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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
Composite figures of right triangles in trigonometry?
A composite figure is a figure that is made up of several smaller geometric figures like triangles, circles, or rectangles.
In a right angle triangle it is:
cosine ratio = adjacent/hypotenuse
Rectilinear figures are figures that are produced using just line segments. All of the polygons are rectilinear figures and many 3-dimensional solid shapes are as well.
For what purpose clinometer is used?
a clinometer is used to measure the height of an object such as a tree
What is circumference of a circle in terms of pi?
The circumference of a circle is 2 pi r, where r is the radius, or it is pi d, where d is the diameter.
there is no circuference of pi. Circumference refers to the outer edges of circles
112
Why does sin theta squared plus cos theta squared equal 1?
Sin2(theta) + cos2(theta) = 1 for the same reason that the sides of a right triangle squared equal the hypotenuse squared - The pythagorean theorem.
In the unit circle (origin = (0,0), radius = 1), an angle theta is the angle made by some arbitrary ray drawn from the origin at an angle relative to the x axis. The point of that ray that intersects with the circle is the point (x,y).
Sin(theta) is defined as x, and cos(theta) is defined as y. These are primary trigonometric identities, which link trigonometry with geometry.
Since the points (0,0) (x,0) (x,y) (0,x) describe a right triangle, with (0,x) (0,0) (x,0) being the right angle, then x2 + y2 = 12, or sin2(theta) + cos2(theta) = 1.
If this is not clear, draw a circle around the origin, draw a line from the center to an arbitrary point on the circle, and draw the x and y perpendiculars of that point to each axis. You will see a right triangle. X is sine, Y is cosine, and 1 is hypotenuse. It does not matter if X and/or Y is negative - the squaring will make it positive - and the pythagorean theorem should be visible.
The tangent is the ratio of sine over cosine; also, in a unit circle, Y over X.
2/1
The period of the function y= tan(x) is pie
The periods of the functions y= cos(x) and y= sin(x) is 2pie
If you have all sides of a triangle how do you use the law of cosines to solve the angles?
Label the angles of the triangle A, B, and C. Label the side opposite angle A side a, the one opposite angle B side b, and the one opposite angle C side c.
Let's say you want to solve for angle A, you use the law of cosines:
a^2=b^2+c^2-2bcCosA
CosA is the "variable" in this equation, so isolate this. When you have that, you'll have some number (let's call it D) equal to CosA:
D=CosA
Use the inverse Cos function to find the measure of the angle:
Cos^-1(D)=A
And you have the measure of angle A.
From here you can either use the law of cosines again to find a second angle and then the third, though the easier route is usually to just use the law of sines for find the second angle and then the fact that all three angles add to 180 to find the third.
Quadrant II (Quadrant 2) is the region of the coordinate plane (xy-plane, a graph) that is above the x-axis and to the left of the y-axis. In this quadrant, all x values are positive and all y values are negative.
cos (42 degrees) = 0.74314 (rounded)
cos (42 radians) = -0.4 (rounded)
cos (42 grads) = 0.79015 (rounded)
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
