Question

If secA = 2x and tanA = 2/x .find the value of 4(x2 - 1/x2)​

Answer 1

Answer:

4(x²-1/x²) = 1

Step-by-step explanation:

secA = 2x

sec²A= 4x²

tanA=2/x

tan²A=4/x²

4(x²-1/x²)

4x²-4/x²

sec²A-tan²A

4(x²-1/x²) = 1

Answer 2

Formula:-

$\underline\green{\boxed{\bf sec²θ−tan²θ=1}}$

Substitute the given values in terms of x.

$\implies\sf (2x)^{2} -\bigg(\dfrac{2}{x}\bigg)^{2} = 1 \\\\\implies4x^{2} -\dfrac{4}{x^{2} }=1 \\\\\implies4\bigg(x^{2} -\dfrac{1}{x^{2} } \bigg) = 1$

Hope it helps