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=

Respuesta :

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]

Answer Link

Otras preguntas

What was education like for Native Americans?
factorise the following: 1)   -10x² + 31x +142)   -24x² + 35x -4
Which word is the past form of a regular verb? A. came B. wrote C. built D. spilled
what is the reciprocal of the number 2
How important do you think the development of advanced mathematics was in the creation of the Maya calendar?
Why is chief becoming more important than a hunter in lord of the flies? (ch7)
Why were some Serbians and Bosnians angry with Austria-Hungary in 1914?
Why is chief becoming more important than a hunter in lord of the flies? (ch7)
the running back for the Bulldogs football team carried the ball 9 times for a total loss of 15 3/4 yards. Find the average change in field position on each run
How did the Congress of Vienna ensure peace in Europe?