Question

find the value of cot 510°​

Answer 1

Answer:

1/2 is the answer.

Step-by-step explanation:

Hope it helps!

Answer 2

Answer:

1.73205080.

Step-by-step explanation:

In This problem, we have to find the exact value of cot510∘

. We can first remove the full rotation of 360∘

until the angle is between 0∘

and 360∘

. We can then apply the reference angle by finding the angle with equivalent trigonometric values in the first quadrant. We can write it as negative, as cotangent is negative in the second quadrant. We can then find the value of the given cotangent.

We know that the given cotangent is,

cot510∘

We can now first remove the full rotation of 360∘

until the angle is between 0∘

and 360∘

.

We can now subtract the given degree from 360∘

, we get

⇒cot(510∘−360∘)=cot150∘

We can then apply the reference angle by finding the angle with equivalent trigonometric values in the first quadrant.

Here the reference angle for 150∘

will be 30∘

.

We can write it as,

⇒cot30∘

Which will be equal to,

⇒cot30∘=3–√

We can write it as negative, as cotangent is negative in the second quadrant.

⇒−3–√

Therefore, the exact value of cot510∘

is −3–√

.

We should always remember that we should write the result in negative as the cotangent is negative in the second quadrant.

We should know some trigonometric degree values to solve these types of problems.

We can also write the exact value for the result in the decimal form, if needed

Therefore, the exact value of cot510∘

is -1.73205080.