MATH 10C FORMULA SHEET
MATH 10C FORMULA SHEET
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