Rewrite tan 88 deg in terms of its cofunction
How does that end up????
To rewrite tan 88 degrees in terms of its cofunction, we need to use the relationship between tangent and cotangent.
The cofunction of an angle is the trigonometric function of its complement. The complement of an angle is the difference between that angle and 90 degrees.
The tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle in a right-angled triangle.
Since we are given the angle 88 degrees, its complement would be 90 - 88 = 2 degrees.
Now, since tan 88 degrees is the ratio of the opposite side to the adjacent side in a right triangle, and its complement is 2 degrees, we can say that tan 88 degrees is equal to cot 2 degrees.
Therefore, tan 88 degrees can be written in terms of its cofunction as cot 2 degrees.
Notice there are only 3 trig names
all have matching co-function
sine --- cosine
secan ---cosecant
tangent -- cotangent , so that
sinØ = cos(90°- Ø)
secØ = csc(90° - Ø)
tanØ = cot(90° - Ø)
so tan 88° = cot 2°