Mathematics Homework Solutions

Trigonometric Equations : Solution and Area of Triangle

1. Find all the solutions of the equation 3sin20(degrees) = cos2x(degrees) in the range 0(degrees) is less then or equal to x(degrees) which is less than or equal to 180(degrees). 2. A triangle has sides A-C =3cm A-B = 5 cm B-C = 4 cm Find the area of ...continues

Systems of Equations Application Word Problem

Stephanie bought eighteen pens, some black and the rest blue, for $8.22. The blue pens cost $0.06 more than the black pens. The number of blue pens that she bought was as close as possible to the number of black pens that she bought. What was the price of the black pens?

Horizontal, Vertical Shift and Reflection Using a Trigonometric Function

Give an example of a horizontal shift, vertical shift and a reflection using trigonometric functions. Do not show this in a graph form, please have the answer written out. I'm looking for the theory not the graphic form.

Sine or Cosine Curve Versus a Tangent Curve

What are the differences in the steps of graphing a sine or cosine curve vs. a tangent curve? Please provide answer in written form not graphical form.

What is the total number of steps used by exactly two people?

Jerry, Kate, and kelsey climb a flight of 102 steps. Kelsey climbs 1 at a time, Jerry climbs 2 at a time, and Kate climbs 3 at a time. What is the total number of steps used by exactly two people?

Exponential & Logarithmic Models : Solve for X

Solve for x: log(3x + 7) + log(x - 2)=1 Please show all work and logic in getting the answer.

Exponential & Logarithmic Models : Continuously Compounding Interest

An initial deposit of $3000 is made in a savings account for which the interest is compounded continuously. The balance will double in seven years. What is the annual interest rate for this account? Please show all work and logic in getting the answer.

Analyse a trigonometric function and graph

Q1. The figure below shows the graph of a sine function -y is a function of x, with x measured in degrees. For this function state: a. Its PERIOD b. Its AMPLITUDE c. Its PHASE SHIFT from the sine function y = sin3xo d. The equation of the function Please see attached.

Given a graph of a trigonometric function find period, amplitude, phase shift and equation.

The figure below shows the graph of a sine function - y is a function of θ, with θ measured in degrees. For this function state: a. its Period b. its Amplitude c. its Phase Shift from the sine function y = sin2x d. the Equation of the Function Answer in degrees also please Please see attached.

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