# Questions on Algebra: Trigonometry answered by real tutors!

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 Algebra: Trigonometry Solvers Lessons Answers archive Quiz In Depth

 Question 181712: Right triangle - If the measure of angle B is 35degrees, and b=11, then c(the hypotenuse) =? I know that angle A = 55degrees, angle B=35degrees, and angle C=90 degrees, but I am missing sides a and c. The side I need to solve for is c. Thanks in advance for your help. Click here to see answer by edjones(7569)

 Question 181996: sin(A+B) = sin A cos B + cos A sin B cos(A+B) = cos A cos B - sin A sin B a) obtain an expression for cos 2x in terms of sin^2 x. b) obtain an expression for sin 2x in terms of sin x and cos x. c) show that cos 4x = 1 - 8sin^2 x + 8sin^4 x. d) solve, for 0≤x≤π/2, the equation sin^2 x - sin^4 x = 0.1, giving your solutions to 2 decimal places. e) find ∫(sin^4 x – sin^2 x + 2 cosx)dx. upper limit is π/2. lower limit is 0. Click here to see answer by vleith(2825)

 Question 181993: Ok so i have this problem which using methods my dad suggested can not be solved, there is a test this Tuesday and i need a method that makes sense, please help me. Using Pythagerus's Theorum (if that's how you spell it) A squared + B squared = C squared, if A = 12, B = x and C = 2x, what is the value of x? Click here to see answer by Fombitz(13828)

 Question 182085: I am working with a non-right triangle with Angle A and Angle B unknown. Angle C measures 36.5 degrees. Side a=13, b=?, c=7.8. The question states that sin(36.5)=0.5948, and cos(36.5)=0.8039. I am having trouble figuring out how to calculate sin A. Can someone out there please help me??? I have tried using the law of cosines but I ran into a dead end quickly on that try. Thank you for any help that you can provide!! Click here to see answer by stanbon(57250)

 Question 182252: Point Q is located on the terminal side of angle 0 with a dash through it and has coordinates (-8,6). Find the exact value of the six trigonometric functions for 0 with a dash through it. I have figured it out to be sin=6/10, cos=-8/10, tan=-6/8, csc=10/6, sec=-10/8, cot=-8/10. My questions are am I correct, and should they be in simplest form? Click here to see answer by stanbon(57250)

 Question 182421: A car's rear windshield wiper rotates 120 degree's, find the area covered by the wiper. the wiperblade length is 25 and the width of the covered area is 14. Click here to see answer by stanbon(57250)
 Question 182421: A car's rear windshield wiper rotates 120 degree's, find the area covered by the wiper. the wiperblade length is 25 and the width of the covered area is 14. Click here to see answer by solver91311(16870)

 Question 180645: The equation secA =x is equivalent to the equation. A=cos x A=1/cos x A=1/sec x A= sec^-1x Click here to see answer by rapaljer(4667)

 Question 182919: 2. Simplify the algebraic expression 7x2 - 4y + 3x2 + 5y + 2 and evaluate it for x = 3, y = 9. Identify the variables, constants, and coefficients in the simplified expression. Click here to see answer by solver91311(16870)

 Question 183058: Divide using polynomial long division (3x^3+4x^2+11x+1) divided by (x^2+x) Click here to see answer by josmiceli(9661)

 Question 183068: Find all solutions to the equation. Use a lower-case n to denote an arbitrary integer; separate your answers with commas; use the most compact expressions possible. (cos(x) - 1) sin(x) = 0 Any help is greatly appreciated! I am really struggling just to start these problems. I received 0 + 2Pi as an answer for this but the system said it was wrong. Click here to see answer by stanbon(57250)
 Question 183068: Find all solutions to the equation. Use a lower-case n to denote an arbitrary integer; separate your answers with commas; use the most compact expressions possible. (cos(x) - 1) sin(x) = 0 Any help is greatly appreciated! I am really struggling just to start these problems. I received 0 + 2Pi as an answer for this but the system said it was wrong. Click here to see answer by user_dude2008(1861)

 Question 183065: Find all solutions to the equation. Use a lower-case n to denote an arbitrary integer; separate your answers with commas; use the most compact expressions possible. sin(4x - Pi/3) = sqrt(3)/2 Any help is greatly appreciated! I am really struggling just to get these problems started. The answer I received for this one is 2Pi/3 + 3+Pi*n but the system said that answer was wrong. Click here to see answer by stanbon(57250)

 Question 183067: Find all solutions to the equation. Use a lowercase n to denote an arbitrary integer; separate your answers with commas; use the most compact expressions possible. -sqrt(3) + 2 sin (x) = 0 Any help is greatly appreciated! I am really struggling just to start these problems. I received 4Pi/3 + n*Pi as an answer but the system said it was wrong. Click here to see answer by stanbon(57250)

 Question 183063: Find all solutions to the equation. Use a lower-case n to denote an arbitrary integer; separate your answers with commas; use the most compact expressions possible. -4cos(4x) + 2 = 0 Any help is greatly appreciated! I am really struggling just to get these problems started Click here to see answer by Alan3354(30983)

 Question 183064: Find all solutions to the equation. Use a lower-case n to denote an arbitrary integer; separate your answers with commas; use the most compact expressions possible. -sqrt(3)tan(3x) = -1 Any help is greatly appreciated! I am really struggling just to get these problems started. Click here to see answer by Alan3354(30983)

 Question 183066: Find all solutions to the equation. Use a lower-case n to denote an arbitrary integer; separate your answers with commas; use the most compact expressions possible. cot(x) + sqrt(3)/3 = 0 Any help is greatly appreciated! I am really struggling just to start these problems Click here to see answer by Alan3354(30983)

 Question 179233: Can someone please help me with this??? The blade of a saber saw moves vertically up and down at 18 strokes per second. The vertical displacement y (in cm) is given by y=1.2 sin 36 pi t, where t is in seconds. SKETCH at least two cycles of the graph of y vs. t. Click here to see answer by Alan3354(30983)

 Question 183369: Find the solutions of the equation that are in the interval [0, 2*Pi); separate your answers with commas. - 2cos 2(x)+ cos(x)+ 1 = 0; I already found 2Pi/3 and 4Pi/3 as answers and they came up correct but the system says there are more. I am having trouble finding the others. Any help would be greatly appreciated. Click here to see answer by jim_thompson5910(28504)

 Question 183554: helloo, I am taking a work at your own pace class and do not have a text book, we get booklets premade by someone. here is my question, we are in trig right now A 3.6m tall person casts a shadow 7.25m long. At the same time of day a tree casts a shadow 67.2m long. How tall is the tree? Thank you Click here to see answer by user_dude2008(1861)

 Question 184019: the angle of depression from the top of a tall building to the top of a shorter building is 15. the angle od depression to the base of the shorter building is 38. if the shorter building is 170feet tall, what is the distance between the two buildings. Click here to see answer by Edwin McCravy(8882)

 Question 184041: Solve 8sin0(with a line through it)+4=0, where 0(with a line through it) is any real number of radians. I worked it out to 0(with a line through it)= 7pi/6+ 2(pi)n and 11pi/6+2(pi)n. Am I correct? Click here to see answer by solver91311(16870)

 Question 184174: Respected Sir, I am really amazed to see such a wonderful work on net, which becomes a very useful guide for the students. I am having some problem with the subject 'Trigonometry'. Here are the question. 1) sec^2@-sin^2@.sec^2@=1 2) (1+2sin^2@)/(1+3tan^2@)=cos^2@ I hope for a quick reply Click here to see answer by ptaylor(2048)

 Question 184218: verify the identity (1-sinx)-------(cosx) _______ = ______ (sinxcotx)-----(1+sinx) Click here to see answer by Alan3354(30983)

 Question 184312: In a 30 60 90 right triangle where y square roots of 3 is 9 and 2y is x, find y? Help. where do I start? Click here to see answer by Alan3354(30983)

 Question 184651: how do u solve 2 log3 (x+4)- log3 9=2 Click here to see answer by stanbon(57250)

 Question 184755: Help me pleaseOn a forward somersault Pats height is y meters above the water x seconds after she leaves the diving board, where y= -5(x-6)^2 + 3.8. Pats maximum height above water is Click here to see answer by stanbon(57250)

 Question 184753: State the vertical shift and the equation of the midline for y=cos(theta)-1 Click here to see answer by stanbon(57250)

 Question 184561: If one side of a square is increased by 8 cm and an adjacent side decreased by 2 cm, a rectangle is formed whose perimeter is 40 cm. Find the length of a side of the square Click here to see answer by J2R2R(94)

 Question 185272: please help. i have a test tomorrow. 1. A tower that is 65 m high makes an obtuse angle with the ground. The vertical distance from the top of the tower to the ground is 59 m. What obtuse angle does the tower make with the ground, to the nearest hundredth of a radian? thank you very much Click here to see answer by feliz1965(151)

 Question 185261: I'm very confused! Please help! The Equations I know are: Theta = arch length/radius Angular velocity = theta/time 1. A tower that is 65 m high makes an obtuse angle with the ground. The vertical distance from the top of the tower to the ground is 59 m. What obtuse angle does the tower make with the ground, to the nearest hundredth of a radian? Click here to see answer by feliz1965(151)

 Question 185355: Find one angle with positive measure and one angle with negative measure coterminal with -310°. Click here to see answer by feliz1965(151)