Question

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Answer 1

Explanation:

Sin A = x/y

Since the hypotenuse is y

By Pythagoras theorem,

y²-x² = the length of the third side

Then cos A = Adjacent side/ hypotenuse

So , cos A = √y²-x²/y

Then, tan A = opp/ adjacent i.e, x/√y²-x²

Therefore, cos A × tan A = √y²-x²/y × x/√y²-x²

And we get x/y

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