# Questions on Algebra: Trigonometry answered by real tutors!

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 Algebra: Trigonometry Solvers Lessons Answers archive Quiz In Depth

 Question 309130: Hello, I'm sorry if this question is confusing but i don't understand this, so it's sort of hard to explain. Okay, i have triangle ABC. Angle ABC=90 Degrees, Angle BCA=75 Degrees, and angle CAB=115 Degrees. If the length of line BC equals 20 units, what is the length of line AB? Please explain. Click here to see answer by Alan3354(30983)

 Question 309264: A right triangle has an acute angle theta such that cos(theta)=15. Find cos(thete) Click here to see answer by rapaljer(4667)

 Question 309300: Hello, I'm sorry if this question is confusing but i don't understand this, so it's sort of hard to explain. Okay, i have triangle ABC. Angle ABC=90 Degrees, Angle BCA=75 Degrees, and angle CAB=15 Degrees. If the length of line BC equals 20 units, what is the length of line AB? Please explain. Click here to see answer by jim_thompson5910(28504)

 Question 309359: A circle has a diameter of 2 inches. In inches, what is the length of the arc intercetped by a central angle of 2 radians, Click here to see answer by nyc_function(2733)

 Question 309689: We are proving identities and my book only has three examples. So I was hoping I could get some help solving a problem my teacher assigned on our test. I failed to answer it correctly, but he will be doing similar problems on our final exam. cos^2 x cos^2 y = -sin(x+y) sin(x-y) If you could show the steps and explain them I'd greatly appreciate it. Click here to see answer by jim_thompson5910(28504)

 Question 309858: x+y=6 next qustion x+y=2 next qustion x-y=2 next qustion o-y=0 Click here to see answer by Alan3354(30983)

 Question 310628: if Theta is an angle between 0 degrees and 90 degrees such that sin=3/5, how much is sec? Click here to see answer by stanbon(57250)
 Question 310628: if Theta is an angle between 0 degrees and 90 degrees such that sin=3/5, how much is sec? Click here to see answer by Fombitz(13828)

 Question 310722: Solve the following equation algebraically for all values of theta in the interval 0 degrees is less than or equal to theta which is less than or equal to 180 degrees 2sintheta minus 1=0 Click here to see answer by Fombitz(13828)
 Question 310722: Solve the following equation algebraically for all values of theta in the interval 0 degrees is less than or equal to theta which is less than or equal to 180 degrees 2sintheta minus 1=0 Click here to see answer by nyc_function(2733)

 Question 310723: Find to the nearest degree all values of theta in the interval 0 degrees is less than or equal to theta which is less than or equal to 180 degrees that satisfy the equation 8cos(squared)theta-2cos(theta)-1=0 Click here to see answer by stanbon(57250)

 Question 310783: solve for all values of θ for = the < 360 degrees, that satisfy the equation sec ^2 θ - 3=tan θ , to the nearest tenth of a degree Click here to see answer by stanbon(57250)

 Question 310668: Solve the following oblique triangles 1. a=23.47, b=115 degrees, 30', and c=20 degrees, 29'. 2. a=134.2, b=84.54, and B=52 degrees, 9 minutes, 11 seconds. 3. a=627.7, b=412.2, and A=66 degrees, 47'. i knows its alot but anyones help will be appreciated Thank you :D Click here to see answer by stanbon(57250)

 Question 310822: A) what do you mean by a rational number? Give an example of a rational number and an irrational number. B) rewrite 0.32727272727 as a rational number. C) Give an example of a rational function and a polynomial function. D) differentiate a hole and an essential discontinuity of a function. Click here to see answer by solver91311(16872)

 Question 310827: A balloon is anchored to a rope of length 500 feet. Express the angle of elevation from the anchor to the balloon as a function of height. Height is the leg opposite the angle. What I did: sin theta=h/500 500sin theta=h but my teacher wrote inverse sin(h/500) and I don't understand why. Click here to see answer by Earlsdon(6287)

 Question 311020: Find the variance and standard deviation of the given set of data to the nearest tenth. {520, 260, 380, 440, 150, 570, 780} A. variance = 192.3, standard deviation = 36,991.8 B. variance = 43,157.1, standard deviation = 207.7 C. variance = 36,991.8, standard deviation = 192.3 D. variance = 36,991.8, standard deviation = 18,495.9 I am totally confused on how to solve this. Click here to see answer by Fombitz(13828)

 Question 311212: How do you solve theta problems on your calculator? such as tan θ =2/5 ? Click here to see answer by stanbon(57250)

 Question 311224: The truck of a leaning tree makes an angle of 12 degrees with the vertical. To prevent the tree from falling over, a 35.0 m rope is attached to the top of the tree and is pegged into level ground some distance away. If the tree is 20.0m from its base to its top, calculate the angle the rope makes with the ground to the nearest degree. Click here to see answer by nyc_function(2733)

 Question 311276: a ball is rolling in a circular path that has a radius of 10 inches. what distance has the ball rolled when the subtended arc is 54 degrees? Click here to see answer by Fombitz(13828)
 Question 311276: a ball is rolling in a circular path that has a radius of 10 inches. what distance has the ball rolled when the subtended arc is 54 degrees? Click here to see answer by ankor@dixie-net.com(15639)

 Question 311277: every time the pedals go through a 360 degree rotation on a cetain bicycle, the tires rotate three times. if the tires are 24 inches in diameter, what is the minimum number of complete rotations of the pedals needed for the bicycle to travel at least one mile? 1) 12 3)561 2) 281 4)5,280 Click here to see answer by mananth(12270)

 Question 311218: What is the exact value of the function cos 2880? Click here to see answer by Alan3354(30983)

 Question 311288: How do you find the length of the adjacent side if you only know the angle and the opposite side? Click here to see answer by Fombitz(13828)

 Question 311280: the lateral surface are of a right circular cone, s, is represented by the equation, S=Pi r^2 radical((r^2+h^2)) , where r is the radius of the circular base and h is the height of the cone. if the lateral surface are of a large funnel is 236.64 square centimeters and its radius is 4.75 centimeters, find its height to the nearest hundredth of a centimeter. Click here to see answer by nyc_function(2733)

 Question 311304: What is the exact value of the trigonometric function: csc 11pi/4 Click here to see answer by fractalier(2101)

 Question 311217: What is the exact value of the function cos(11pi/4)? Click here to see answer by fractalier(2101)

 Question 311219: What is the exact value of the function sin (-150)? Click here to see answer by fractalier(2101)

 Question 311528: find the values of x for 2sinxcosx=1 where 0degree less than or equal to x less than or equal to 360degree Click here to see answer by Alan3354(30983)

 Question 311695: every time the pedals go through a 360 degree rotation on a certain bike, the tires rotate 3 times. if the tires are 24 inches in diameter, what is the minimum number of complete rotations of the pedals needed for the bike to travel atleast 1 mile? 1) 12 2) 281 3) 561 4) 5,280 Click here to see answer by mananth(12270)

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