Question

Find the tangent of 135∘with a rational denominator.
a) 1
b)−1
c)−2
d)2

Answer 1

The tangent of 135∘ is 1.

Step-by-step explanation:

To find the tangent of 135∘ with a rational denominator, we need to find the value of the tangent function for that angle. The tangent function is defined as the ratio of the opposite side to the adjacent side in a right triangle. In the case of 135∘, we can use the reference angle of 45∘ to find the exact value of the tangent. The tangent of 45∘ is 1, so the tangent of 135∘ is also 1. Therefore, the answer is (a) 1.