Question

The point (-7, -24) is on the terminal ray of angle θ which is in standard position. A student found the six trigonometric values for angle θ. The student’s answers are shown. sin (theta) = StartFraction 24 Over 25 EndFraction. cosine (theta) = negative seven-twenty-fifths.
tangent (theta) = negative twenty-four-sevenths. cosecant (theta) = StartFraction 25 Over 24 EndFraction.

secant (theta) = negative StartFraction 25 Over 7 EndFraction.

cotangent (theta) = negative StartFraction 7 Over 24 EndFraction.

Which value(s) are incorrect?

sin(0)
cos(0)
tan(0)
csc(0)
sec(0)
cot(0)

Answer 1

Answer:

Sine(0) Tangent(0) Co-secant(0) Cotangent(0)

Step-by-step explanation:

Just took it

Answer 2

Answer:

The $\sin \theta, \tan \theta, \csc \theta, \cot \theta$ have the wrong values.

Step-by-step explanation:

The point (-7,-24) lies in the third quadrant, where the only tangent function will have a positive value and all the other trigonometric functions are negative.

The origin has a distance from the point is $\sqrt{(- 7)^{2} + (- 24)^{2}} = 25$.

If the point makes an angle $\theta$ with the negative x-axis, then

$\sin \theta = - \frac{24}{25}$

$\cos \theta = -\frac{7}{25}$

$\tan \theta = \frac{24}{7}$

$\sec \theta = - \frac{25}{7}$

$\csc \theta = - \frac{25}{24}$

$\cot \theta = \frac{7}{24}$

Therefore, the $\sin \theta, \tan \theta, \csc \theta, \cot \theta$ have the wrong values. (Answer)