Question

Given that

cot(t) =
Using a Pythagorean Identity
1 csc(t) = -for << ₁ use an appropriate identity to find the value of cot(t).

Answer 1

An appropriate identity to find the value of cot(t) gives:

cot (t) =√(194/25)

How to use pythagorean Identity?

The Pythagorean identity is an identity expressing the Pythagorean theorem in terms of trigonometric functions. It is true for all real values of theta.

In this question, the Pythagorean identity we will use is:

1 + cot²(t) = csc²(t)

We are given that:

csc (t) = -13/5 for π < t < 3π/2.

Thus:

1 + (-13/5)² = csc²(t)

cot (t) = √(1 + (-13/5)²)

cot (t) =√(194/25)