Sine, Cosine & area
What is the formula for height?
Adjacent side times sin angle
Which of the following is the general term of the sequence 0,3,8,15,...
a.) 2n - 1
b.) 3n + 1
c.) n² -1
d.) n³ + 1
c.) n² -1
What is the formula to get the roots?
p/q
if the graph is ax cubed what is the end root behavior?
fall left, rise right
When do you know if a absolute value has 2 solutions, 1 solution, or no solution?
2 solutions - right side is positive
1 solution - right side is 0
no solutions - right side is negative
What is the Triangle inequality theorem and Side-angle inequality theorem
The sum of the lengths of two sides of a triangle is greater than the length of the third side.
In any triangle, the longest side is opposite the largest angle, and the shortest side is opposite the smallest angle.
Find the sum of the first 10 terms and then write your answer is summation notation?
___,6,__, 16,___
Sn = 200
T10 = 38
∑
top = 10
bottom n = 1
middle 4n - 2 = 200
How to check using the remainder theorem and the factor theorem
Remainder = If a polynomia function f(x) is divided by a linear function (x-c) then the remainder is equal to f(c)
Faction - If a polynomial function is divded by (x-c) AND f(c) = 0 then (x-c) is a factor of f(x)
if the graph is -ax cubed what is the end root behaviour?
in absolute inequalities, what are the 2 types of graph and when do you use them
less then = conjunction
When do you use each formula?
Sine formula: AAS, ASA and SSA
a/sinA = b/sinB = c/sinC
sinA/a = sinB/b = SinC/c
SSA = adjacent side x sin angle
Cosine Formulas:
a squared = b squared + c squared minus 2 bc cos A = SAS
cosA = b squared + c squared - a squared / 2bc = SSS
If T1 = 28 and d = 10,
What is the 22nd term of the sequence?
Computer for S22?
Express it in summation notation.
T22 = 238
S22 = 2926
top = 22
Bottom = n = 1
Middle = 18 + 10n = 2926
Find the roots factored form, and y-intercept of
\(5x^3 - 32x^2 + 37x - 10\)
Factored form: (x-5)(x-1)(2x-5)
Roots : 2/5,1,5
y-intercept: -10
if the graph is ax to the power of 4 what is the end behaviour
W shaped
Give an example of set notation and interval notation of a disjunctioned graph
YH
A wall that is 1.4 m long has started to lean and now makes an angle of 80° with the ground. A 2 m board is jammed between the top of the wall and the ground to prop up the wall. What angle does the board make with the ground?
SSA triangle = opposite > adjacent = 1 Triangle
sinS/1.4 = sin80/2 sinS= 1.4(sin80)/2 S = sin -1 (1.4(sin80))/2
Angle S = 44 degreesAnna is offered a job with a small start-up company that wants to promote loyalty through incentives so employees will stay.
The company offers her a starting salary of ₱10,000/month with a guaranteed 10% raise per year.
What will her monthly salary be after she has been with the company for 8 years?
Pesos 19,487.17 will be her monthly salary after 8 years
find the remainder of x+ 1 in this equation : -3x^3 + 2x^2 - x + 9
15
if the graph is ax to the power of 4 what is the end behaviour
Give an example of set notation and interval notation of a conjunction graph
YH
A bicycle race follows a triangular course. The 3 legs of the race are, in order, 2.3 km, 5.9 km and 6.2 km. Find the angle between the starting leg and the finishing leg (to the nearest degree).
SSS Triangle Cosine Law
cos A / b squared + c squared = a squared / 2bc
Angle A = 72 degrees
Mrs. dela Cruz opened a savings account with an initial deposit of ₱1000. She plans to increase her deposit by 15% every month within a period of 8 months.
How much will her total savings be at the end of 8 months?
13,726.82
Who am I ? What Values are important to me?
A loner I like being alone
odd numbers = cross
even numbers = touch
Do you like math?
Christa