Question

if sec theta + tan theta = x , then find the value of sec theta

Answer 1

Hey !!!

sec¢ + tan¢ = x ( given ) -----1)

As we know that

sec²¢ - tan²¢ = 1

We know also a² - b² = ( a + b ) ( a - b )

since ,
( sec¢ + tan¢ ) ( sec¢ - tan¢ ) = 1

x ( sec¢ - tan¢ ) = 1 ( from given )

( sec ¢ - tan¢ ) = 1 /x -----2)

Now adding both equation 1st and 2nd

we get

sec¢ - tan¢ + sec¢ + tan¢ = 1/x + x

2sec¢ = 1 + x²/x

sec¢ = x² + 1 /2x Answer ✔

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Hope it helps you !!!

@Rajukumar111

Answer 2

Here is your ans. Hope u like it