In a right triangle the longest side which is opposite the right angle is called?
It is the hypotenuse
How hard is Trigonometry for the average person to learn?
If they put their mind to it, it is not difficult.
How do you find a side of a triangle?
If it's a right triangle, use pythagorean's theorem (a2+b2=c2) to solve it. =
If it's an oblique triangle, use the law of sines or cosines (see related link)
Which relation are function relation?
A relation is a mapping between two sets, a domain and a range. A function is a relationship which allocates, to each element of the domain, exactly one element of the range although several elements of the domain may be mapped to the same element in the range.
What are the two types of measurement in trigonometry?
Angular displacements measured in radians or stradians, lengths of lines measured in units of length.
What is the smallest angle and area of a triangle with sides of 6.4 cm by 5.7 cm by 8.2 cm?
Using trigonometry its smallest angle is 43.84 degrees and its area is 18.2 square cm
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Using the cosine rule to find the angle:
a² = b² + c² - 2bc cos A
→ cos A = (b² + c² - a²)/(2bc)
→ A = arccos ((6.4² + 8.2² - 5.7²)/(2 × 6.4 × 5.7)) ≈ 43.8°
Area = ½ × b × c × sin A ≈ ½ × 6.4 cm × 8.2 cm × sin 43.8° ≈ 18.2 cm²
Once you REALLY understand the basic definitions and relationships in Trig (Trigonometry) it is not hard. BUT, the most critical time when taking Trig, in my opinion, is right at the beginning, when the teacher is setting up the "ground rules" for the way things are hung together. If you really dig in at the beginning, you can beat it.
Some students initially have problems trying to visualize the problems, but when you learn to break things down in smaller, simpler chunks you've got it beat.
Good Luck & Pay Attention & ASK QUESTIONS!
What is the value of pi to 12 decimal places?
3.141593 is best I can remember.
3.14159265 is a little better. (Chuck Baggett)
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Trigonometric table for decimal value of theta?
Oh honey, just use a calculator. Trigonometric tables are so last century. Type in your decimal value of theta, hit the sin, cos, or tan button, and voila! Math magic at your fingertips. No need to flip through dusty old tables like a math detective.
Does a trigonometry tangent relate to a circle's tangent?
A circle's tangent is exactly the same as a triangle's tangent. If you look at a circle, you can make the radius the hypotenuse. Then make a vertical line from the point, and a horizontal line from the center. If you look, you have a triangle made inside the circle. This is why angles can be measured in radians, a unit that is derived from the circumference of a circle.
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By doing a little calculus, we find that the slope of the equation of a circle-the slope of the tangent line-is given by the tangent of an angle.
AnswerEverything written above is correct, but doesn't have anything to do with tangents (in the circle sense of the word).Suppose you're given an angle theta. Draw a circle together with two radii, one horizontal and the other at an angle theta from the first one. (So far, this is the same as above.) Now draw the tangent to the circle at X, the point where the non-horizontal radius meets the circumference. Let Y be the point where this tangent meets the horizontal line through the centre. Then, assuming the radius is 1, tan(theta) is the distance XY, which is the length of part of the tangent.
How does one differentiate between the sine rule and the sine ratio?
The sine rule(also known as the "law of sines") is:
a/sin A = b/sin B = c/sin C
where the uppercase letters represent angles of a triangle and the lowercase letters represent the sides opposite the angles (side "a" is opposite angle "A", and so on.)
Sine Ratio(for angles of right triangles):
Sine of an angle = side opposite the angle/hypotenuse
written as
sin=opp/hyp.
To draw a perfect circle you will need a drawing compass. To draw a circle you will need a pencil and paper. Starting at the top centre of the paper, place the point of the pencil. Curving around to either the right or the left which ever preferred Guide the pencil all the way around to the starting position making sure that it is symmetrical all the way round. There you have your circle. You may want to use a drawing compass to assist you in drawing a perfect circle. If you do not have a drawing compass you can improvise with a thumb tack and some string. Tie one end of the string to the tack and pin it where you want the centre of your circle to be. Tie the other end to your pencil. Keep the string stretched and move the pencil around the pin to draw a circle. You can change the size of the circle by changing the length of the string.
What does sin cos and tan mean?
They are sine, cosine and tangent, three trigonometric functions. There is a mnemonic device to help you remember what these functions represent. Imagine a right triangle (a triangle containing a 90 degree or right angle). We are interested in the two angles that are NOT 90 degrees. When you imagine these angles you can see that on one side will be the hypotenuse, the long side opposite the right angle. The other side of the angle is the adjacent leg for that angle. So either of these angles is made up of the hypotenuse and its adjacent leg. The other side is the opposite leg.
Now imagine that a space alien named Soh-cah-toa is teaching you trigonometry.
SOH means that the sine is calculated by "opposite over hypotenuse"; the length of the opposite leg divided by the length of the hypotenuse".
CAH means that the cosine is calculated by "adjacent over hypotenuse"; the length of the adjacent leg divided by the length of the hypotenuse".
TOA means that the tangent is calculated by "opposite over adjacent"; the length of the opposite leg divided by the length of the adjacent leg.
If youd like a simpler method, check out these articles for a simple free tool and tutorial that will make trig simple enough for ANYBODY to understand!
http://www.ehow.com/how_5520340_memorize-trig-functions-losing-mind.html
http://www.ehow.com/how_5227490_pass-mind-part-unknown-sides.html
http://www.ehow.com/how_5428511_pass-part-ii-unknown-angles.html
A triangular based pyramid is a tetrahedron which has 4 faces, 6 edges and 4 vertices