The angle that correctly completes the law of cosines for this triangle is 74°
Further explanation
Firstly , let us learn about trigonometry in mathematics.
Suppose the ΔABC is a right triangle and ∠A is 90°.
sin ∠A = opposite / hypotenuse
cos ∠A = adjacent / hypotenuse
tan ∠A = opposite / adjacent
Let us now tackle the problem!
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In this problem, we will use the law of cosines as follows:
[tex]a^2 = b^2 + c^2 - 2bc \cos \theta[/tex]
where:
θ is the angle between the sides of b and c.
a is the opposite side of θ.
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Based on the rules above, it can be written down:
[tex]24^2 = 7^2 + 25^2 - 2(7)(25) \cos \boxed{74^o}[/tex]
The angle that correctly completes the law of cosines for this triangle is [tex]\boxed{74^o}[/tex]
Another law of cosines could be written as follows:
[tex]7^2 = 24^2 + 25^2 - 2(24)(25) \cos \boxed{6^o}[/tex]
[tex]25^2 = 7^2 + 24^2 - 2(7)(24) \cos \boxed{90^o}[/tex]
[tex]\texttt{ }[/tex]
Learn more
- Calculate Angle in Triangle : https://brainly.com/question/12438587
- Periodic Functions and Trigonometry : https://brainly.com/question/9718382
- Trigonometry Formula : https://brainly.com/question/12668178
Answer details
Grade: College
Subject: Mathematics
Chapter: Trigonometry
Keywords: Sine , Cosine , Tangent , Opposite , Adjacent , Hypotenuse , Triangle , Fraction , Lowest , Function , Angle
