Question

( 5 )/( x ) = sin(\theta;5 )( x ^ ( 2 ) - ( 1 )/( x ) )

Answer 1

Answer:

1/5

Step-by-step explanation:

We know that sec²∅-tan²∅=1

5(x²- 1/x²)

5x = sec x

Squaring on both sides

25x² = sec²x ...eq(1)

5/x = tanx

Squaring on both sides

25/x² = tan²x ...eq(2)

eq(1)-eq(2) = 1   ∵sec²x - tan²x = 1

∴25x² - 25/x² = 1

⇒5{5(x² - 1/x²)} = 1

⇒5(x² - 1/x²) = 1/5

∴Answer = 1/5