Use the value of the trigonometric function to find $\cos ( \pi - t )$ . $\cos t = \frac { 5 } { 6 }$
A) $\cos ( \pi - t ) = \frac { 5 } { 6 }$
B) $\cos ( \pi - t ) = - \frac { 5 } { 6 }$
C) $\cos ( \pi - t ) = \frac { 6 } { 5 }$
D) $\cos ( \pi - t ) = \infty$
E) $\cos ( \pi - t ) = - \frac { 6 } { 5 }$

Question

Use the value of the trigonometric function to find $\cos ( \pi - t )$ .   $\cos t = \frac { 5 } { 6 }$  
A) $\cos ( \pi - t ) = \frac { 5 } { 6 }$
B) $\cos ( \pi - t ) = - \frac { 5 } { 6 }$
C) $\cos ( \pi - t ) = \frac { 6 } { 5 }$
D) $\cos ( \pi - t ) = \infty$
E) $\cos ( \pi - t ) = - \frac { 6 } { 5 }$

Quizplus · Accepted Answer

The cosine of the angle $\pi - t$ is equal to the negative cosine of the angle $t$ because cosine is an even function and $\pi$ represents 180 degrees, indicating a shift to the opposite quadrant where the cosine value changes sign but not magnitude. Therefore, $\cos(\pi - t) = -\cos(t) = -\frac{5}{6}$.

Use the Value of the Trigonometric Function to Find cos⁡(π−t)\cos ( \pi - t )cos(π−t)

Use the Value of the Trigonometric Function to Find $\cos ( \pi - t )$