math 172 final Question and answers correctly solved 2024/2025

math 172 final
Cartesian plane - correct answer ✔Q1,2,3,4


Quadrant 1 A - correct answer ✔sin, cos,tan are positive


Quadrant 2 S - correct answer ✔sin is positive. Cos and tan negative


Quadrant 3 T - correct answer ✔tan is positive. cos and sin negative


Quadrant 4 C - correct answer ✔cos is positive. sin and tan negative


Soh Cah Toa - correct answer ✔Sin= opp/hyp (csc)
Cos= adj/hyp (sec)
Tan= opp/adj (cot)


30 - correct answer ✔sin= 1/2. cos= radical 3/2 tan= 1/radical 3


45 - correct answer ✔sin and cos = radical 2/2 tan 1


60 - correct answer ✔sin= radical 3/2 cos= 1/2 tan= radical 3


unit circle - correct answer ✔sin= y
cos= x
tan= y/x
360= 2pie

, basic graph of sin - correct answer ✔0,a,0,-a,0


basic graph of cos - correct answer ✔a,0,-a,0,a y=cos(x)


y= asin(bx+c) or y= acos(bx+c) - correct answer ✔1.amplitude /a/
2. period: 2pie/b
3. displacement: -c/b
4. 1/4 of period: you add 1/4 to the period answer
5. points: 1) x=0
2)0+ step4 answer
3) 2answer with step4 answer
keep going until 5 points


Law of Sines - correct answer ✔ASA/SSA(two side and angle opp from
them)
if


Law of Cosine - correct answer ✔SSS/ SAS(two sides and include an angle)
a^2= b^2+c^2-2bc*cos(A) same for b and c just switch the letters accordingly


price*quantity - correct answer ✔list price and quantity
(starting with # either - or + #x)
like (100-10x) (30+15x)
multiply those to get equation
then axis of sym -b/2a