Question

find the value of cot(1740)

Answer 1

Answer:

Remove full rotations of 360° until the angle is between 0° and 360°.

cot(300)

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cotangent is negative in the fourth quadrant.

−cot(60)

The exact value of cot(60) is 1/√3.

−1/√3

Multiply 1/√3 by √3/√3.

−(1/√3 × √3/√3)

Combine and simplify the denominator.

−√3/3

The result can be shown in multiple forms.

Exact Form: −√3/3

Decimal Form: -0.57735026…

Answer 2

Answer:

-1/√3

Step-by-step explanation:

We can write cot (1740) as cot (1800-60)...

and this value lies in the 4th Quadrant...

So we can write it as -cot60° which is equal to -1/√3...

Here u go!

Hope that helped!