# Questions on Algebra: Trigonometry answered by real tutors!

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 Algebra: Trigonometry Solvers Lessons Answers archive Quiz In Depth

 Question 458901: Using the Intermediate Value Theorem, show that the function f has a zero between a and b. f(x)=x^3+4x^2-8x-10 a=-6, b=-5 what is f(-6)? what is f(-5)? is there a zero between x=-6 and x=-5 Click here to see answer by richard1234(5390)

 Question 458928: find a polynomial function of degree 7 with -3 as a zero of multiplicity 3,0 zero of multiplicity 3, and 3 as a zero multiplicity of 1. The function f(x)= (use 1 for leading coefficient). Click here to see answer by Alan3354(30993)

 Question 458932: Suppose a polynomial function of degree 5 with rational coefficients has given numbers as zeros 2, 5, 5-4i,5. The other zeros is_______. Click here to see answer by math-vortex(472)
 Question 458932: Suppose a polynomial function of degree 5 with rational coefficients has given numbers as zeros 2, 5, 5-4i,5. The other zeros is_______. Click here to see answer by richwmiller(9143)

 Question 458889: Use an end behavior diagram to describe the end the given function. P(x)=-3.14x^6+x^5-x^4-x+2 Click here to see answer by richard1234(5390)

 Question 458917: Use synthetic division to determine whether the numbers are zeros of the polynomial function. -3,1; h(x)=x^4+3x^3+2x^2-4x-2 is -3 a zero of this function? is 1 a zero of this function? Click here to see answer by Alan3354(30993)

 Question 459007: a boat leaves the entrance to a harbor and travels 40 miles on a bearing of S64 how many miles south and how many miles east from the harbor the boat traveled Click here to see answer by Alan3354(30993)

 Question 459190: You are standing 75 meters from the base of the Jin Mao in Shangai, China. You estimate that the angle of elevation to the top of the building is 80. What is the approximate height of the building? Suppose one of your friends is at the top of the building. What is the distance between you and your friend? i found the answer to the first question its 425.3.. i have no idea how to do the second part of the problem... Click here to see answer by rfer(12666)

 Question 459274: Find to the nearest tenth of a degree ,all values of x in the interval 0 less than/equal to x lessthan/equal to 360 degrees that satisfy the equation 4cos^2x-5sinx-5=0 Can you please help me answer this? Click here to see answer by Gogonati(809)

 Question 459344: Find the logarithm using the change of base formula log8 14 Click here to see answer by nerdybill(6962)

 Question 459727: Using the two special triangles and your knowledge of angles of any magnitude, ﬁnd the exact value of:(a)sin 2pi/3 b) cos 2pi/3 c) tan 7pi/6 If f(x) = sin x ,g(x) = cos2x and h(x) = tan3x, ﬁnd, correct to three signiﬁcant ﬁgures:(a)f(1) + g(1) + h(1) b) f(g(h(1))) Click here to see answer by richard1234(5390)

 Question 459835: tan (5 pie/9) - cot (3 pie/2) = ? Click here to see answer by stanbon(57384)

 Question 459995: Need to prove the given identities sin θ/2 cos θ/2 = sin θ/2 Click here to see answer by Alan3354(30993)

 Question 460456: Find one exact solution for tan^2(x) = 3. Click here to see answer by stanbon(57384)

 Question 460515: 1. Find the measure of the least positive angle that is a coterminal with -135 degrees 2. Use a calculator conversion sequence to change -5.287 radians to the equal angle, expressed in the nearest 0.01 degrees 3. Find values for sin x, cos x, and tan x of the angle (in standard position) whose terminal side passes through (6, 6). 4. Find sec x if cot x = 0.692. 5. From the top of a 54 feet high lighthouse, the angle of depression to a small boat is 34.4488 degrees. How far from the foot of the lighthouse is the boat? 6. Determine the quadrants in which the terminal side of tan x = 1.7321 lies. 7. Use the reference angle of sin 300 degrees to find the exact value. 8. Convert the angle 75 degrees to radians 9. Find the arc length if an angle of pi/6 cuts a circle with a radius of 6.78 inches. 10. Sketch the graph of y = 2 sin x over the interval [0,2pi]. Click here to see answer by richwmiller(9143)

 Question 459997: Need to prove the given identities 2csc 2x cot x = 1 + cot^2 x Click here to see answer by lwsshak3(6519)

 Question 459996: Need to verify the identity. -cot t + sin t/1-cos t = csc t Click here to see answer by lwsshak3(6519)

 Question 459602: what is the exact value for sec(-5pi/6) I know the equation is 1/cos but is it negative sqrt(3)/2 or positive? or is it negative 1/2 or positive? Click here to see answer by lwsshak3(6519)

 Question 460694: The needle of the scale in the bulk food section of a supermarket is 26 cm long. Find the distance the tip of the needle travels when it rotates 64 degrees. Click here to see answer by lwsshak3(6519)

 Question 460692: A plane travels 160 miles at a heading of N 33 degrees W. It then changes direction and travels 205 miles at a heading of N 49 degrees W. How far is the plane from it's original position? Click here to see answer by lwsshak3(6519)

 Question 459333: #5 on homework. sketch graph of function f(x)=log2(x+1) by transforming y=log2x Find domain and vertical asympote Click here to see answer by lwsshak3(6519)

 Question 460824: I have an equilateral triangle, with a known length of hypotenusa (25 cms). How do I calculate the length of a side of the triangle? I don't get any further than 625 = c^2-(c/2)^2 I need this to design a quilt - this is an equation I need quite often and I'd rather make my quilt pieces the size I want them rather than buy a pattern and live with whatever the designer wanted. Click here to see answer by rwm(914)

 Question 460960: Find the x-intercepts, y-intercepts and the vertex of g(x)=-3x^2+6x+1 Click here to see answer by lwsshak3(6519)

 Question 460962: If the endpoints of a diameter of a circle are (4,3)and (-3,5), what is the equation of the circle? This is my answer is this right, if not what is? Answer (5-3)^2+(-3-4)^2 =2^2+(-7)^2 =4+49 =53 radius=53/2 midpoint : (1/2, 4) equation of the circle=(x-1/2)^2+(y-4)^2=53/4 Click here to see answer by jim_thompson5910(28598)
 Question 460962: If the endpoints of a diameter of a circle are (4,3)and (-3,5), what is the equation of the circle? This is my answer is this right, if not what is? Answer (5-3)^2+(-3-4)^2 =2^2+(-7)^2 =4+49 =53 radius=53/2 midpoint : (1/2, 4) equation of the circle=(x-1/2)^2+(y-4)^2=53/4 Click here to see answer by Gogonati(809)

 Question 460693: An energy company uses one wellhead to drill several exploratory wells at different angles. They strike oil when they have drilled 2015 feet along an angle of depression of 44 degrees. Find the depth of the oil deposit. Click here to see answer by ankor@dixie-net.com(15660)

 Question 461472: What is the coterminal angle of 230 degrees? Click here to see answer by MathLover1(6638)

 Question 461585: What is the amplitude, period, phase shift, and vertical shift of: y=3sin4(x-(π/2))+2 I am completely stumped on this and my solutions aren't making sense. Any help will be greatly appreciated. Click here to see answer by lwsshak3(6519)

 Question 461701: What is the exact value of sin ((22 1/2)degrees) using sum and difference? Click here to see answer by solver91311(16897)

 Question 461795: Find each exact value. Do not use a calculator. 1) tan 9pi over 4. Use a calculator to approximate each value to four decimal places. 2) sin 710 degrees Click here to see answer by Gogonati(809)

 Question 461749: What is the exact value of tan ((67 1/2)degrees) using half angle? Click here to see answer by lwsshak3(6519)

 Question 461972: Hi, I have a function f(angle), that needs to be fed an angle between 0 and 2*Pi. The problem with the trigonometric functions is that they only cover 0 to 90 degrees. I need to cover the whole 360 degrees. Is there any alternative to using the trigonometric functions? Let's say vectors, sign functions, anything. I don't want to use conditional math. Click here to see answer by lwsshak3(6519)

 Question 461677: If sin theta < 0 and tan= -4/5 in which quadrant does it terminate? Click here to see answer by lwsshak3(6519)

 Question 463185: Jeff's pie has a radius of 4 in. and it needs to be sliced in 16 equal pieces. Find the area of each slice. Click here to see answer by MathLover1(6638)

 Question 463254: Consider an angle that measures 5 pi over radians sketch the angle in standard position Click here to see answer by Alan3354(30993)

 Question 463114: if cotx=5/12 anc cosx<0 what is the measure of x to the nearest degeee Click here to see answer by lwsshak3(6519)

 Question 463686: HI, I am stuck, I just cant figure out what to do with this problem. Your help is much appreciated. Thank you in advance. Q: Give the degree measure of theta. theta=csc^-1(-2) Click here to see answer by lwsshak3(6519)

 Question 459396: prove the given identities sin θ/2 cos θ/2 = sin θ/2 Click here to see answer by lwsshak3(6519)