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They are called Pythagorean triples such as 2, 4 and 5
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Is a triangle with sides 60 80 and 100 a right triangle?
Yup, it follows the 3, 4, 5 rule (or in this case 6, 8, 10). Triangles with those ratios in the lengths of its sides are always right triangles
Do you have to know three side lengths of a right triangle before you can use trig ratios to find the measure of an acute angle?
12
How was sine cosine and tangent created?
They are all ratios for triangles found by dividing one side of a triangle by the others. Ex: sine=opposite side/hypotenuse. *** This is so for a right-angled triangle. Non-right-angle triangle dimensions can be calculated by trigonometry but require more complicated derived formulae.
What is the equation for finding the sine and cosine and tangent of a triangle?
For finding the angles in a right angled triangle the ratios are: sine = opposite divided by the hypotenuse cosine = adjacent divided by the hypotenuse tangent = opposite divided by the adjacent
What are the trignometric ratios?
There are three trigonometrical ratios for finding the angles and lengths of a right angled triangle and they are tangent, cosine and sine usually abbreviated to tan, cos and sin respectively. tan = opp/adj cos = adj/hyp sin = opp/hyp Note that: opp, adj and hyp are abbreviations for opposite, adjacent and hypotenuse sides of a right angled triangle respectively.
Why do trigonometric ratios do not depend on the size of the right triangle?
Because a right angle will always measure 90 degrees no matter what the dimensions of the triangle are.
Explain how distances can be found using a right triangle?
Using trigonometric ratios.
What is the ratios function of sin?
The sine of an angle in a right triangle is the ratio of the length of the side opposite the angle to the length of the hypotenuse.In terms of ratios, the sine of an angle is defined, in a right angled triangle, as the ratio of lengths of the opposite side to the hypotenuse.
How can you use ratios of the side lengths to find the angle measures of the acute angles in a right triangle?
By using trigonometry that is applicable to a right angle triangle.
Which ratios correctly describes the cosine function?
The cosine function on a right triangle is Adjacent leg divided by the hypotenuse of the triangle.
Why trigonometry ratios are 6 in number?
They correspond to the six possible ratios of two sides of a right triangle: a/b, a/c, b/a, b/c, c/a & c/b.
What is the introduction of plane trigonometry?
It starts with the simple Right-Angled Triangle and its 3 simple ratios: Sine, Cosine, Tangent...
What is the trignometric ratios?
There are six trigonometric ratios. Although applicable for any angle, they are usually introduced in the context of a right angled triangle. The full names of the main three ratios are sine, cosine, tangent. The other three ratios are reciprocals, which are cosecant, secant and cotangent, respectively.Suppose ABC is a triangle which is right angled at B. Thus AC is the hypotenuse.sin(A) = BC/AC = cos(C)cos(A) = AB/AC = sin(C)tan(A) = BC/AB
Is a triangle with sides 60 80 and 100 a right triangle?
Yup, it follows the 3, 4, 5 rule (or in this case 6, 8, 10). Triangles with those ratios in the lengths of its sides are always right triangles
Do you have to know three side lengths of a right triangle before you can use trig ratios to find the measure of an acute angle?
12
Are trigononmetric ratios only relevant for a right triangle?
No. They are usually defined in terms of a right triangle.But the functions have relevance to all triangles and many other geometric shapes, as well.
How was sine cosine and tangent created?
They are all ratios for triangles found by dividing one side of a triangle by the others. Ex: sine=opposite side/hypotenuse. *** This is so for a right-angled triangle. Non-right-angle triangle dimensions can be calculated by trigonometry but require more complicated derived formulae.
