# Questions on Algebra: Trigonometry answered by real tutors!

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 Algebra: Trigonometry Solvers Lessons Answers archive Quiz In Depth

 Question 623862: sinӨ + cosӨ = √2 sin (90-Ө) find the value of tanӨ Click here to see answer by solver91311(16897)

 Question 623860: sinӨ + cosӨ = √2 sin(90-Ө) find the value of tanӨ Click here to see answer by lwsshak3(6522)

 Question 623872: Verify the following identity: Sin^4x + 2sin^2xcos^2x + cos^4x = 1 Click here to see answer by jsmallt9(3296)

 Question 623876: find the other five functions of acute angle A,given that cscA=4 over 3 Click here to see answer by jsmallt9(3296)

 Question 623927: two cars, a and b, start from the same point and the same time and travel along straight roads that form 60 degrees with each other. after two hours, car A has traveled 120 km and car B traveled 100 km. how far apart are the cars after two hours? Click here to see answer by jsmallt9(3296)

 Question 624078: The work W (in joules) done when lifting an object varies jointly with the mass m (in kilograms) of the object and the height h (in meters) that the object is lifted. The work done when a 120-kilogram object is lifted 1.8 meters is 2116.8 joules. How much work is done when lifting a 100-kilogram object 1.5 meters? I tried converting kilograms to newtons to see how they got 2116.8 and I got 1176.798 newtons, then I multiplied that by 1.8 and I got 2118.2364 Click here to see answer by Alan3354(30993)

 Question 624012: You need a total of 50 pounds of two types of ground beef costing \$1.25 and \$1.60 per pound, respectively. A model for the total cost y of the two types of beef is y = 1.25x + 1.60(50 - x) where x is the number of pounds of the less expensive ground beef. a) Find the inverse function of the cost function. What does each variable represent in the inverse function? b) Use the context of the problem to determine the domain of the inverse function. c) Determine the number of pounds of the less expensive ground beef purchased when the total cost is \$73 (I have tried A and B, A. (x-80)/-0.35=y x=total cost, y=number of pounds B.y=all real numbers) Click here to see answer by KMST(1874)

 Question 624113: Find all solutions to the equation: 6 cos t sin t=6 sin t t=?, when n is any integer Simplify your answer. Type and exact answer, using pi as needed. Use integers or fractions for any numbers in the expression. Click here to see answer by solver91311(16897)

 Question 624237: I am confused on how to figure out the Sine of an Angle if you are given the tan of 1.936 also on how to figure out the tan of an Angle if you are given the sec of 1.3698. find sine, if given the tan of 1.936 Find tan, if given the sec of 1.3698 If someone could explain how to do that I would greatly appreciate it. Thank you Click here to see answer by ewatrrr(10682)
 Question 624237: I am confused on how to figure out the Sine of an Angle if you are given the tan of 1.936 also on how to figure out the tan of an Angle if you are given the sec of 1.3698. find sine, if given the tan of 1.936 Find tan, if given the sec of 1.3698 If someone could explain how to do that I would greatly appreciate it. Thank you Click here to see answer by Alan3354(30993)

 Question 624319: If I have sec of an angle - how do I find the tangent? Example: given sec of angle = 1.3698, find tan? Thank you in advance Click here to see answer by ewatrrr(10682)

 Question 624321: 1)Find the value of t and determine the quadrant cos t= -4/5 2)If the terminal point is (12/13, -5/13) find sin t, cos t, and tan t. 3)use the fundamental identities to write tan^2x secx in terms of cosx. 4) find the exact value of the expression. sin(pi/6) * cos(pi/3) + sin (pi/3) * cos (pi/3). 5) find the reference number for t and the terminal point t=4pi/3. Click here to see answer by solver91311(16897)

 Question 624333: A straight 120ft culvert is built down a hillside that makes an angle of 54.0 degrees with the horizontal. Find the height of the hill? help would be greatly appreciated. Thank you Click here to see answer by jsmallt9(3296)

 Question 624357: A rectangular piece of of plywood 4.00ft by 8.00ft is cut from one corner to an opposite corner. what are the angles between edges of the resulting piece? Click here to see answer by jsmallt9(3296)

 Question 624353: In the design of a new building., a doorway is 2.65 ft above the ground. A ramp for the disabled, at an angle of 6.0 degrees with the ground, is to be built to the doorway. How long will the ramp be? Thank you in advance Click here to see answer by jsmallt9(3296)

 Question 624191: What is the graph of one cycle of a sine curve with the given characteristics? y = sin 3q Click here to see answer by lwsshak3(6522)

 Question 624031: graph 2 cos (1/16x+1) Also find Amp,Per.Phase Shift. Click here to see answer by lwsshak3(6522)

 Question 624459: A bullet was fired such that it just grazed the top of the table. It entered a wall, which was 12.60 ft from the graze point in the table, at a point 4.63ft above the tabletop. At what angle was the bullet fired above the horizontal? Thank you Click here to see answer by nerdybill(6963)

 Question 624548: Compare the formulas for tan(A – B) and tan(A + B). How are they alike? How are they different? I know the formulas themselves and I can see the basic differences but I am not sure how to go further with it. Thanks! Click here to see answer by solver91311(16897)

 Question 624573: My teacher just started doing this with me can someone help me out. A rectangle has an area of 240 {cm}^2 and a perimeter of 64 cm. What are its dimensions? Need to find the length and the with Click here to see answer by solver91311(16897)
 Question 624573: My teacher just started doing this with me can someone help me out. A rectangle has an area of 240 {cm}^2 and a perimeter of 64 cm. What are its dimensions? Need to find the length and the with Click here to see answer by ewatrrr(10682)
 Question 624573: My teacher just started doing this with me can someone help me out. A rectangle has an area of 240 {cm}^2 and a perimeter of 64 cm. What are its dimensions? Need to find the length and the with Click here to see answer by lwsshak3(6522)

 Question 624646: what expression is equivlent to cot t sec t Click here to see answer by lwsshak3(6522)

 Question 624647: which function has a phase shift of p/2 to the right Click here to see answer by Edwin McCravy(8912)

 Question 624826: Find the exact value of Sin(Tan-1 7/24) Cos-1(Cos 4Pi/3) Click here to see answer by jsmallt9(3296)

 Question 624924: If cotangent of theta is -7/4, what is the sine of theta and secant of theta? Click here to see answer by lwsshak3(6522)

 Question 624950: 18. If cos= 2 to the square root of 10/7 calculate the value of sin. a. 3/7 b. square root of 29/7 c. square root of 69/7 d. square root of 89/7 Click here to see answer by Alan3354(30993)
 Question 624950: 18. If cos= 2 to the square root of 10/7 calculate the value of sin. a. 3/7 b. square root of 29/7 c. square root of 69/7 d. square root of 89/7 Click here to see answer by jsmallt9(3296)

 Question 624957: Verify the trig identity: sin^4(x)+cos^4 (x)=3/4 + 1/4 cos(4x). Click here to see answer by jsmallt9(3296)

 Question 624976: let me re-write the question which two tutors could not understand because of the student not using a proper notation, even it was more or less obvious what he meant: Question 624950: If cos= 2 to the square root of 10/7 calculate the value of sin. Should be posted this way: If cos = (2 x sq.root(10))/7 calculate the value of sin. (answer is a.) a. 3/7 b. square root of 29/7 c. square root of 69/7 d. square root of 89/7 Found 2 solutions by Alan3354, jsmallt9: Click here to see answer by Alan3354(30993)
 Question 624976: let me re-write the question which two tutors could not understand because of the student not using a proper notation, even it was more or less obvious what he meant: Question 624950: If cos= 2 to the square root of 10/7 calculate the value of sin. Should be posted this way: If cos = (2 x sq.root(10))/7 calculate the value of sin. (answer is a.) a. 3/7 b. square root of 29/7 c. square root of 69/7 d. square root of 89/7 Found 2 solutions by Alan3354, jsmallt9: Click here to see answer by MathTherapy(1427)

 Question 625045: Find the angle of elevation from the point on the ground 90 feet from the base of a building that is 200 feet tall Click here to see answer by jsmallt9(3296)

 Question 625026: 2 + cos135 degrees divided by cos^2 240 degrees Click here to see answer by jsmallt9(3296)

 Question 624980: Question 624957: Verify the trig identity: sin^4(x)+cos^4 (x)=3/4 + 1/4 cos(4x). How about this solution (different and faster than from jsmallt9): sin^4(x)+cos^4(x) = ((sin^2(x) + cos^2(x)))^2 - 2sin^2(x)cos^2(x) = 1 - 2sin^2(x)cos^2(x) = 1 - (1/2)sin^2(2x) = 1 - (1 - cos(4x))/4 = 1 - 1/4 + cos(4x)/4 = 3/4 + cos(4x)/4 Done Click here to see answer by jsmallt9(3296)

 Question 625201: what are the values of theta in the interval 0 degrees less than or equal to theta less than 360 degrees that satisfy the equation tan theta negative radical three equals 0? Click here to see answer by jsmallt9(3296)

 Question 625126: I need help with this question 'if x=root of 3-2/root of 3+2,y=root of 3+2/root of 3-2.find the value of square of x - square of y' Click here to see answer by jsmallt9(3296)