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How do ratios of side lengths compare for similar triangles?
they both have the same ratios
What are the 3 basic trig ratios and how do they work?
The three basic ratios are sine, cosine and tangent.In a right angled triangle,the sine of an angle is the ratio of the lengths of the side opposite the angle and the hypotenuse;the cosine of an angle is the ratio of the lengths of the side adjacent to the angle and the hypotenuse;the tangent of an angle is the ratio of the lengths of the side opposite the angle and the the side adjacent to the angle.
What calculation is different in finding missing side lengths and angle measures in a right triangle using the trigonometric functions?
When finding missing side lengths in a right triangle using trigonometric functions, you typically apply ratios like sine, cosine, or tangent, which relate the angles to the lengths of the sides. Conversely, when calculating missing angle measures, you use the inverse trigonometric functions (such as arcsine, arccosine, or arctangent), which take the ratios of the sides and return the corresponding angles. Thus, the key difference lies in using direct ratios for side lengths and inverse functions for angles.
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?
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Give the definition of similar triangle?
Similar triangles means they have the same lengths OR the corresponding lengths have equal ratios.
How do ratios of side lengths compare for similar triangles?
they both have the same ratios
How are ratios and scale factors different?
Ratios show the information of the side lengths scale factors show the information of how they are related
What are the 3 basic trig ratios and how do they work?
The three basic ratios are sine, cosine and tangent.In a right angled triangle,the sine of an angle is the ratio of the lengths of the side opposite the angle and the hypotenuse;the cosine of an angle is the ratio of the lengths of the side adjacent to the angle and the hypotenuse;the tangent of an angle is the ratio of the lengths of the side opposite the angle and the the side adjacent to the angle.
If two parallelograms are similar what do you know about the ratios of the two side lengths within one parallelograms and the ratios of the correspondingside lengths in the other parallelogram?
If and when two parallelograms are similar, you know that the ratio of two side lengths within one parallelogram will describe the relationship between the corresponding side lengths in a similar parallelogram. If and when two parallelograms are similar, you know that the ratio of corresponding side lengths in the other parallelogram will give you the scale factor that relates each side length in one parallelogram to the corresponding side length in a similar parallelogram.
What calculation is different in finding missing side lengths and angle measures in a right triangle using the trigonometric functions?
When finding missing side lengths in a right triangle using trigonometric functions, you typically apply ratios like sine, cosine, or tangent, which relate the angles to the lengths of the sides. Conversely, when calculating missing angle measures, you use the inverse trigonometric functions (such as arcsine, arccosine, or arctangent), which take the ratios of the sides and return the corresponding angles. Thus, the key difference lies in using direct ratios for side lengths and inverse functions for angles.
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.
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?
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What are trigometric ratios?
The ratios pertaining to right angled triangles are called trigonometrical ratios.They are- sine x = Opposite side/Hypotenuse cosine x= Adjacent side/Hypotenuse tangent x= Opposite side/Adjacent side Cosecant x= Hypotenuse/Opposite side secant x= Hypotenuse/Adjacent side cotangent x= Adjacent side/Opposite side Here, x is one of the angles in the trangle except the right-angled one.
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.
How are the information given by scale factors different from the information given by the ratios of side lengths?
The information of a scale factors tell you how much to multiply to stretch or shrink the figure into the similar figure. On the other hand the information given by the twirls of side lengths is a comparison of two quantities
Give the definition of similar triangle?
Similar triangles means they have the same lengths OR the corresponding lengths have equal ratios.
Why do similar triangles have the same trigonometric ratios?
Trigonometric ratios are characteristics of angles, not of lengths. And, by definition, the corresponding angles an similar triangles have the same measures.
