andrewdoyal18 andrewdoyal18
  • 23-06-2020
  • Mathematics
contestada

Find the values of the six trigonometric functions for angle θ, when AC = 26 and BC = 24.

Find the values of the six trigonometric functions for angle θ when AC 26 and BC 24 class=

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osikbro
osikbro osikbro
  • 23-06-2020

Answer:

See below

Step-by-step explanation:

The first step is to find the length of AB. By the Pythagorean Theorem:

[tex]AB=\sqrt{26^2-24^2}=\sqrt{676-576}=\sqrt{100}=10[/tex]

Now, you can proceed:

[tex]\sin \theta= \dfrac{24}{26}=\dfrac{12}{13} \\\\\\\cos \theta= \dfrac{10}{26}=\dfrac{5}{13} \\\\\\\tan \theta= \dfrac{24}{10}=\dfrac{12}{5} \\\\\\\csc \theta= \dfrac{13}{12} \\\\\\\sec \theta=\dfrac{13}{5} \\\\\\\cot \theta=\dfrac{5}{12}[/tex]

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