QuestionFind .
Studdy Solution
STEP 1
Assumptions1. The function is the inverse cosecant function, which gives an angle whose cosecant is .
. The function is the tangent function, which gives the ratio of the sine to the cosine of an angle.
3. We are asked to find the value of the tangent of the angle given by the inverse cosecant of .
STEP 2
We know that , so if , then .
STEP 3
We also know that , so we need to find an expression for in terms of .
STEP 4
We can use the Pythagorean identity to find .
STEP 5
Substitute into the Pythagorean identity.
STEP 6
olve for .
STEP 7
Substitute and into the formula for .
STEP 8
implify the expression to get the final answer.
So, .
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