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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 law of trigonometry?
There is no single law in trigonometry so the question makes no sense.
How do you find the elevation of the sun?
WARNING: Do not, under any conditions, look at the sun, directly or indirectly.
The find the elevation of the sun, measure the angle that an object's shadow from the sun makes. One way to do this is with a stick in the ground. Assuming the stick is perpendicular to the ground, the ratio of the stick's length to the shadow's length is the tangent of the angle of elevation. Solve for inverse tangent, and you have the angle.
The period of the function y= tan(x) is pie
The periods of the functions y= cos(x) and y= sin(x) is 2pie
What is Cos 2 x divided by cos x?
cos 2x = cos2 x - sin2 x
= 2 cos2 x - 1; whence,
cos 2x / cos x = 2 cos x - (1 / cos x)
= 2 cos x - sec x.
Show that cos3t equals 4cos cubed t - 3cos t?
cos(3t) = cos(2t + t) = cos(2t)*cos(t) - sin(2t)*sin(t)
= [cos2(t) - sin2(t)]*cos(t) - 2*cos(t)*sin(t)*sin(t)
= [cos2(t) - sin2(t)]*cos(t) - 2*cos(t)*sin2(t)
then, since sin2(t) = 1 - cos2(t)
= [2*cos2(t) - 1]*cos(t) - 2*cos(t)*[1 - cos2(t)]
= 2*cos3(t) - cos(t) - 2*cos(t) + 2*cos3(t)
= 4*cos3(t) - 3*cos(t)
What is the area of an irregular figure-sides 2cm 3cm 4cm and 9cm?
2X3=6+(4X9)=
42
42 square centimeters
Average Rate of Change Fx equals x2 plus 3x plus 5.1 from x1 equals -5 to x2 equals 6?
f(x1) = (-5)2 + 3*(-5) + 5.1 = 25 - 15 + 5.1 = 15.1
f(x2) = (6)2 + 3*(6) + 5.1 = 36 + 18 + 5.1 = 59.1
f(x2)-f(x1) = 59.1 - 15.1 = 44
x2 - x1 = 6 - (-5) = 11
So average rate of change = 44/11 = 4
6 trigonometric function an acute angle?
Placing a question mark at the end of a phrase does not make it a sensible question. Try to use a whole sentence to describe what it is that you want answered.
Absolutely not!If C is the right angle, then by conventional notation, c is the hypotenuse and so is the longest side!
What kind of angles does a stop sign have?
Stop signs are usually octagonal, so internal angles are 135°
Simple angle of elevation word problem?
A simple angle of elevation problem...
You want to find out the height of a tree. You measure the distance from you to the base and find that it is 100 feet. You measure the angle of elevation of the top and find that it is 30 degrees. You are six feet tall. How tall is the tree?
Answer: The tree is 64 feet tall. Its height is tangent 30 times 100 + 6.
What is the sine and cosine of 180 degrees?
sin(180) = 0, cos(180) = -1. You can get those results on any scientific calculator, including the one that comes with Windows. Just make sure that the angle measurement is set to degrees.
Tan equals 0.3421 sin equals 0.3237 Which quadrant does it terminate?
The value of tan and sin is positive so you must search quadrant that tan and sin value is positive.
The only quadrant fill that qualification is Quadrant 1.
The cube has a side 5 units in length. The middle three on each edge will have two green sides, there are 12 non-overlapping edges so the answer is 36. (3 sides = 8,
1 side = 54, no paint 27)
Area = 0.5*21*28 = 294 square inches
What angles have the same inverse cosine?
Given an angle A, the angle (2pi - A) has the same cosine. So do the angles that differ from these by 2k*pi radians for all integers k. If you are still working in degrees, you should substitute 180 degrees for pi radians.
The shorter leg of a 30 -60 -90 triangle is 9.4 feet long Find the perimeter?
Length of longer leg = 9.4 tan 60 = 16.28 feet
Length of hypotenuse = 9.4 ÷ cos 60 = 18.8 feet
Perimeter of triangle = 9.4 + 16.28 + 18.8 = 44.48 feet
What is the exact trigonometric function value of tan 2670 degrees?
First start by reducing 2,670 down to be greater than 0 but less than 360.
We can find co-terminal angles to 2,670 by subtracting 360:
2,670-360=2,310
2,310-360=1,950
1,950-360=1,590
1,590-360=1,230
1,230-360=870
870-360=510
510-360=150
So, now the problem is Tan(150).
This is equal to the Sin(150)/Cos(150). The Sin(150)=1/2 and Cos(150)=-sqrt(3)/2
So Sin(150)/Cos(150)=[1/2]/[-sqrt(3)/2]=[1/2]*[2/-sqrt(3)]=-1/sqrt(3)=-sqrt(3)/3
So Tan(2,670)=-sqrt(3)/3 ("Negative square root of three over three")
