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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 cos theta minus cos theta times sin squared theta?

cos(t) - cos(t)*sin2(t) = cos(t)*[1 - sin2(t)]

But [1 - sin2(t)] = cos2(t)

So, the expression = cos(t)*cos2(t) = cos3(t)

How do you convert degree minutes seconds into decimal degree?

Some scientific caculators can convert degrees minutes and seconds into decimal degrees and vice versa as for example 60045'18'' = 60.755

Why does trigonometry contain the root for three?

Most branches of mathematics - including trigonometry - deal with numbers. The square root of three is a number.

What important in trigonometry in your life and course?

I live in a house. It could not have been built without trigonometry.I get about on a push-bike, car or other vehicles. None of these would work without trigonometry.



How many questions do you need right to pass trigonometry regents?

On the New York State Algebra 2/Trigonometry regents examination, it is recommended to get at least 20 of the 27 part I multiple choice questions correct. When you reach the Part II, III, and IV there are 12 question remaining for a total of 39 questions on the examination. Part IV is the last section, containing 1 question which is arguably the longest and most difficult on the test. The grading and conversation chart changes per each test, but is recommended to get at least 7 of the 12 Part II,III, and IV correct (however it varies per question how many points each question is worth.) That is the basic outline of the exam, and each student is given 3 hours to complete the examination. Good luck if you are taking it.

How do you find the area of an odd figure?

Cut it out of a material whose weight per unit of area you know, weigh it, then divide the weight by the weight per unit of area.

Is sin squared theta and sin theta squared the same?

Your question is insufficiently precise, but I'll try to answer anyway.

"Sine squared theta" usually means "the value of the sine of theta, quantity squared".

"Sine theta squared" usually means "the value of the sine of the quantity theta*theta".

The two are not at all the same.

What are two absolute value equations that share a vertex?

In math a normal absolute value equations share a vertex.

What quadrant does angle - 980 degrees lie in?

The answer is 3rd quadrant because 980 degree -720 degree =260 degrees so the 3rd quadrant is 180 degrees to 270 degrees

How do astronomers use trigonometry?

One example of an astronomer's use of trigonometry is determining the distance to a star by triangulation.

What is the functions of plicae circulares?

The plicae circulares slow down the food passing along the intestines. Because of their shape there is an increase in the surface area between the food and the walls on the intestines which allows more efficient absorption of nutrients from the chyme - the stuff that comes from the stomach.

How do you label sides of a right angle triangle?

A right angle triangle has an hypotenuse which is its longest side, an adjacent side and an opposite side.

What is the length of side c in Triangle ABC to the nearest whole number if A equals 42 degrees and B equals 87 degrees and a equals 24?

28

The Law of Sines: a/sin A = b/sin B = c/sin C

24/sin 42˚ = c/sin (180˚ - 42˚ - 87˚) since there are 180˚ in a triangle.

24/sin 42˚ = c/sin 51˚

c = 24(sin 51˚)/sin 42˚ ≈ 28

Does the value of sin theta increases as theta increases?

As θ increases from 0 to π/2 (90o) sin θ increases until it reaches a maximum value of 1 when θ = π/2.

As θ increases from π/2 (90o) to 3π/2 (270o) sin θ decreases until it reaches a minimum value of -1 when θ = 3π/2.

As θ increases from 3π/2 (270o) to 3π (360o) sin θ increases until it reaches the value of 0 it had when θ = 0.

From this point, as θ increases (by the same amounts) sin θ repeats this same cyclic behaviour.

How do you simplify csc theta tan theta?

With all due respect, you don't really want to know howto solve it.

You just want the solution.

csc(Θ) = 1/sin(Θ)

tan(Θ) = sin(Θ)/cos(Θ)

csc(Θ) x tan(Θ) = 1/sin(Θ) x sin(Θ)/cos(Θ) = 1/cos(Θ) = sec(Θ)

What is the cosecant of 105 degrees?

The cosecant of an angle is the reciprocal of the sine of that angle. So, to find the cosecant of 105 degrees, you first need to find the sine of 105 degrees. The sine of 105 degrees is approximately 0.9659. Therefore, the cosecant of 105 degrees is approximately 1.0353 (1 divided by 0.9659).

What is the value of 1- cos x when x is small?

1 - cos x as x approaches 0.

what is the cos of 0? It is 1.

So as x approaches 0 cos x approaches 1.

1 - 1 = 0

So as it gets very small the solutions gets smaller.

What is the length of the sides of a right triangle is the hypotenuse is 6.7?

They are such that their squares sum to 6.72 = 44.89

ie if one side is of length x with 0 < x < 6.7

the other side is of length √(44.89 - x2)