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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
He is 75 feet high.
Express all the trignometric ratios in terms of COS A?
Provided that any denominator is non-zero,
sin = sqrt(1 - cos^2)tan = sqrt(1 - cos^2)/cos
sec = 1/cos
cosec = 1/sqrt(1 - cos^2)
cot = cos/sqrt(1 - cos^2)
If cos B is 5/13, find sin B, tan B, sec B, and cot B?
sin= y/r= 12/13
cos= x/r= 5/13
tan= y/x= 12/5
csc= r/y= 13/12
sec= r/x= 13/5
cot= x/y= 5/12
x2+y2=r2
cot[x]= -1
cot[x] = cos[x] / sin[x]
cos[x] / sin[x] = -1
cos[x] = -sin[x]
|cos[x]| = |sin[x]| at every multiple of Pi/4 + Pi/2. However, the signs disagree at 3Pi/4 + nPi, where n is an integer.
How do aerospace engineers use trigonometry?
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When placed next to any angle on a triangle, the theta symbol (θ) represents that missing angle.
Why sine bar is not reliable above 45 degree?
We know that sin @ = h/l is the basic principle of working of sine bar.
Differentiating above equation,
.
. . cos @ . d@ = l.dh - h.dl
_________ l*l
d@ =tan@(dh/l - dl/l)This indicate that error is a function of tan @ and below 45 degree error is smaller which suddenly increases above 45 degree. because of this reason sine bar is preferred for measuring angle below 45
Which shape has one pair of perpendicular sides but no parallel sides?
There are infinitely many polygons which have this property. The easiest to think of is a right triangle. But there are also quadrilaterals, pentagons, etc., that can be constructed that have this property.
Tangent(theta) is sine over cosine, or y over x. x is 120. Theta is 32 and 37. y1 is height of cliff, and y2 is height of cliff plus flagpole.
Tan(32) = y1 / 120, so y1 = 120 tan(32) = 75.
Tan(37) = y2 / 120, so y2 = 120 tan(37) = 90.
Height of flagpole is y2 - y1 = 90 - 75 = 15.
All results rounded to nearest integer.
What solid shapes can both roll and slide?
cylinders: slide on the small sides, roll on the round one
The length of an arc on a circle of radius 16, with an arc angle of 60 degrees is about 16.8.
The circumference of the circle is 2 pi r, or about 100.5. 60 degrees of a circle is one sixth of the circle, so the arc is one sixth of 100.5, or 16.8.
Is sine of an angle directly proportional to an angle?
No. The sine of an angle is not directly proportional to the angle. It is a function of the angle, but it is periodic, repeating every 360 degrees of the angle.
cos(195) = cos(180 + 15) = cos(180)*cos(15) - sin(180)*sin(15)
= -1*cos(15) - 0*sim(15) = -cos(15)
= -cos(60 - 45)
= -[cos(60)*cos(45) + sin(60)*sin(45)]
= -(1/2)*sqrt(2)/2 - sqrt(3)/2*sqrt(2)/2
= - 1/4*sqrt(2)*(1 + sqrt3) or -1/4*[sqrt(2) + sqrt(6)]
What is another name for a cartesian coordinate system?
It is the Cartesian plane or grid system whereas coordinates of x and y are plotted on it.
The area of a triangle with two sides equal to 1 foot and the angle between those two sides equal to 45 degrees is 0.354 square feet.
Draw a triangle, one side of length 1, from the origin to the right along the x axis. The second side, also of length 1, goes up and to the right from the origin at an angle of 45 degrees with respect to the x axis. The third side connects the two end points of those line, but the length of that line does not matter.
Draw a fourth line from the top of the triangle straight down to the x axis. That is the height of the triangle, and it is also sine(45 degrees), which is one half the square root of two or 0.707. Take the base (1), multiply by the height (0.707) and divide by 2 and you get 0.354.
Technically, the fourth line is sine(45 degrees) divided by the hypotenuse, but since the hypotenuse is 1 (the second line), it was omitted in the prior paragraph for clarity.
What does trigonometry involve?
You need to be able to solve logarithms and be very good at algebra. In college, you have to be able to do college level algebra before you can take trig.
How are sine and cosine and secant related?
Sine and cosine are cofunctions, which means that their angles are complementary. Consequently, sin (90° - x) = cos x. Secant is the reciprocal of cosine so that sec x = 1/(cos x). Knowing these properties of trigonometric functions, among others, will really help you in other advance math courses.
How do you find x assume that segments that appear tangent are tangent?
A tangent refers to the way in which a curve is measured. The amount of deviation from the segment line is measures, then a formula applied to find the tangent.
13 feet
i34 is the complex part of the number 0+i34. The real part is 0, so this is a purely imaginary number.
