How do you find the exact value of csc[arctan(-5/12)]

latinoisraelm1 2022-08-12 Answered
How do you find the exact value of csc [ arctan ( 5 12 ) ]?
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Answers (1)

beentjie8e
Answered 2022-08-13 Author has 20 answers
Use definitions with respect to a right angled A B C
The hypotenuse of the right angled A B C, with sides a and c including right angle B as 5 and 12, is 13.
arctan ( 5 12 ) = arctan ( 5 12 ) = a r c csc ( 13 5 )
csc a r c csc ( k ) = k and csc ( θ ) = csc ( θ )
So, the answer is 13 5
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