Question

If tan e = 1.3, what is the value of cot (90° - 9)?

1.3
a.
C.
3
d.
b. -1.3
-3
Please select the best answer from the choices provided
Ο Α
ОВ
С
D

Answer 1

A

Explanation:

We are given that:

`\tan(\theta)=1.3`

And we want to find:

`\cot(90^\circ -\theta)`

Remember that tangent and cotangent are co-functions. In other words, they follow the cofunction identities:

`\tan(\theta)=\cot(90^\circ-\theta)\text{ and } \cot(90^\circ-\theta)=\tan(\theta)`

Therefore, since tan(θ) = 1.3 and cot(90° - θ) = tan(θ), then cot(90° - θ) must also be 1.3.

Our answer is A.