Question

if3x=secA;3/x=tanA then x​

Answer 1

Answer:

x = ± ( 1/3 ) √{ ( 1 + 5√13 ) / 2 }

Step-by-step explanation:

Given-----> 3x = SecA , 3/x = tanA

To find-----> ATQ,

3x = SecA , 3/x = tanA

We know that,

Sec²Α - tan²A = 1

=> ( 3x )² - ( 3/x )² = 1

=> 9x² - ( 9 / x² ) = 1

=> ( 9x⁴ - 9 ) / x² = 1

=> 9x⁴ - 9 = x²

=> 9x⁴ - x² - 9 = 0

=> 9 ( x² )² - x² - 9 = 0

Comparing with ax² + bx + c = 0

a = 9 , b = -1 , c = -9

Now applying discriminant formula

Plzz see the attachment ,