1.

If sec 5a is equal to cosec 4A minus 18 find A

Answer» HI !

\sin(5a)  =  cosec(4a) \\  \\

We KNOW that,

\sin(90 -   \theta)  =  cosec \:  \: \theta

So,

cosec \: (90 - 5a) = cosec \: 4a \\  \\ 90 - 5a = 4a \\  \\ 90 = 4a + 5a \\  \\ 9a = 90 \\  \\ a =  \frac{90}{9}  \\  \\ a = 10


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