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Right Triangle Find all the missing sides and angles And the six trigonometric functions 1 a 6 b 9 2 a 21 c 27 3 b 2 10 c 7 Thank you?
No.1 A right triangle with sides 6, 9 and 10.82 will have angles of 33.69 and 56.31
sin(33.69) = 0.554699
cos(33.69) = 0.832051
tan(33.69) = 0.666665
cot(33.69) = 1.500004
sec(33.69) = 1.201849
csc(33.69) = 1.802779
sin(56.31) = 0.832051
cos(56.31) = 0.554699
tan(56.31) = 1.500004
cot(56.31) = 0.666665
sec(56.31) = 1.802779
csc(56.31) = 1.201849
No.2 A right triangle with sides 16.97, 21 and 27 will have angles of 38.94 and 51.06
sin(38.94) = 0.628506
cos(38.94) = 0.777805
tan(38.94) = 0.808052
cot(38.94) = 1.237545
sec(38.94) = 1.28567
csc(38.94) = 1.591074
sin(51.06) = 0.777805
cos(51.06) = 0.628506
tan(51.06) = 1.237545
cot(51.06) = 0.808052
sec(51.06) = 1.591074
csc(51.06) = 1.28567
No. 3 A right triangle with sides 3, 6.32 and 7 will have angles of 25.38 and 64.62
sin(25.38) = 0.42862
cos(25.38) = 0.903485
tan(25.38) = 0.474407
cot(25.38) = 2.107894
sec(25.38) = 1.106825
csc(25.38) = 2.33307
sin(64.62) = 0.903485
cos(64.62) = 0.42862
tan(64.62) = 2.107894
cot(64.62) = 0.474407
sec(64.62) = 2.33307
csc(64.62) = 1.106825
What else can I help you with?
What is the measure of the missing angles if the two angles are 62 and 64?
That will depend on the shape but if it's a triangle then the missing angle is 54 because there are 180 degrees in a triangle.
What is the measure of the missing angles of a triangle if one angle measures 34 degrees?
The two missing angles add up to 146 degrees. There's no way to tell what each of them is. In fact, any two angles that add to 146 can be used to construct a fine triangle.
How do you find the missing angle of a triangle if you are given two of the angles?
180 minus two known angles = unknown angle
What is the missing angle of a triangle of 35degree's and 25degree's?
The sum of the angles in a triangle add up to 180. So in this case 180-35-25=120. The missing angle in this problem is 120 degrees.
Two angles of a triangle measure seventy four degrees and forty one degrees. What is the measure of the missing angle?
Since the sum of the internal angles of a plane triangle is 180 degrees, the measure of the missing angle is 65 degrees. 180 - 74 - 41 = 65 degrees.
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.
How can you use inverse trigonometric functions?
You can use them to find the sides and angles of a right triangle... just like regular trigonometric functions
What is the difficulties of trigonometric function of an angles?
TRIGONOMETRIC FUNCTIONS OF ANY ANGLE
What are the connections between right triangle ratios trigonometric functions and the unit circle?
Right triangle ratios serve as the foundation for defining trigonometric functions such as sine, cosine, and tangent, which relate the angles of a triangle to the lengths of its sides. The unit circle, a circle with a radius of one centered at the origin of a coordinate plane, extends these concepts by allowing trigonometric functions to be defined for all angles, not just those in right triangles. In the unit circle, the x-coordinate corresponds to the cosine of the angle, while the y-coordinate corresponds to the sine, thus linking the geometric representation of angles to their trigonometric values. This connection facilitates the understanding of periodic properties and the behavior of trigonometric functions across all quadrants.
Are trigonometric functions used to find the acute angles of a right triangle?
they can be, depending on the information that you are given. If you know lengths of sides, then YES.
Uses of six trigonometry functions?
The trigonometric functions give ratios defined by an angle. Whenever you have an angle and a side in right triangle, you can find all the other angles and sides using the six trigonometric functions and their inverses. The link below demonstrates the relationship between functions.
What is trigonometry all about?
The word, trigonometry" is derived from trigon = triangle + metry = measurement. It is based on the study of angles of a triangle and their properties. Although trigonometric ratios are often introduced to students in the context of triangles, their properties for all angles.For example, trigonometric functions are well defined for angles with negative values as well as for more than 180 degrees even though no triangle can possibly have angles with such measures.
How calculate angle in isosceles triangle?
use protractor, or divide isosceles triangle into two right triangles, and use trigonometric functions to find the angles individually (ONLY IF YOU HAVE ALL SIDE LENGTHS CAN YOU DO THIS)
Where can one find a list of trigonometric identities?
Trigonometric identities involve certain functions of one or more angles. These identities are useful whenever expressions involving trigonometric functions need to be simplified.
Topics need for trigonometry?
There are several topics under the broad category of trigonometry. * Angle measurements * Properties of angles and circles * Basic trigonometric functions and their reciprocals and co-functions * Graphs of trigonometric functions * Trigonometric identities * Angle addition and subtraction formulas for trigonometric functions * Double and half angle formulas for trigonometric functions * Law of sines and law of cosines * Polar and polar imaginary coordinates.
How do you calculate the right angle triangles angles?
To calculate the angles of a right triangle, you can use trigonometric ratios: sine, cosine, and tangent. For a triangle with an angle ( A ), you can find the sine (( \sin A )), cosine (( \cos A )), or tangent (( \tan A )) based on the lengths of the opposite, adjacent, and hypotenuse sides. Additionally, you can use the inverse trigonometric functions (arcsin, arccos, arctan) to find the angles given the lengths of the sides. Remember that the sum of the angles in any triangle equals 180 degrees, so if you know one angle is 90 degrees, the other two angles will sum to 90 degrees.
What does similarity have to do with trigonometry?
In geometry, similar shapes have the same angles. This means that the values of the basic trigonometric functions of these angles are the same.
