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MATH 10C FORMULA SHEET

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Trigonometric Ratios<br />

sin A =<br />

opposite<br />

hypotenuse<br />

cos A =<br />

adjacent<br />

hypotenuse<br />

tan A =<br />

opposite<br />

adjacent<br />

Exponent Laws<br />

Exponent Law<br />

m n m n<br />

Product of Powers x × x = x +<br />

Quotient of Powers<br />

x m n<br />

n<br />

= x<br />

−<br />

x<br />

Power of a Power x ) = x ×<br />

Power of a Product xy)<br />

Power of a Quotient<br />

m<br />

( m n m n<br />

(<br />

m<br />

= xm ym<br />

m<br />

⎛ x ⎞ xm<br />

=<br />

⎜ y ⎟ ym<br />

⎝ ⎠<br />

Zero Exponent x<br />

0<br />

= 1<br />

Negative Exponent m 1<br />

x− =<br />

xm<br />

Fractional Exponent<br />

m<br />

n<br />

x n = xm or<br />

n<br />

x<br />

Rule<br />

( )<br />

m<br />

Linear Functions<br />

y = mx + b<br />

+ By + C = 0<br />

Ax y − y1 = m x − x1<br />

( ) ( )<br />

rise<br />

slope =<br />

run<br />

y − y<br />

m = x − x<br />

2 1<br />

2 1<br />

differencein y ' s ∆y<br />

slope = =<br />

differencein x ' s ∆ x

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