Question

a) y varies directly with x. If y=-4 when x=2, find y when x=-6
b) y varies inversely with x. If y=40 when x=16, find x when y=-5.

Answer 1

Step-by-step 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

HATS OFF TO YOU

Answer 2

Answer:

Step-by-step explanation: