3. Determine the amplitude, period, phase shift of y = -2cos (2x +), and the values of (x,y) for the five key points (do not graph).
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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1. Find the exact values of the six trigonometric functions if p(3,5) is a point
on the terminal side of B and B is in standard position.
2. If sin ß is positive and cos B = find the exact values of csc ß and tan B.
3. Determine the amplitude, period, phase shift of y =-2cos (2x +), and
the values of (x, y) for the five key points (do not graph).
4. Find the exact value of the following (you must show your work!):
cot (un")
-1
S. Show that
cos (sin-1 2x) + sin²(cos-1 2x) = (VZ- 2x)(vZ+ 2x)
6. Let
sint = c, cost = b, and tant = a.
Write the following expression in terms of a, b and c.
cor-)-5 sec (r-)-7sin(-r- 10z)
cos(-t + 61) - sin(t + 132m) +
a, b and c are non-zero real numbers.
7. Find the domain and use the cofunction identity for either tangent or
cotangent to solve the following trigonometric equation:
2/3
tan(x) + cot
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