Problemas
Find the exact values of sinalpha ,cosalpha ,tanalpha ,cscalpha ,secalpha and cotalpha where a is an angle in standard position whose terminal side contains the point (-8,-8) Find sinalpha Select the correct choice below and, if necessary.fill in the answer box to; complete your choice. A. sinalpha =square (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression ) B. sinalpha is undefined.
Roztwór
Daniel
maestro · Tutor durante 5 años
4.3
(221 Votos)
Respuesta
To find the exact values of the trigonometric functions, we first need to determine the angle
whose terminal side contains the point
. We can do this by finding the reference angle and then using the appropriate quadrant.Step 1: Find the reference angle.The reference angle is the acute angle formed between the terminal side of the angle and the x-axis. Since the point
is in the third quadrant, we can use the Pythagorean theorem to find the reference angle.Let
and
. Then,
.The reference angle is
.Step 2: Determine the angle
.Since the point
is in the third quadrant, the angle
is
.Step 3: Find the trigonometric functions.Using the angle
, we can find the trigonometric functions as follows:
Therefore, the correct choice is A.
.