Questions on Algebra: Trigonometry answered by real tutors!

Tutors Answer Your Questions about Trigonometry-basics (FREE) Get help from our free tutors ===> Algebra.Com stats: 2014 tutors, 419794 problems solved View all solved problems on Trigonometry-basics -- maybe yours has been solved already! Become a registered tutor (FREE) to answer students' questions. Click here to see problems AND answers on one page Question 387952: What is the exact value of tan(cos^-1(-4/7)) ? Click here to see answer by robertb(4012)   Question 387952: What is the exact value of tan(cos^-1(-4/7)) ? Click here to see answer by user_dude2008(1861)   Question 387971: What is the exact value of cos(1/2*tan^-1(-5))? Click here to see answer by robertb(4012)   Question 387970: Given sin(theta) = -3/7 and tan(theta) > 0, what are all 6 exact trig values and what is the corresponding quadrant and point on the circle? Click here to see answer by jsmallt9(3296)   Question 387849: Solve sec(t) given t=pi/2 or find t when sec(t)=2/square root 2 I know sec=1/cos(t) For t=pi/2 I got sec(t)=0 but I'm not sure if its correct or even how to do it. Please Help Click here to see answer by solver91311(16897)   Question 388061: A plane flies 500 kilometers with a bearing of N 44 degrees W from B to C. The plane then flies 720 KM from C to A. Find the bearing of the flight from C to A. Here is a picture of the diagram http://i763.photobucket.com/albums/xx275/trinhkieu888/9-1.jpg thanks for the help! Click here to see answer by Fombitz(13828)   Question 388142: h(x)=2x^4-7x^3+4x^2+7x-6 Click here to see answer by Fombitz(13828)   Question 388308: Find the approximate solution to the nearest hundreth using common logarithms 17=5^x Click here to see answer by stanbon(57361)   Question 388307: Find the vertex and equation of the directrix for the following parabola y^2=-32x Click here to see answer by stanbon(57361)   Question 388313: Using f(x)=1sin x or f(x)=cos x as a guide,graph each function. Identify the amplitude and the period. f(x)=2 sin 1/2 x thnxs Click here to see answer by texttutoring(324)   Question 388313: Using f(x)=1sin x or f(x)=cos x as a guide,graph each function. Identify the amplitude and the period. f(x)=2 sin 1/2 x thnxs Click here to see answer by stanbon(57361)   Question 388305: The Ohio Turnpike has a maximum uphill slope of 3 degrees. How long must a straight uphill segment of the road be in order to allow a vertical rise of 580 feet? Click here to see answer by mananth(12270)   Question 388459: Cot x / sec x Please help Click here to see answer by stanbon(57361)   Question 388306: Find Click here to see answer by Fombitz(13828)   Question 388309: Solve for triangle ABC is Click here to see answer by Fombitz(13828)   Question 388466: write this equation in the exponential form 8y = 300 Click here to see answer by Alan3354(30993)   Question 388388: you decide to make a box. You have one piece of plastic with dimensions 15 in x 10 in, with squares cut from the corners to fold up the sides. a. Write an equation that represents the volume of the box without a cover. b. Graph your equation on graphing calculator c. Use a graph to find the dimensions of the box, to the nearest whole numbers, with the maximum volume. THANK YOU SO VERY VERY VERY MUCH!! Click here to see answer by Earlsdon(6287)   Question 388510: If cos θ= 1/4, find tan θ. Click here to see answer by Fombitz(13828)   Question 388643: Need your help please! If tan θ = -2/3 and angle θ lies in the second quadrant, what is the value of cos θ? Thank you! Click here to see answer by stanbon(57361)   Question 388644: Please help! The expression 3 sin 1/2x reaches its maximum value when x, expressed in radians, equals a) pie b) 3 c) pie/2 d) 3/2 Thanks Click here to see answer by stanbon(57361)   Question 388644: Please help! The expression 3 sin 1/2x reaches its maximum value when x, expressed in radians, equals a) pie b) 3 c) pie/2 d) 3/2 Thanks Click here to see answer by Alan3354(30993)   Question 388641: Hi, Can you please help me! If the point (-5,-2)is on the terminal arm of N, an angle in standard position, what is the value of tan N? Thanks Kamla Click here to see answer by stanbon(57361)   Question 388642: Please help! If cos x = 0.8, what is a value of tan 1/2x? Thanks Click here to see answer by stanbon(57361)   Question 388645: Need your help please! In the interval 0° ≤ θ ≤ 360°, how many values of θ satisfy the equation ? a)1 b)2 c)3 d)4 Thanks Click here to see answer by Edwin McCravy(8909)   Question 388655: Two terms of an arithmetic sequence are a9 = 85 and a30 = 295. Find a rule for the nth term. Click here to see answer by Fombitz(13828)   Question 388657: MONSTER TRUCKS A monster truck drives off a ramp in order to jump onto a row of cars. The ramp has a height of 8 feet and a horizontal length of 28 feet. What is the angle θ of the ramp? Round your answer to the nearest integer, if necessary. Click here to see answer by richard1234(5390)   Question 388661: Two terms of an arithmetic sequence are a7 = 33 and a22 = 138. Find a rule for the nth term. Click here to see answer by Edwin McCravy(8909)   Question 388660: Graph f(x) = sin (x − 2π) − 1. Vertical shift =? Click here to see answer by Edwin McCravy(8909)   Question 388659: Solve cos x − 1 = 0 on the interval 0 ≤x ≤ π/2. Describe the pattern, write the next term, and write a rule for the nth term of the sequence 5, 5.3, 5.6, 5.9. . . What is the next term in the pattern? The next term in the pattern is Graph f(x) = sin (x − 2π) − 1. Vertical shift =? Click here to see answer by stanbon(57361)   Question 388654: i have selected 10 problems i am having trouble with if anyone could PLEASE help i would be so grateful. thank you so much :) Two terms of an arithmetic sequence are a9 = 85 and a30 = 295. Find a rule for the nth term. −5 + 12n −5 + 10n 5 + 10n 5 + 12n Q2) What is the measure of the angle θ in the triangle shown? θ 31.07 θ 58.93 θ 62.70 θ 27.30 Q3) Solve 3 tan x −√3 = 0. x = π/6 + nπ x = π/6 or x = 7π/6 x = π/6 + 2nπ x = √2 or x = √3 Q4) Two terms of an arithmetic sequence are a8 = 76 and a28 = 296. Find a rule for the nth term. −12 + 11n 12 + 13n 12 + 11n −12 + 13n Q5) MONSTER TRUCKS A monster truck drives off a ramp in order to jump onto a row of cars. The ramp has a height of 8 feet and a horizontal length of 28 feet. What is the angle θ of the ramp? Round your answer to the nearest integer, if necessary. θ 16 θ 14 θ 12 θ 10 Q6) Solve cos x − 1 = 0 on the interval 0 ≤x ≤ π/2. x = π/3 x =0 x = π/6 x = π/4 Q7) Describe the pattern, write the next term, and write a rule for the nth term of the sequence 5, 5.3, 5.6, 5.9. . . What is the next term in the pattern? The next term in the pattern is 5.9 6.5 6.9 6.2 Q8) What is the measure of the angle θ in the triangle shown? θ 63.43 θ 30.00 θ 60.00 θ 26.57 Q9) Graph f(x) = sin (x − 2π) − 1. Vertical shift =? Vertical shift = -2 Vertical shift = -1 Vertical shift = -3 Vertical shift = 0 Q10) Two terms of an arithmetic sequence are a7 = 33 and a22 = 138. Find a rule for the nth term. 16 + 10n 16 + 7n −16 + 10n −16 + 7n Click here to see answer by stanbon(57361)   Question 388699: Please help. If sin θ < 0 and tan θ = −4/5, in which quardrant does θ terminate? a)I b)II c)III d)IV Thanks Kamla Click here to see answer by stanbon(57361)   Question 388700: Please help. In standard position, an angle of 7pie/3 radians has the same terminal side as an angle of a)-420 degree b)60 degree c)240 degree d)120 degree Thanks Kamla Click here to see answer by Alan3354(30993)   Question 388702: If cos(2x + 25) degree = sin 35 degree, then x may equal a)15 b)25 c)10 d)20 Thanks Kamla Click here to see answer by richard1234(5390)   Question 388726: Hello :) Could use your help on a question here :P Solve 4sin^2(2x)=3 when x is equal or more than 0degree but less than or equal to 180degrees Obviously I got to sin^2(2x)=3/4 but that's when the problem starts... I am not sure how to solve sin^2(2x) as I've never seemed to have encountered simliar questions before and the internet just gives obvious stuffs that I already know. Thank you very much! :D Click here to see answer by richard1234(5390)   Question 388701: In triangle ABC, a = 8, b = 9, and m a)18 b)36 c)18 sq rt2 d)36 sq rt2 Thanks Kamla Click here to see answer by Alan3354(30993)   Question 388703: The value of cos pie/3 - sin 3pie/2 is a)1 1/2 b)1/2 c)-1 1/2 d)- 1/2 Thanks Kamla Click here to see answer by Alan3354(30993)   Question 387046: Cos -1(-√3/2) Click here to see answer by robertb(4012)   Question 388653: Two terms of an arithmetic sequence are a9 = 85 and a30 = 295. Find a rule for the nth term. a.−5 + 12n b.−5 + 10n c.5 + 10n d.5 + 12n A mountain climber has a rope 172 feet long attached to his belt being held by his partner down on the ground. The angle of elevation from the ground to the climber is 53. Estimate the climber's height above the ground. Round your answer to the nearest integer. a.h ≈135feet. b.h ≈139 feet. c.h ≈140 feet. d.h ≈137 feet. Graph y = sin x + 2. The Period is? Click here to see answer by Alan3354(30993)   Question 388825: Identify all coterminal angles between -360 degrees and 360 degrees for the angle -420 degrees. A. -60 degrees and 300 degrees B. -30 degrees and 330 degrees C. 30 degrees and -330 degrees D. 60 degrees and -300 degrees Thank you so much for all your help!!!! God Bless and Happy Holidays!!! Click here to see answer by stanbon(57361)   Question 388838: What is the area of (triangle)ABC if a=8; b=6; and sin C=0.75? a) 18 b) 72 c)9 d)36 Answer: b Thanks Click here to see answer by richard1234(5390)   Question 388840: In which quadrant does the terminal ray of a standard position angle of 16x/5 radians lie? a)I b)II c)III d) IV Answer: c Can you please check to see If did it right. Click here to see answer by stanbon(57361)   Question 388839: The value of tan (Arc sin sqrt 3/2) is a)sqrt 2/2 b)1 c)sqrt 3/2 d)sqrt 3 Answer: c Thanks Click here to see answer by stanbon(57361)   Question 388841: 5) Solve for all values of 2 sin θ + sqrt 3=0 when 0° ≤ θ ≤ 360°. a)240°, 300° b)150°, 210° c)60°, 120° d)60°, 300° Answer: a Can you please check to see If did it right. Click here to see answer by Edwin McCravy(8909)   Question 388837: 1) What is the value of sin (Arc cos 1/x)? a) sqrt1-xsq/x b) sqrt1+xsq/x c) x/sqrt xsq+1 d) sqrt xsq-1/x Answer : a Thanks Click here to see answer by Alan3354(30993)   Question 388793: How do you graph the following trigonometric function:csc 3 (x+pi/3)-2 Click here to see answer by haileytucki(390)

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