Simplify csc(270)

Problem

csc(270^∘)

Solution

1. Identify the definition of the cosecant function in terms of the sine function.

csc(θ)=1/sin(θ)

2. Substitute the given angle into the identity.

csc(270^∘)=1/sin(270^∘)

3. Evaluate the sine of 270^∘ using the unit circle, where the coordinates at 270^∘ are (0,−1)

sin(270^∘)=−1

4. Simplify the fraction by dividing the numerator by the denominator.

1/(−1)=−1

Final Answer

csc(270^∘)=−1

Want more problems? Check here!