Question

if sectheta + tan theta =pthen find cosec theta​

Answer 1

Hello mate,

Here is your solution,

See the attachment,

Hope it is helpful to you,

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Answer 2

Heya!!

( 1 + Sin x ) / Cos x = p

put Sin x = z

=>

( 1 + z ) = p × ( √ ( 1-z² ) )

Squaring Both sides.

=>

( 1 + z )² = p² × ( 1 - z² )

=>

1 + z² + 2z = p² - p²z²

=>

z² ( 1 + p² ) + 2z + 1 - p² = 0

=>

z = -2 + √ ( 4 -4 ( 1+p² ) ×( 1-p²) ) /2

=>

z = -2 + √ ( 1 - 1 + p⁴ ) /2

=>

z = -1 + √ ( p⁴ )

OR

z = -1 - p²

So,

Cosec x = 1 / ( - 1 - p² )

Or

Cosec x = 1 / ( -1 + p²)