
Using Radian or Degree Measure In Exercises 1-4, (a) sketch the angle in standard position, (b) determine the quadrant in which the angle lies, and (c) determine two coterminal
(a)

To graph: The angle,
Explanation of Solution
Graph:
Consider, the provided angle,
Now, in order to sketch the angle,
Since, the angle,
Therefore,
(b)

The quadrant in which, the angle,
Answer to Problem 1RE
The quadrant in which, the angle,
Explanation of Solution
Consider, the provided angle,
The co-ordinate system consists of four quadrants numbered as
Quadrant
Quadrant
Quadrant
Quadrant
Since, the angle
Therefore, the angle,
Hence, the quadrant in which, the angle,
(c)

The (one positive and one negative) co-terminal angle, for the angle,
Answer to Problem 1RE
The (one positive and one negative) co-terminal angle, for the angle,
Explanation of Solution
Co-terminal angle:
If two angles are made by the same initial and terminal side, then, such angles are called co-terminal angles. The positive and negative co-terminal angle of an angle can be obtained by subtracting or adding
Consider, the provided angle,
Now, in order to get the positive and negative co-terminal angles, add and subtract
For the positive angle,
And,
For the negative angle,
Hence, the (one positive and one negative) co-terminal angle, for the angle,
Want to see more full solutions like this?
Chapter 1 Solutions
EBK TRIGONOMETRY
- skip A swimming pool plan has concrete stairs leading down into the shallow end How much concrete will be needed to build the stairs? Bift 9 ft 2 ft 1 ft 9 ft 2 ft 5 ft [ ? ] ft³arrow_forwardFor the given right triangle, the longer leg is 8 units long and the shorter leg is 6 units long. sina=arrow_forwardWrite the equation of the trigonometric function shown in the graph. LO 5 4 3 2 1 y -5 -5 4 8 8 500 -1 -2 -3 -4 -5 x 5 15л 5л 25л 15л 35π 5л 4 8 2 8 4 8arrow_forward
- 2. If log2 (sin x) + log₂ (cos x) = -2 and log2 (sin x + cos x) = (-2 + log2 n), find n.arrow_forwardIf cscx- cotx = -4, find cscx + cotx.arrow_forwardQuestion 10 (5 points) (07.04 MC) Vectors u and v are shown in the graph. -12-11 -10 -9 -8 -7 -6 -5 What is proju? a -6.5i - 4.55j b -5.2i+2.6j с -4.7631 3.334j d -3.81i+1.905j < + 10 6 5 4 3 2 -3 -2 -10 1 -1 -2 -3 u -4 -5 -6 -7arrow_forward
- Find the lengths of PR and OR in terms of the angles α and β. Find the angles ∠ONQ and ∠NPQ. Find the lengths of ON and PN in terms of the angle β. Find the length of PQ. Find the length of QR. Find the length of OM. Find the length of RM. What formula can you write down by noting that PR = QR + PQ? What formula can you write down by noting that OR = OM - RM?arrow_forward5) Solve the triangle. 2 95° 4 B с A) c=3.63, A=59.5°, B = 25.5° C) c = 4.63, A = 59.5°, B = 25.5° A B) c 4.63, A 25.5°, B = 59.5° = = D) c 5.63, A = 25.5°, B = 59.5°arrow_forwardFind zw. Leave your answer in polar form. = လ 3π 2 z = 6 cos 6 cos 37 3π + i sin 2 57 W = 12 cos + i sin 6 6 ༠།ལྦ་arrow_forward
- 10 Write the expression (1 – i) i)in the standard form a + bi.arrow_forward11) The letters r and 0 represent polar coordinates. Write the equation r sine = 10 using rectangular coordinates (x, y). A) x = 10y B) y = 10 C) x = 10 D) y = 10xarrow_forward18) Find all the complex cube roots of - 8i. Leave your answers in polar form with the argument in degrees.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALElementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Trigonometry (MindTap Course List)TrigonometryISBN:9781305652224Author:Charles P. McKeague, Mark D. TurnerPublisher:Cengage Learning




