Without using a calculator, give the exact trigonometric function value with rational denominator.
-$\tan 45 ^ { \circ }$
A) $\sqrt { 2 }$
B) $\frac { 1 } { 2 }$
C) 1
D) $\frac { 2 \sqrt { 3 } } { 3 }$

Question

Quizplus · Accepted Answer

The tangent of 45 degrees is equal to 1 because in a right-angled triangle with angles of 45, 45, and 90 degrees, the two legs are of equal length, making the ratio of opposite to adjacent side (which defines the tangent) equal to 1.

Without Using a Calculator, Give the Exact Trigonometric Function Value tan⁡45∘\tan 45 ^ { \circ }tan45∘

Without Using a Calculator, Give the Exact Trigonometric Function Value $\tan 45 ^ { \circ }$