Question

sec theta plus tan theta divided by sec theta minus tan theta is equal to sec theta plus tan theta whole square​

Answer 1

Answer:

Prove that : Sec theta + tan theta

________________ = (sec theta + tan theta)²

sec theta - tan theta

L.H.S = sec theta + tan theta

_________________

sec theta - tan theta

= ( sec theta + tan theta ) ( sec theta + tan theta )

______________________________________

( sec theta - tan theta ) ( sec theta + tan theta )

= ( sec theta + tan theta ) ²

_____________________.......[ since ,

sec ² theta - tan ² theta. ( a+b) (a-b) =a²-b²]

= ( sec theta + tan theta ) ²

___________________.....( since , sec²A - tan²A =1)

1

= ( sec theta + tan theta )²

= R.H.S

Therefore,

L.H.S = R.H.S

Hence, proved