Questions on Algebra: Trigonometry answered by real tutors!

Tutors Answer Your Questions about Trigonometry-basics (FREE)

Question 158102: the problem is....
the lengths of the legs of an isosceles triangle are integers. the base is half as long as each leg. what are the possible lengths of the legs if the perimeter is between 6 and 16 units?
Click here to see answer by Edwin McCravy(8909)

Question 158292: find the measures of two supplementary angles with the measures (2z-3)° and (4z)°
Click here to see answer by jim_thompson5910(28595)

Question 158273: how can i find the equation of a given trigonometric function graph? what the period and how can i find it? How can i know if a graph equation is y= sin x or if its y= cos x?
Click here to see answer by edjones(7569)

Question 158593: An A-frame lake house is 21 feet wide. If the roof of the home makes a angle with the base of the home, what is the length of the house from ground level to the peak of the roof?
Larson, R., Hostetler, R. P., & Edwards, B. H. (2005). Trigonometry a graphing approach (4th ed.). Boston: Houghton Mifflin.
I would really appreciate your help!
Click here to see answer by vleith(2825)

Question 158564: An A-frame lake house is 21 feet wide. If the roof of the home makes a angle with the base of the home, what is the length of the house from ground level to the peak of the roof?
Larson, R., Hostetler, R. P., & Edwards, B. H. (2005). Trigonometry a graphing approach (4th ed.). Boston: Houghton Mifflin.
Click here to see answer by ankor@dixie-net.com(15652)

Question 158705: I re-submitted this question. I had missing data, sorry!

An A-frame lake house is 21 feet wide.If the roof of the home makes a 45 degree angle with the base of the home,what is the length of the house from ground level to the peak of the roof?
Larson, R., Hostetler, R. P., & Edwards, B. H. (2005). Trigonometry a graphing approach (4th ed.). Boston: Houghton Mifflin.

Click here to see answer by checkley77(12569)

Question 158680: a car radiator contains 10 liters of a 30 percent anti freeze solution how many liters would have to be replaced with pure antifreeze if the resulting is to contain 50 percent?
Click here to see answer by ankor@dixie-net.com(15652)

Question 158834: where does sinx= -4/5 ?
in radian please
Click here to see answer by Fombitz(13828)

Question 159001: solve for c
x+y+2=tan(x+c)
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Question 158965: 12x^2-5x-2 [times] 18x+12 [times] 1/27x^3-12x
the three equations need to be multiplied together. the last one is a fraction, 1 over 27x3-12x
Click here to see answer by checkley77(12569)

Question 156186: Mathematical induction is a two-step process that tests the truthfulness of
mathematical formulas. How many “falsehoods” have to be found to prove a theorem to
be false?
a. 3, to break the tie
b. 2, just to be sure
c. It only takes one
d. You can never prove a theory to be false, only true
Click here to see answer by Alan3354(30993)

Question 159959: Factor and simplify: cos²x-sin²xcos²x
Click here to see answer by stanbon(57347)

Question 159966: Verify the identy:

1+tan²x
------- =csc²x
tan²x
Click here to see answer by Fombitz(13828)

Question 160063: Matt is 1.59 m tall and wants to find the height of a tree. He walks 21.80 m from the base of the tree along the shadow until his head is in a position where the tip of his shadow exactly overlaps the end of the tree top's shadow. He is now 5.99 m from the end of the shadows. How tall is the tree? Round to nearest hundredth. The answer should be 7.38m but I have no idea how to reach that answer. I am assuming I should set up a proportion but I am not sure. Can you help?
Click here to see answer by scott8148(6628)

Question 159982: A person is standing 400m from the base of a building that has a flag pole on top. If the angle of elevation from the person to the top of the building is 27.3 degrees, and the angle of elevation from the person to the top of the flag pole is 29.8 degrees, what is the height of the flag pole?
Click here to see answer by edjones(7569)

Question 160177: Solve the literal equation for the variable "a".
x=(a+b+c)/(ab)

Click here to see answer by Edwin McCravy(8909)

Question 160353: The hour hand of a clock is 4 inches long while the minute hand is 5 inches long. At some time between 12:15 PM and 12:30 PM, the tips of the hands are 8 inches apart. What time is it then? (Answer to the nearest second.)
Click here to see answer by ankor@dixie-net.com(15652)

Question 160591: The distance from the ground level to the underside of a cloud is called the ceiling.A ground observer 950 m from a searchlight aimed vertically notes that the angle of elevation of the spot of light on a cloud is 76 degrees. What is the ceiling?
Click here to see answer by MathLover1(6632)

Question 160567: prove cot^2(x)(sec^2(x)-1)=1
Click here to see answer by Fombitz(13828)

Question 160624: Two fire look-out stations are 20 miles apart with station B directly east of station A. Both stations spot a fire. The bearing of the from station A is and the bearing of the fire from station B is . How far is it from station A to the fire?
11 miles
13 miles
17 miles
15 miles

Click here to see answer by Edwin McCravy(8909)

Question 160870: Please help me :)
Find theta for 0 degrees less tha or equal to ( a) tan theta= 0.932, sin theta<0
b) sin theta= -0.192, tan theta<0
c) sec theta= 2.047, cot theta <0
d) cot theta=-0.3256,csc theta>0
#50.page 243
Click here to see answer by gonzo(654)

Question 161328: can you give me a few applications of trigonometry in everyday life?
I have to do a project on this topic.
Thank you,
Ann Abraham
Click here to see answer by vleith(2825)

Question 161439: this problem is for my open book test problem 100 on pg 148

Click here to see answer by Alan3354(30993)

Question 162209: How do you do h(x)=0.5? I forgot the step-by-step process. THANK YOU!
Click here to see answer by stanbon(57347)

Question 162252: simplify the following expression by justifying each step:
cotA(secA-cosA)
Click here to see answer by jojo14344(1512)

Question 162316: simplify the following expression by justifying each step:
cotA + Tan A / (csc squared)A
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Question 162317: Solve:
2sin3theta= square root of 2 (for 0 degress < or equal to thetha < or equal to 360 degrees)
Click here to see answer by Alan3354(30993)

Question 162318: solve:
(sin squared) thetha - sin theta = (cos squared) thetha (for 0 degrees , or equal to thetha < or equal to 2 pi)
Click here to see answer by adamchapman(301)

Question 162345:

Click here to see answer by Edwin McCravy(8909)

Question 162560: Sketch this graph and be sure to include the maximums, minimums, and axis of wave:
y+3=6sin (pi/4) (x+2) Use scale of x:y as 1:1
Click here to see answer by Fombitz(13828)

Question 162648: AB is a line 652 ft long on one bank of a stream, and C is a point on the opposite bank. A=53 degree 18 min and B=48 degree 36 min. Find the width of the stream from C to AB.
Click here to see answer by jojo14344(1512)

Question 162753: Whats the valu of SecA When 3 CotA = 4
Click here to see answer by gonzo(654)

Question 163173: Last problem that I'm stumped with child in 8th grade and I have no clue
The temperature at Blue Ridge was -11 degrees at 700 am The temperature rose 14 degrees by noon, and then dropped 5 degrees by 6:00 pm. Which of the following describes the temperature at 6:00 PM
a. below -11 degree F
b. above 14 degress f
c. above 0 degree f but below 14 degree f
d below 0 degrees f but above -11 degree f
e 0 degree f
Click here to see answer by ptaylor(2048)

Question 163218: what is the factor of c^15+64

Click here to see answer by Earlsdon(6287)

Question 163395: given: f(x)=5x-x^2
find: f(5-h)-f(5)/h
Click here to see answer by gonzo(654)

Question 163930: If I am only given angles of 40,60 and 80 degrees in a triangle (no side lengths) how am i to find a side length? Thank you.
Click here to see answer by stanbon(57347)

Question 163943: what is the derivative of -CSCxCotx? I know how to start it but i dont know how to symplify the last step CSCx((CSCx)^2+(Cotx)^2)?
Click here to see answer by Edwin McCravy(8909)

Question 164121: 3+2i/8-2i
Click here to see answer by checkley77(12569)

Question 164350: Proving identities
tanx+cotx=2csc2x

Click here to see answer by Edwin McCravy(8909)

Question 164495: (4x-3)/6 + (x/4) = x-2
I've been struggling with this problem and I'd love it if you would help me. I'd appreciate it very very much! Thanks for your consideration! I've never been good at fractions like this...
Click here to see answer by nerdybill(6958)

Question 164504: You invested $6000 at 4.5% and 5.5% simple interest. During the first year, the two accounts earned $305. How much did you invest in each fund? (note: the 5.5% account is more risky.)
Word problems aren't usually that difficult, but for whatever reason, this one has confused me. I don't know why...I think it's hard for me to keep track of as it progresses. Could you please help me? Thanks so much!
Click here to see answer by checkley77(12569)

Question 164768: I can not seem to solve the following Trigonometric Identity:

I realize the left side is a difference of squares, but I'm not sure if that really is useful in solving (I came up with . On the right side I multiplied it out and came up with . Can you tell me what I've done wrong? Very appreciated. Thanks, Laura
Click here to see answer by scott8148(6628)

Question 165355: Solve 2sin^2x = sinx for all real values in the interval (0,2pi)
Click here to see answer by gonzo(654)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540