Question

In this triangle, the product of tan A and tan C is .

Answer 1

`(1)/(1)`

Explanation:

product of the Tan of A is

`(oppisite)/(adjacent)`

this is an 45,45,90 triangle so we we know the sides are going to be

1, 1,
`√(2)`

so the tan of A is =
`(1)/(1)` and the tan of c is

also
`(1)/(1)`

Answer 2

Angle A is 45 degrees.

Tan(45) = 1

Angle C is also 45, the tangent would also be 1.

Product is multiplication, so Tan A x Tan C = 1 x 1 = 1