Math 021
MATH - 0029
Quiz 1/100 points
Spring 2021
Due by Saturday, Fe
uary 6th @ 11:59pm.
Directions: Please do your own work. Do not solicit help from anywhere or anyone or from any
other source or classmates to help you with the Test. You could use you textbook, notes and any
other online sites to help you familiarize with the topics, but do not directly use these questions
to seek assistance. You may use a scientific calculator. Please show all work completely. Once
done, please send it to me via email ( XXXXXXXXXX) in PDF form with “Test 1Math
1022_your name” as the subject. Ensure that all problems are done in order and your Test is
legible.
Name: _________________________________
1) Find the trig function values rounded to four decimal places of the following. (5 points)
a) csc XXXXXXXXXX )−
) ( )2.4Cot
c) ( )0Sec 450
2) Given 3cos
7
θ = and θ is acute, find the other five trig function values of angle θ .
(3 points)
mailto: XXXXXXXXXX
3) Find Exactly. Show evidence of all work XXXXXXXXXXpoints)
a)
)
c)
d)
e) ( )315cos
f)
3
5sin π
4. Given a circle of radius 3 in, find the length of an arc intercepted on its
XXXXXXXXXXcircumference by a central angle measure of XXXXXXXXXXpoints)
5. Given 5sec , tan 0
2
andθ θ= < , use a right triangle and trigonometric ratios to
XXXXXXXXXXfind the values of the other five trigonometric functions of angle θ XXXXXXXXXXpoints)
6. Convert 121 to radians rounded to the nearest tenth XXXXXXXXXXpoints)
XXXXXXXXXXUse Pythagorean identities and a calculator to find the value of the indicated trigonometric
function and round your answer to three decimal places, given that 53.1tan −=θ , find
only θsin , if 0cos >θ (6 points)
8. A parasailer is attached to a boat with a rope 300 feet long. The angle of elevation from
the boat to the parasailer is 480. Estimate the parasailer’s height above the boat.
(6 points)
9. You measure the angle of elevation from the ground to the top of a building as 320. When
you move 50 meters closer to the building, the angle of elevation is 530. How high is the
uilding? (8 points)
10. Find the exact value of each of the following, unless the expression is
XXXXXXXXXXundefined ( any answers that are angles should be stated in radians, in terms of
π XXXXXXXXXXpoints)
XXXXXXXXXXa)
−
3
1arctan b)
−
5
9(coscos 1 π )
XXXXXXXXXXc) csc[tan ( )]− −1 2
3
XXXXXXXXXXd) arccos(cos )2
XXXXXXXXXXe XXXXXXXXXX1arccos − f) )4(sinsin
1
− π
g) ( )1sin 1 −− h) arccos
−
2
3
For problems XXXXXXXXXX, solve the triangle(s) with the understanding that a is opposite angle
A, side b is opposite angle B and c is opposite angle, C round angles to the nearest tenth of
a degree and sides to three significant digits XXXXXXXXXXpoints)
XXXXXXXXXX,6.45,3.118 === bCB
12. cmbcmaA 18,11,26 ===
13. mcmbma 0.12,6.24,2.21 ===
XXXXXXXXXX,0.15,0.86 === candbA
15. a) If
1cos , tan cot csc
3
and is in Quadrant III findθ θ θ θ θ= − XXXXXXXXXXpoints)
b) Express tan secin terms of for inQuadrant IIθ θ θ
Assignment 6:
Resources: Chapter 12: JavaFX: GUI Programming and Basic Controls
Use Net Beans or Eclipse and any Java Compiler to complete the following programs.
Submission: You need to add the screenshots for each question along with the source code.
Hint: Use the comments in the source code.
Complete both Questions 2 & 8.