Questions on Algebra: Trigonometry answered by real tutors!

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Question 57555: 1. Find the complement of a 51 ° 49' angle.
a. 38 ° 11'
b. 128 ° 11'
c. 38 ° 51'
d. 128 ° 51'

2. Find the supplement of the radian measure 7 π /8. Express your answer in terms of π .
a. 13 π /8
b. π /8
c. 9 π /8
d. 5 π /8

3. Classify 725 ° by quadrant, and state the positive angle with measure less than 360 ° that is coterminal with it.
a. Quadrant II, 95 °
b. Quadrant I, 5 °
c. Quadrant IV, 275 °
d. Quadrant III, 185 °

4. Convert 105 ° to exact radian measure.
a. 6 π /7
b. 12 π /7
c. 7 π /6
d. 7 π /12

5. Convert the radian measure 7 π /5 to exact degree measure.
a. 128.5 °
b. 252 °
c. 504 °
d. 126 °

6. Convert the radian measure 1.6 to degree measure to the nearest hundredth of a degree.
a. 91.67 °
b. 288 °
c. 183.35 °
d. 97.40 °

7. Find the measure in radians of the central angle of a circle with radius 4 inches and arc length 8 inches.
a. 32
b. 0.5
c. 2
d. 2 π

Click here to see answer by rcmcc(152) About Me 
Question 57555: 1. Find the complement of a 51 ° 49' angle.
a. 38 ° 11'
b. 128 ° 11'
c. 38 ° 51'
d. 128 ° 51'

2. Find the supplement of the radian measure 7 π /8. Express your answer in terms of π .
a. 13 π /8
b. π /8
c. 9 π /8
d. 5 π /8

3. Classify 725 ° by quadrant, and state the positive angle with measure less than 360 ° that is coterminal with it.
a. Quadrant II, 95 °
b. Quadrant I, 5 °
c. Quadrant IV, 275 °
d. Quadrant III, 185 °

4. Convert 105 ° to exact radian measure.
a. 6 π /7
b. 12 π /7
c. 7 π /6
d. 7 π /12

5. Convert the radian measure 7 π /5 to exact degree measure.
a. 128.5 °
b. 252 °
c. 504 °
d. 126 °

6. Convert the radian measure 1.6 to degree measure to the nearest hundredth of a degree.
a. 91.67 °
b. 288 °
c. 183.35 °
d. 97.40 °

7. Find the measure in radians of the central angle of a circle with radius 4 inches and arc length 8 inches.
a. 32
b. 0.5
c. 2
d. 2 π

Click here to see answer by funmath(2925) About Me 

Question 58263: solce thequation ln(x+5)-ln(3)=ln(x-3)
Click here to see answer by jaya_rohith1@yahoo.com(33) About Me 

Question 58664: Hello,
I would like to thank you all for your time, this is the last question I am having problems with.
Given cos(theta)=-0.4567 find the value(s) of theta, correct to the nearest degree, for 0 best regards,
Len

Click here to see answer by stanbon(57361) About Me 

Question 59174: if you would be so kind-
I had a question given to me by my teacher. the case is sin(x)=5/12. i was asked to figure out what x equals. i know that you can type into your calculator sin negative 1 (inverse of sin) times 5/12. but my problem is how do you get from sin(x)=5/12 to sin negative one times 5/12.i would appreciate if you can show me your work step by step
thanks, nathan

Click here to see answer by stanbon(57361) About Me 

Question 59557:
Convert -60° to radians. express the answer as a multiple of p

Click here to see answer by Edwin McCravy(8909) About Me 

Question 59555: classify the angle 101degree as acute, right, obtuse, or straight..
Click here to see answer by kos(2) About Me 

Question 59556:
Draw the following angle in standard position:
7p/4

Click here to see answer by Edwin McCravy(8909) About Me 

Question 59554: Find the value of (sin 38°)(csc 38°)
Click here to see answer by Edwin McCravy(8909) About Me 

Question 59553: find the length of the arc on a circle of radius r=5 yard intercepted by a central angle 0=70degree..................the zero at the end has a line through it, and the 70 has a degree circle but i dont know how to make those with my keyboard..
Click here to see answer by kos(2) About Me 
Question 59553: find the length of the arc on a circle of radius r=5 yard intercepted by a central angle 0=70degree..................the zero at the end has a line through it, and the 70 has a degree circle but i dont know how to make those with my keyboard..
Click here to see answer by Edwin McCravy(8909) About Me 

Question 59552: The engine of a sports car rotates at 5,000 revolutions per minute (rpm). Calculate the angular speed of the engine in radians per second. Use 2pie=1revolution
Click here to see answer by stanbon(57361) About Me 

Question 59651: convert the following angle to degrees: pi/5
Click here to see answer by stanbon(57361) About Me 

Question 59650: in which quadarand will the angle 100degrees lie in the standard position?
Click here to see answer by stanbon(57361) About Me 

Question 59648: in which quadrant will the angle -305degrees lie in the standard position?
Click here to see answer by stanbon(57361) About Me 

Question 59647: use an identity to find the value of sin^2 50degrees+cos^2 50degrees
Click here to see answer by stanbon(57361) About Me 

Question 59646: can someone please help me with this question:
find the radian measure of the central angle of a circle of radius r=4inches that intercepts an arc of length s=20inches

Click here to see answer by praseena(37) About Me 

Question 59618: what is the angle of elevation of the sun when a 35-ft mast casts a 20-ft shadow
Click here to see answer by funmath(2925) About Me 

Question 59619: two distinct, nonparallel lines are tangent to a circle. the measurement of the angle between the two lines is 54 (angle QVP)
a. Suppose the diameter of the circle is 2 cm. What is the distance VP?
b. Suppose the distance VP is 3.93cm. What is the diameter of the circle?
c. Find a formula for d, the diameter of the circle, in terms of VP.
d. Find a formula for VP in terms of d, the diameter of the circle.

Click here to see answer by venugopalramana(3286) About Me 

Question 60546: Please help me solve this problem:
find a value of the angle 0 (theta) in the interval (0degrees, 360) that satisfies this statement: tan 0(theta) =1.4739716 ?

Click here to see answer by funmath(2925) About Me 

Question 60591: find the value of sin (-120 degrees)
Click here to see answer by jai_kos(139) About Me 

Question 60594: using the unit circle, find the value of the trigonometric function:
tan pi over 6

Click here to see answer by funmath(2925) About Me 

Question 60592: use the reference angles to find the exact value of the expression:
csc 4pi over 3

Click here to see answer by funmath(2925) About Me 

Question 60844: what is the range of the sine function?
Click here to see answer by chitra(359) About Me 

Question 60840: find the value of:
sin (-pi over 6)

Click here to see answer by chitra(359) About Me 

Question 60843: find the reference angle for the following angle:
-386degrees

Click here to see answer by jai_kos(139) About Me 

Question 60852: To whom may it concern,

I have difficulty to do this question.
An isosceles triangle has a vertical angle of 108° and a base 20 cm long. Calculate its altitude.
Please help and thank you.
CH Lam

Click here to see answer by jai_kos(139) About Me 

Question 60841: what is the domain of the sine function?
Click here to see answer by chitra(359) About Me 

Question 60845: using the periodic properties of trigonometric functions, find the exact value of the expression:
tan 17pi

Click here to see answer by consc198(59) About Me 

Question 60855: To whom may it concern,
I have trouble to do this question.
From a point at the same level as the foot of a building 50 metres high, the angle of elevation of its top is found to be 52.83°. Find the distance of the point of observation from the top of the building.
Please help and thank you.
CH Lam
CH Lam

Click here to see answer by venugopalramana(3286) About Me 

Question 60842: use the reference angles to find the exact value of the expression:
tan -7pi/4

Click here to see answer by venugopalramana(3286) About Me 

Question 60839: find the reference angle for the following angle:
69degrees

Click here to see answer by jai_kos(139) About Me 

Question 60853: To whom may it concern,
I have problems to do this question.
An aerial mast is supported by four wires attached to points on the ground each 57 metres away from the foot of the mast. If each wire makes an angle of 32° with the horizontal, find the height of the mast.
Thank you very much.
CH Lam

Click here to see answer by Earlsdon(6287) About Me 

Question 60854: To whom may it concern,
I have trouble to do this question.
To find the width of a river, a boy places a wooden peg at a point A on one side directly opposite an object B on the opposite bank. From A, he walks 50 m along the bank to a point C. He observes that the angle of ACB = 34°. Calculate the width of the river.
Please help and thank you.
CH Lam

Click here to see answer by Earlsdon(6287) About Me 

Question 61002: Hi,
I am trying to help my daughter with her math homework and we are both feeling overwhelmed. There are some concepts that her teacher hasn't covered yet in class...I am trying to help her without her textbook being at home.
My question is:
Find the numerical value of the expression sin 30degrees + cos 60degrees.
The answer choices are:
1. 1
2. 1/4
3. square root of 3
4. square root of 3 + 1/2
I am not trying to cheat, but just am trying to help her get the answer and learn how to do this...
Thanks! The answers that we were coming up with were .5 or 180! so not sure what to do!

Click here to see answer by funmath(2925) About Me 

Question 61066: What is the advantage of helping students with their homework? What's in it for you guys? Are you simply pure philanthopic beings with the sole desire to help humanity, or is there a catch? I know I am being cynical, but there is no such thing as a free lunch.
Click here to see answer by checkley71(8403) About Me 
Question 61066: What is the advantage of helping students with their homework? What's in it for you guys? Are you simply pure philanthopic beings with the sole desire to help humanity, or is there a catch? I know I am being cynical, but there is no such thing as a free lunch.
Click here to see answer by funmath(2925) About Me 

Question 61091: To whom may it concern,
I have problem to solve this question below.
A ladder 6.54 metres long leans against a wall, touching a window sill, and makes an angle of 62° with the ground. Find the height of the window sill above the ground. How far is the foot of the ladder from the foot of the wall ?
Please help and thanks in advanced.
CH Lam

Click here to see answer by funmath(2925) About Me 

Question 61090: To Whom May It Concern,
I have the question but I am not very able to do it.
A church spire 82 metres high casts a shadow 62 metres long. Find the angle of elevation of the sun at that moment.
Please help. Thanks a lot.
CH Lam

Click here to see answer by funmath(2925) About Me 

Question 61331: I am a grade 10 students and i like trigonometry but i found this quiet tough.Plz can u solve it for me..
prove that (sec4a-1)/(sec8a-1)=tan4a/tan2a

Click here to see answer by venugopalramana(3286) About Me 

Question 61647: 1+cosx/sinx + sinx/1+cosx=4
csc=sinxtanx + cosx

Click here to see answer by stanbon(57361) About Me 

Question 61462: QUICK!
Could someone help me with this question.

Solve for the roots of 4sinX%5E2-3=0 in an algebaic manner.
Best regards in advance...

Click here to see answer by joyofmath(189) About Me 

Question 62018: a bacteria culture started with a count of 480 at 8am and after t hrs is expected to grow to f(t)=480(3/2)t. estimate the number of bacteria in the culture at noon the same day
Click here to see answer by stanbon(57361) About Me 

Question 62060: I am a grade 10 student and we have read abt multiple and sub multiple angles..
I have problem with this questions..I hope that my question will be answered
prove that:
sin6.sin42.sin66.sin78=(1/16)

Click here to see answer by venugopalramana(3286) About Me 

Question 62059: the graph of y=2sinx
Click here to see answer by rchill(405) About Me 

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