Questions on Algebra: Trigonometry answered by real tutors!

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Question 36839: if a number is decreased by its reciprocal, the result is 11 over 30. find the number.
Click here to see answer by venugopalramana(3286)

Question 37142: Inverse Trigonometric Functions
Select Correct Answer
Evaluate cos(sin^-1 - 3/5)
a. -4/5
b. 5/4
c. 4/5
d. -3/4

Evaluate tan(sin^-1(-3/5))
a. -4/5
b. 5/4
c. 4/5
d. -3/4
Evaluate cos(sin^-1(-1/5))
a. sqrt6/12
b. 2 sqrt 6
c. 2 sqrt 6/5
d. 5 sqrt 6/12
Evaluate tan^-1(tan 3pi/4)
a. 3pi/4
b. pi/4
c. -3pi/4
d. -pi/4
Evaluate cos(2sin^-1 - 5/13)
a. 120/169
b. 119/169
c. 12/13
d. 5/13
Click here to see answer by blabella(1)

Question 37248: What is the position of 2774 in the arithmetic sequences 5,18,31,44,..., 2774...
Click here to see answer by Nate(3500)

Question 37248: What is the position of 2774 in the arithmetic sequences 5,18,31,44,..., 2774...
Click here to see answer by checkley71(8403)

Question 37246: For the Arithmetic sequence 3x + 5y , 4x + 2y, 5x- y, 6x – 4y.....
a.Find d _________ b. Find the 40th term _____________________

Click here to see answer by stanbon(57347)

Question 37263: The first 4 terms of an arithmetic sequence are 187, 173, 159, and 145.
a. Give an explicit formula for this sequence.
b. Give a recursive formula for this sequence.

The first three terms of a geometric sequence are 3, -54, 972.
c. Give an explicit formula for this sequence.
d. Give a recursive formula for this sequence.
Click here to see answer by fractalier(2101)

Question 37261: Suppose that a particular computer depreciates 50% in value each year and has an original cost of
$4,000. in what year will the value of the computer become $100 or less?
Click here to see answer by fractalier(2101)

Question 37468: Find the Amplitude of Y = -8 sin 4 X
Click here to see answer by stanbon(57347)

Question 37635: Three Questions:
1. Find the area of the segment of a circle whose radius is 10inches, formed by a central angle of 80 degrees.
2. The sides of a parallelogram are 4 cm and 6 cm. One angle is 55 degrees. Find the lengths of the diagonal of the parallelogram.
3. Two factories blow their whistles at exactly 5:00 pm/ A man hears the two blasts at 3 seconds and 6 seconds after 5:00, respectively. The angle between his lines of sight to the factories is 42.2 degrees. If sound travels 344 meters per second, how far apart are the factories?
Click here to see answer by stanbon(57347)

Question 37740: A ladder 12 feet long rests against a wall of a house. the foot of the ladder is on level ground 2 feet from the wall. to the nearest hundreth, what is the measurement of th angle formed between the ladder and the ground ?
Click here to see answer by fractalier(2101)

Question 37779: How do use a half-angle formula to find the exact value of sin 7pie/8 ?
Click here to see answer by fractalier(2101)

Question 38067: I am having troublw with this question:
Find the radius and center of x^2+y^2+12x=0

Thanks,
Click here to see answer by fractalier(2101)

Question 38068: Please help:
If we graph 9x^2 + 36y^2 =36, determine whether the minor axis would lie on the x-axis or y-axis and find its length.

Thank you.
Click here to see answer by fractalier(2101)

Question 38066: Please help:
Find the equation of a line with parallel to y=8x-13 with y-intercept 9

Thanks,
Click here to see answer by fractalier(2101)

Question 38092: cot(-x)
_______
csc(-x)
Click here to see answer by stanbon(57347)

Question 38303: please please help me with this problem.ive tried and tried and i still cant get the answer. If the latitude of Chicago is about 42degrees and the radius of the earth is about 4000 miles, how far is Chicago from the equator?(use pi=3.1416)
Click here to see answer by Nate(3500)

Question 38064: Can someone please help with this question:
Solve the following system of equations:
-x+5y-2z=2
-x+4y+5z=1
x-6y+4z=-3

Thanks,
Click here to see answer by AnlytcPhil(1277)

Question 38366: Can someone please help:
Solve the equations:
x-2y+z =7
2x-5y+2z =17
-3x+7y+5z =-32

Thanks,
Click here to see answer by fractalier(2101)

Question 38174: A geometric sequenee has first term -4 and a constant ratio of 5.
a) Write the first six terms of this sequence.
_____,______,_____,_______,_______,_______

b) Find the sum of the first eight terms of this sequence
Click here to see answer by venugopalramana(3286)

Question 38078: How do you graph translations & vertical translations?
Click here to see answer by fractalier(2101)

Question 38524:

Find the exact value of sec(225 degrees)
Click here to see answer by Nate(3500)

Question 38524:

Find the exact value of sec(225 degrees)
Click here to see answer by venugopalramana(3286)

Question 38147: I need help using special right triangles to find the exact values of sines and cosines for each angle. For example: find the values of sine and cosine for the angle -135 degrees.
Click here to see answer by venugopalramana(3286)

Question 38809: Book pg.651
Problem 5)
note: ^-means exponent

5) 2sin^2@-sin@-1=0
So far this is what I have:
2sin^2@-sin@-1=0
(2sin@+1)(sin@-1)=0
sin@=1/2 and sin@=1
sin@of -1/2=210degrees and 330degrees, sin@1=90degrees
Solutions:{90, 210, 330 degrees}
How did sin of 1/2 change to -1/2
and
How did the answers of 210degrees and 330degrees come from sin of -1/2
Is there a way I can achieve these two degrees from a calculator? I'm using a Ti-84 silver.
Thanks for your help.
Click here to see answer by longjonsilver(2297)

Question 38875: Notes:^-exponent
problem: Cos2@+6Sin^2@=4
So far I have:
1-2Sin@+6Sn^2@=4
-2Sin@+6Sin^2@=3
4Sin^2@/4=3/4 (divide by 4)

Sin^2@=3/4
Sin=+/-radical 3/4
= radical 3 over -2

How is +/-radical 3/4
changed to radical 3 over -2
Thank You
Click here to see answer by AnlytcPhil(1277)

Question 38890: I must find the domain and range for:
f(x) 3x-2 over 4+5x
Domain:
4+5x=0
-4 both sides
=5x=-4
divide 5 both sides
x=-4 over 5
How do I find the range?
Thank You
Click here to see answer by longjonsilver(2297)

Question 38889: Question:
The minute hand on a clock is 6" long, how far does it move in 25 minutes?
The answer I show in the solutions manuel shows
150degrees = 5pie over 6, divide by 6 = 5pie = 15.71 inches
How did they get 5pie over 6 from 150degrees?
Thanks
Click here to see answer by longjonsilver(2297)

Question 38933: solve the equation 2 sec x-5= 0 for 0 less than or equal to x less than 2 pi. give answers to the nearest hundreth of a radian.
Click here to see answer by fractalier(2101)

Question 38935: find the exact value of sin 75 degrees.
Click here to see answer by fractalier(2101)

Question 38936:

Let a and b be acute angles with sina = 4/5 and sinb = 5/13.

Find cos(a - b)



Click here to see answer by AnlytcPhil(1277)

Question 38934: a sector of a circle has area 8.1pi cm squared and central angle 36 degrees. find its radius and arc length.
Click here to see answer by Earlsdon(6287)

Question 38934: a sector of a circle has area 8.1pi cm squared and central angle 36 degrees. find its radius and arc length.
Click here to see answer by fractalier(2101)

Question 38938: Can you write a sine curve equation given a maximum point of (,)
Click here to see answer by fractalier(2101)

Question 38955: 4x^4-4x^2+1
Click here to see answer by fractalier(2101)

Question 38963: express each of the following in terms of a reference angle.
a) cos 236 degrees
b)sin 485 degrees
c)sin (-62 degrees)
Click here to see answer by fractalier(2101)

Question 39038: 1+ Sin^2Sec^2= Sec^2
Click here to see answer by stanbon(57347)

Question 39058: Find the exact value by using half-angle formula.
a)sin22.5 b)sin7pie/8
Click here to see answer by stanbon(57347)

Question 39036: 1+Cos2w/Sin2w = 2Csc2w-1
One plus cosine squared w over sin squared w = Two cosecant squared w minus one.
How do you solve this identity.
Click here to see answer by fractalier(2101)

Question 39037: Sec a- Cos a/ Tan a = Sin a
Click here to see answer by fractalier(2101)

Question 39037: Sec a- Cos a/ Tan a = Sin a
Click here to see answer by venugopalramana(3286)

Question 38931: express each of the following in terms of a reference angle.
a)cos 236 degrees
b)sin 485 degrees
c)sin (-62 degrees)
Click here to see answer by fractalier(2101)

Question 39168: Sin w times Tan w + Cos w = Sec w
Click here to see answer by AnlytcPhil(1277)

Question 39170: Cot a-1/1-Tan a = Csc a/Sec a
Click here to see answer by longjonsilver(2297)

Question 39169: 1+ Sin^2aSec^2a = Sec^2a
Click here to see answer by longjonsilver(2297)

Question 39252: find the value of sin4A and cos4A
Click here to see answer by fractalier(2101)

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