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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 cosine 2 theta when sine theta equals .28?

If sine theta is 0.28, then theta is 16.26 degrees. Cosine 2 theta, then, is 0.8432

Formula for instantaneous speed?

lim as h->0 of (f(x+h) - f(x))/h

or

lim as x->a of (f(x) - f(a))/(x - a)

Are shifts sin cos tan equal to csc sec cot respectively?

No, they are the inverse functions, while csc, sec and cot are the reciprocal functions.

To illustrate the difference, the inverse of f(x) = x+3 is f-1(x) = x-3

But the reciprocal of f(x) is 1/f(x) = 1/(x+3)

How do you work out the area of a triangle with sides of 10cm 9cm and 11cm?

If the 3 sides are x, y and z then let s = (x+y+z)/2

Area = sqrt[s*(s-x)*(s-y)*(s-z)] sq cm.

How do you name a quadrant?

Normally they are named as follows:

Top Right = I

Top Left = II

Bottom Left = III

Bottom Right = IV

What is one of the trigonmetric functions?

The three basic trigonometric ratios are sine (sin), cosine (cos) and tangent (tan)

They are found by comparing two of the three sides of a right triangle. The hypotenuse is the the longest side of the right triangle, and is opposite the right angle. The other two sides are the legs. One leg is adjacent to an angle, and the other is opposite the angle.

The three ratios are

sin(x) = opposite/hypotenuse

cos(x) = adjacent/hypotenuse

tan(x) = opposite/adjacent

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What is the inverse sine of 1.5?

The previous answers are wrong.The answer is 1.5707963267949-0.962423650119207i.

What is a cosion?

As far as I know, there is no such word as "cosion." Are you asking about the mathematical term "cosine"? If so, it comes from trigonometry. In a right triangle, the cosine is the ratio of the length of the adjacent side to the length of the hypotenuse. The abbreviation for cosine is "cos."

How do you determine the height of a mast?

You can determine the height of a mast by using the tangent. Measure the distance from the base, and the angle of elevation of the top of the mast as observed from that distance. The tangent is y over x, so substitute x for the distance from the base and y for the height of the mast. Solve from there.

For instance, if the angle is 60 degrees and the x distance is 25 feet, then...

tan (60) = y / 25

25 tan (60) = y

y = 43.3

What is the differences between in equation and an expresion?

An equation consists of two expressions, one on either side of an equality symbol.

How do you graph y equals tan 2x?

Bound the y values to anything you like, but to keep consistent with cosine and sine you may want to bound them between -1 and 1.

Bound the x values between -180 and 180 (if you're working in degrees) or however quickly you think people will get the point. Every 90 degrees draw a x^3 style line and draw dotted lines to symbolise the asymptotes.

What is the value of tan -90?

Assuming you mean -90 degrees, not radians:

tan (-90) = [sin(-90)]/[cos(-90)] = (-1) / 0

You cannot divide by zero. tan (-90) is undefined/does not exist.