JennyTheBest813
Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Discover comprehensive solutions to your questions from a wide network of experts on our user-friendly platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Trigonometry
In the diagram, tan(C)=2.4. Find cos(A).
ONLY ANSWER IF YOU HAVE A VALID EXPLANATION!

Trigonometry In The Diagram TanC24 Find CosA ONLY ANSWER IF YOU HAVE A VALID EXPLANATION class=

Sagot :

Corsaquix

Answer:

[tex]\cos(A)=\frac{12}{13}[/tex]

Step-by-step explanation:

Without loss of generality, let [tex]AB=24[/tex] and [tex]BC=10[/tex] (follows tan(C)=2.4). In a right triangle, the tangent of an angle is equal to its opposite side divided by its adjacent side and the cosine of an angle is equal to its adjacent side divided by the hypotenuse.

We can use the Pythagorean Theorem ([tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse) to solve for the hypotenuse:

[tex]24^2+10^2=h^2,\\h^2=676,\\h=26[/tex]

Therefore, [tex]\cos(A)=\frac{24}{26}=\boxed{\frac{12}{13}}[/tex]

helloIneedschoolhelp
Cos(A) = 12/13

Hope this helps
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.