Find the Exact Value csc(1.3)

Problem

csc(1.3)

Solution

1. Identify the trigonometric relationship for the cosecant function, which is the reciprocal of the sine function.

csc(1.3)=1/sin(1.3)

2. Recognize that the input 1.3 is in radians, as there is no degree symbol provided.

3. Evaluate the sine of 1.3 radians using a calculator or trigonometric tables for an exact numerical representation.

sin(1.3)≈0.9635581854

4. Calculate the reciprocal of the sine value to find the cosecant.

1/0.9635581854≈1.03782003

Final Answer

csc(1.3)≈1.03782003

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