Question

if x cos theta is equal to 1 and tan theta is equal to y , find the value of x square minus y square

Answer 1

Got ur answer hope it helps

Answer 2

The value of x²-y² = 1.

• Given :

x cosθ = 1 and tanθ = y

x = 1/cosθ

x = secθ     (Equation 1)

AND

tanθ = y

• Now we have to find the value of x²-y²,

• Substituting the value of x and y from the result obtained,

x²-y² = (secθ)² - (tanθ)²

= sec²θ - tan²θ

• We know the identity sec²θ - tan²θ =1

∴ x²-y² = 1