Question

If x cos A = 1 and tan A =y, then x2-y2 is equal to :
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Answer 1

Answer:

x = 1/cosA = sec A

y = tanA

x2 - y2 = (sec A) ^2 - (tanA)^2

= 1

hope it helps you

Answer 2

The expression is $x^2-y^2=1$.

Step-by-step explanation:

Given : If $x\cos A=1$ and $\tan A=y$

To find : The expression $x^2-y^2$ ?

Solution :

Taking x and y values,

$x\cos A=1$

$x=\frac{1}{\cos A}$

$x=\sec A$

and $y=\tan A$

Substitute in the expression,

$x^2-y^2=(\sec A)^2-(\tan A)^2$

$x^2-y^2=\sec^2 A-\tan^2 A$

Using trigonometric identity, $\sec^2 A-\tan^2 A=1$

So, $x^2-y^2=1$

#Learn more

If x=tanA+sinA and Y =TanA-sinA then prove that (x+y/x-y )^2-(x+y/2)^2=1

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