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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 sss in postulate?

This stands for side-side-side. It means if two triangles have three sides that are the same length, than they triangles are congruent.

What does sin 4 theta equal?

assuming that you mean what is theta if sin 4 theta = 0 then then theta=0, 0.25pi, 0.5pi, 0.75pi...

if not then without additional information the best answer you can get is sin4theta=sin4theta

A yacht leaves a dock at a bearing of S 1.4 degrees E and a speed of 20 knots over 428 nautical-miles. a. How long will it take the yacht to make the trip b. How far east and south is it after 12hr?

1 knot = 1 nautocal mile per hour.

So 428 nm @ 20 knots per hour will take 428/20 = 21.4 hours.

After 12 hours, it is 20*12 = 240 nautical miles away.

Its distance East is 240*cos(1.4deg) = 239.9 nautical miles and

its distance South is 240*sin(1.4deg) = 5.9 nautical miles.

In a triangle ABC b equals 15 cm and c equals 25 cm and also angle B equals 32'15'Find the side a and other angles?

By the sine rule,

sin(C)/c = sin(B)/b

so sin(C) = 25/15*sin(32d15m) = 0.8894

so C = 62.8 deg or 117.2 deg.

Therefore, A = 180 - (B+C) = 85.0 deg or 30.5 deg

and then, using the sine rule again,

a/sin(A) = b/sin(B)

so a = sin(A)*b/sin(B) = 28 or a = 14.3

What is the cosine of 10 degrees?

The cosine of 10 degrees is 0.98480775301221. Hope I helped!

What is period as it pertains to the graph of sine and cosine?

Period is how long it takes for the sine and cosine functions to restart repeating themselves. Both have a period of 2pi (360 degrees).

Why is sine 30 the same as cosine of 60?

sin(30) = sin(90 - 60) = sin(90)*cos(60) - cos(90)*sin(60)

= 1*cos(60) - 0*sin(60) = cos(60).

Where is the origin of trigonometry in 18Th century?

The origin of trigonometry in the 18th century was the trigonometric knowledge at the end of the 17th century!

What is the probability that a couple with 3 children will have at least 1 girl?

The easiest way of calculating this is to find the probability that all three are boys, as this is the only arrangement that does not fit the criteria. Then work out the answer by taking this away from 1. Probability that all three are boys = 1/2 x 1/2 x 1/2 = 1/8. probability of there being at least one girl is 1 - 1/8 = 7/8 or 87.5%

What is The Latin maxim nulla poena sine lege is also known as?

The principle of legality; no act should be made criminal or punished without advance warning in the form of legislative act.

Explain why tan270 degrees is undefined?

Just as at 90 degrees, it goes to infinity. That is because tangent of angle is opposite side over adjacent side. The oppsoite side gets bigger and bigger after 45 dgerees ( and in your case then after 225 degrees) until it grows beyond all bounds at 270 degrees

How does sin2x divided by 1-cosx equal 1 plus cosx?

sin2x / (1-cos x) = (1-cos2x) / (1-cos x) = (1-cos x)(1+cos x) / (1-cos x) = (1+cos x)

sin2x=1-cos2x as sin2x+cos2x=1

1-cos2x = (1-cos x)(1+cos x) as a2-b2=(a-b)(a+b)

What is the exact value of cos 30?

The radical answer is sqrt(3)/2.

(0.86602540378443864676372317075294)