Question

sec (x -20) = cosec (x -20) ..find the value of x​

Answer 1

Step-by-step explanation:

Given,

sec x + cosec x = p

= > \sec(x) = p - \cosec(x) \\ = > \sec(x) - \cosec(x) = p - \csc(x) - \csc(x) \\ = p - 2 \cosec(x).

[csc means cosec only].

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Answer 2

we know that sec theta = cosec( 90 - theta )

sec( x - 20 ) = cosec ( x - 20 )

cosec( 90 - ( x - 20 ) = cosec ( x - 20 )

cosec ( 90 - x + 20 ) = cosec ( x - 20 )

- x + 20 = x - 20

2x = 40

x = 20

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