Find the Exact Value csc(35)

Problem

csc(35^∘)

Solution

1. Identify the expression as the cosecant of an angle measured in degrees.

2. Recall the reciprocal identity for the cosecant function, which states that csc(θ)=1/sin(θ)

3. Substitute the given angle into the identity to express the value in terms of the sine function.

4. Determine if 35^∘ is a standard reference angle (like 30^∘ 45^∘ or 60^∘. Since 35^∘ is not a standard angle, its exact value cannot be simplified further into basic radicals or integers without using complex trigonometric identities or power series.

Final Answer

csc(35^∘)=1/sin(35^∘)

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