If $secA space equals space 15 over 7 space and space straight A plus straight B space equals space 90 degree comma space$ find the value of cosec B.

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Solution

We have,
A + B = 90°

rightwards double arrow space space straight A space equals space 90 degree minus straight B

...(i)
Now,

secA space equals space 15 over 7

rightwards double arrow space space space sec left parenthesis 90 degree minus straight B right parenthesis space equals space 15 over 17 space space space space space space space space left square bracket using space left parenthesis straight i right parenthesis right square bracket rightwards double arrow space space space space space space space space space space space space cosecB space equals space 15 over 7 Ans. space

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