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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

How do you solve sin 2x equals sin x over 2?

they do have calculators for these questions you know

sin 2x = (sin x)/2

2 sin x cos x - (1/2)sin x = 0

2 sin x(cos x - 1/4) = 0

2 sin x = 0 or cos x - 1/4 = 0

sin x = 0 or cos x = 1/4

in the interval [0, 360)

sin x = 0, when x = 0, 180

cos x = 1/4, when x = 75.52, 284.48

Check:

How do you inverse one side of a trigonometric identity problem?

You must take the inverse of both sides, which is the equivalent of taking 1 divided by your terms.

What formula do you use to find the perimerter of a SSA triangle?

An SSA triangle is ambiguous.

Suppose the triangle is ABC and, with conventional labelling, you know a, b and angle A.

Then by the cosine rule, a2 = b2 + c2 - 2bc*Cos(A)

This equation will give rise to a quadratic equation in cwhich has 2 solutions. The perimeter is then a + b + c1 or a + b + c2

What is the law of sines and the law of cosines and how do they help solve a triangles' angles and sides?

In a triangle ABC, with side a opposite angle A, side b opposite angle B and side c opposite angle C,

the sine rule is: sin(A)/a = sin(B)/b = sin(C)/c

The cosine rule is: a2 = b2 + c2 - 2bc*cos(A)

and, by symmetry,

b2 = c2 + a2 - 2ca*cos(B)

c2 = a2 + b2 - 2ab*cos(C)

What is the trigonometric function of -120?

Since you didn't specify which trigonometric function you're using, I'll give you all of them.

  • 120 in Degrees
  1. sin120 ~ 0.87
  2. cos120 ~ -0.5
  3. tan120 ~ -1.73
  4. csc120 ~ 1.15
  5. sec120 = -2
  6. cot120 ~ -0.58
  • Answer in Degrees
  1. arctan120 ~ 89.52
  2. arccot120 ~ 0.48
  • 120 in Radians
  1. sin120 ~ 0.58
  2. cos120 ~ 0.81
  3. tan120 ~ 0.71
  4. csc120 ~ 1.72
  5. sec120 ~ 1.23
  6. cot120 ~ 1.4
  • Answer in Radians
  1. arctan120 ~ 1.56
  2. arccot120 ~ 0.008

How is trigonometry used in search and rescue missions?

Often the distressed people may not know their exact location. However, if two or more stations pick up their distress signals then each station can determine the direction from which the signal came. Trigonometric calculations can determine the exact location of the point from which the distress signal was sent and a S&R team is sent off to that location.

What is the application of 3-d snowflake in daily life?

They are used as decorative materials. And we use them as hangings during the Christmas seasons.

Hope u all have got some info,

Nandhini

Find the vertex and equation of the directri for y2 equals -32x?

y2 = 32x

y = ±√32x

the vertex is (0, 0) and the axis of symmetry is x-axis or y = 0

Is a seven sided shape a polygon?

Yes, a seven sided figure, known as a "heptagon", has straight sides. As long as none of the sides are curved or doesn't connect, then it's a polygon.

i will end this with an epic smiley face of doom! :D

What is the inverse cosine of negative one?

the answer is 180 degrees; since cos 180⁰ = -1, then cos-1 -1 = 180⁰

mathematically

cos-1-1

here calculator is required

and you'll get answer 180 degrees.....

How do nurses uses trigonometry?

Trigonometry helps you to easily read the rate of heart beats of a person and their blood pressure level as well.

Why is 90 degrees taken as angle of reference in trigonometry?

It is not. The angle of reference is 2*pi radians or 360 degrees.

A man in a rowing away from light house 100 m high takes 2 minutes to changes the angle of elevation of the top of light house from 60 degree to 45 degree find the speed of the boat?

At the start his distance from the lighthouse is 100/tan(60) = 86.6 m.

After 2 minutes his distance from the lighthouse is 100/tan(45) = 70.7 m.

He travels 15.9 m in 2 minutes = 7.9 m per minute.

What is the solution set for an identity?

It depends on what identity you are talking about whether its multiplicative inverse to additive inverse i mean you have to be more specific

What is the sine of 53 degrees?

You can type sin(53 degrees) into Google and get your answer that way.

Also, I happen to know that 53 degrees is very close to one of the angles of a 3,4,5 right triangle, so sin(53 degrees) is very close to 4/5.

Why does Sine Theta equal Sine 180 minus Theta?

When you subtract theta from 180 ( if theta is between 90 degrees and 180 degrees) you will get the reference angle of theta; the results of sine theta and sine of its reference angle will be the same and only the sign will be different depends on which quadrant the angle is located.

Ex. 150 degrees' reference angle will be 30 degrees (180-150)

sin150=1/2 (2nd quadrant); sin30=1/2 (1st quadrant)

1st quadrant: all trig functions are positive

2nd: sine and csc are positive

3rd: tangent and cot are positive

4th: cosine and secant are positive