Explain how the tangents of complementary angles are related.

Complementary angles are a pair of angles that add together to make 90°. Therefore we can take a triangle, with angles that sum to 180°, and say one angle is a right angle, lets call that A.

That leaves us with 2 angles that sum to 90°, in other words a pair of complementary angles. Lets call those angles B and C.

The tangent of B is opposite over adjacent so  tanB=AC/AB .  tanC=AB/AC . These are inverses of each other, therefore the tangents of complementary angles are inverses of each other.

Complementary angles are a pair of angles that add together to make 90°. Therefore we can take a triangle, with angles that sum to 180°, and say one angle is a right angle, lets call that A.

That leaves us with 2 angles that sum to 90°, in other words a pair of complementary angles. Lets call those angles B and C.

The tangent of B is opposite over adjacent so  tanB=AC/AB .  tanC=AB/AC . These are inverses of each other, therefore the tangents of complementary angles are inverses of each other.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

this answer is !