Use the given triangles to evaluate the expression. Rationalize all denominators.
-$\tan \frac { \pi } { 4 }$
A) 1
B) $\frac { \sqrt { 3 } } { 2 }$
C) $\frac { \sqrt { 2 } } { 2 }$
D) $\sqrt { 2 }$

Question

Use the given triangles to evaluate the expression. Rationalize all denominators. 
-$\tan \frac { \pi } { 4 }$
A) 1 
B) $\frac { \sqrt { 3 } } { 2 }$ 
C) $\frac { \sqrt { 2 } } { 2 }$ 
D) $\sqrt { 2 }$

Quizplus · Accepted Answer

The tangent of $\frac{\pi}{4}$ or 45 degrees is 1, because in a right triangle with angles of 45 degrees, the opposite and adjacent sides are equal, making the ratio of opposite to adjacent (which is the definition of tangent) equal to 1.

Use the Given Triangles to Evaluate the Expression tan⁡π4\tan \frac { \pi } { 4 }tan4π​

Use the Given Triangles to Evaluate the Expression $\tan \frac { \pi } { 4 }$