803398874989484820458683436564
=> x = sin-1 (0.61803398874989484820458683436564)
or
=> 2. sin x = -1.6180339887498948482045868343656
=> x = sin-1 (-1.6180339887498948482045868343656)
What is the value of theta if 4sin theta is equal to 2?
4 sin(theta) = 2 => sin(theta) = 2/4 = 0.5.
Therefore theta = 30 + k*360 degrees or 150 + k*360 degrees where k is any integer.
This depends on whether 23 is in radians or degrees. If it is in degrees, then the answer is approximately 0.92. If it is in radians, then the answer is approximately -0.53.
The value of cos 46 degrees is approximately 0.7193. Cosine is a trigonometric function that represents the ratio of the adjacent side to the hypotenuse in a right triangle. In this case, when the angle is 46 degrees, the cosine value is calculated by dividing the length of the adjacent side by the length of the hypotenuse.
What is the sum of the first 100 odd numbers?
the answer is 2500
I am sorry but this answer is wrong. You only added the numbers between 1 and 100. The question is the first 100 odd numbers, you need to add 1 to 197. The correct answer is 10,000.
