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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

Where did the word balaclava come from?

It comes from the name of the town 'balaclava' in crimea. The face coverings were knitted in Britain then sent over to British troops.

What is the derivative of sin under root theta?

The derivative of (sin (theta))^.5 is (cos(theta))/(2sin(theta))

How can you find the intersection of planes in geometry?

In analytical geometry, you equate the equations of the two planes and simplify.

What is the formula for finding the angle of an triangle using law of cosines?

a2 = b2 + c2 - 2bc cos(alpha)

b2 = a2 + c2 - 2ac cos(beta)

c2 = a2 + b2 - 2ab cos(gamma)

There are all three formulas. Do not forget to use, arc-cos, when finding angles.

How do you calculate sec in trigonometry?

sec(x)=1/cos(x) - (hint: look at the third letter: sec->(1/)cos,

cosec->(1/)sin, cot->(1/)tan)

Can you use the equation given below to find the second derivative of pi divided by 6 if fx equals cscx?

pi divided by 6 is a constant and so its first derivative is 0. And since that is also a constant, the second derivative is 0. It is not clear what f(x) = csc(x) has to do with that!

Where trigonometric used in real life?

If you are in school and are studying trig then you are using trig in real life.

X4-x3 plus X2 -X plus 1?

It is a polynomial of the fourth degree in X.

In geometry what is the definition of a face?

A lot of people think that the face in geometry is the side of a three dimensional figure, but it can really mean the specific side of a 2-d figure as well. Face just means the front of a figure for the side you're looking at. You can have the face of a circle, for example. It just means the side of the circle you're referring to.

What is the trigonometric values of 82 degrees and 12 minutes?

It is 82 degrees and 12 minutes, as in the question = 82.2 deg = 1.4347 radians.

State 3 conditions for sine wave oscillation to be generated?

  • there is a variable component of motion in the direction at right angles to the direction of propagation of the wave.
  • acceleration is directly proportional to displacement from the direction of propagation of the wave, and
  • the direction of acceleration is opposite to that of the displacement.

What is the meaning of tangent theta?

It is a trigonometric function whose argument is the number theta.

How did Greek astronomers discover trigonometry?

According to Math experts, Hipparchus, Menelaus, and Ptolemy are responsible for developing Greek trigonometry for the purposes of studying differences in shapes of the planets, sun and moon. By observing the shapes of each, they were able to determine the ratios and areas of each one.

What is initial tangent?

The tangent (of a curve) is a vector that is tangent (perpendicular to the normal), i.e. the instantaneous velocity of the curve at a specific point. As such, the initial tangent is the initial velocity of the curve at the point where t=0.

Stated in other terms, the tangent is the slope of the line at a point. This is expressed (in two dimensions, but applicable to higher dimensions), as the line that has x and y coordinates equal to the point of tangency, and slope equal to the limit of delta y over delta x as delta x (and delta y) approaches zero.

Is tangent in geometry and tangent in trigonometry same?

Yes a tangent is a straight line thattouches a curve at only one point

But there is a tangent ratio used in trigonometry

How do you find the additive inverse of a quadratic equation?

Change all the signs.

Suppose you have the quadratic equation: y = ax2 + bx + c

Its additive inverse is -ax2 - bx - c.