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# MAT-172 Mixbook

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### MAT-172 Mixbook - Page Text Content

BC: Let's Do Good Work!

FC: Math 172 Review

1: 1. Replace f(x) with y 2. Interchange x and y 3. Solve for y 4. Replace y with f^-1 (x) | Finding the Inverse

2: For any a>0, a does not = 1 a^x=a^y <--> x=y | Base-Exponent Property

3: Population Growth | P(t)=Poe^kt, k>0

4: Reciprocal Functions | The trigonometric function values of theta depend only on the measure of the angle, not the size of the triangle. | csc theta = 1/sin theta sec theta = 1/cos theta cot theta = 1/tan theta

5: Cofunction Identities | sin theta=cos(90 deg.-theta), cos theta=sin(90 deg.-theta), tan theta=cot(90 deg.-theta), cot theta=tan(90 deg.-theta), sec theta=csc(90 deg.-theta), csc theta=sec(90 deg.-theta)

6: The Law of Sines | a/sinA = b/sinB = c/sinC

7: Area of a Triangle | K=1/2bc sinA=1/2ab sinC=1/2ac sinB

8: The Law of Cosines | a^2=b^2+c^2-2bc cosA b^2=a^2+c^2-2ac cosB c^2=a^2+b^2-2ab cosC

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• By: Katherine A.
• Joined: about 7 years ago
• Published Mixbooks: 1
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