7. Find the exact value of each real number y in radians. (a) y = sin-() (b) y = arccos(-) (e) y = sec(-2)
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.
#7
![1. Write the following expressions in terms of only sin(0) and cos(0). Simplify s
that no quotients are in the expression
7. Find the exact value of each real number y in radians.
cot(0)
(a) y = sin-'(Y2)
(a) sec²(0) – tan²(0)
(c)
sec(0)
(b) y = arccos(-)
(b) tan2(0)(1+cot² (0))
(c) y = sec-'(-2)
%3D
|
2. Use the trigonometric identities to find the values of the functions below give:
that cos(x) = and 0 is in quadrant IV
(a) sin(x)
(c) cot(-x)
(d) y = arccot(-1)
(b) tan(x)
8. Evaluate each expression without using a calculator.
(a) sin(arccos()
3. Find sin(x+y), cos(x-y) and tan(x+y) using the following values
(a) sin(x) = -, cos(x) = - and x and y in quadrant 3
(b) cos(arctan(3))
25
(c) arcsec(sec(7))
(b) sin(y) = -, cos(x) = - with x in quadrant 2 and y in quadrant 3
%3D
4. Find the values of sine and cosine given the following angles.
(a) cos(20) = - and 0 in quadrant 1
9. Solve each equation for exact solutions between 0 and 27
(a) sin²(x) = 1
(b) cos(2B) = and 540° < 2B < 720°
5. Use half angle identities to find each of the following:
(b) 2 tan(x)-1=0
(a) Find cos(;) if cos(0) =
- with 0 in quadrant 2
(b) Find sin() if cos(A)
- with 90° < A< 180°
10. Solve each equation for exact solutions between 0 and 360 degrees
6. Match each of the following trigonometric expressions with an expression below:
(a) sin2(0) + 3sin(0) + 2 = 0
(a) sin?x – sin?y =
Matching Bank:
sec?x
2 – 2cos (x)
|
sin(2x)
(Ь)
sin(x)
cos²(y) – cos?(æ)
(b) 2tan2(0) = tan(0) +1
2
sec(r)
(c) tan(x)sin(2x) =
(d)
2tan(x)
sin(2x)
(c) sin(0) – cos(20) = 0
-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe039109-c34f-4cd0-bf42-d01afa8fe716%2F138667aa-2ff9-4ba0-a9c7-8ae2c561bf31%2Faiclx3e_processed.jpeg&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Trending now
This is a popular solution!
Step by step
Solved in 6 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![Trigonometry (11th Edition)](https://www.bartleby.com/isbn_cover_images/9780134217437/9780134217437_smallCoverImage.gif)
![Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652224/9781305652224_smallCoverImage.gif)
![Algebra and Trigonometry](https://www.bartleby.com/isbn_cover_images/9781938168376/9781938168376_smallCoverImage.gif)
![Trigonometry (11th Edition)](https://www.bartleby.com/isbn_cover_images/9780134217437/9780134217437_smallCoverImage.gif)
![Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652224/9781305652224_smallCoverImage.gif)
![Algebra and Trigonometry](https://www.bartleby.com/isbn_cover_images/9781938168376/9781938168376_smallCoverImage.gif)
![Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337278461/9781337278461_smallCoverImage.gif)