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Find the coordinate of axes of a point when the direction of axes is turned through an angle y, where the origin remains the same.

Find the coordinate of axes of a point when the direction of axes is turned through an angle y, where the origin remains the same.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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please solve these problem, I can't understand.

Find the coordinate of axes of a point when the direction of axes is turned through an angle y, where the origin remains the same. If two straight lines represented by the equation x (tan?p + cos'p) - 2xy tang + y'sin?p = 0, makes angle Band & with the axis of x, then show that tanß- tand =2 Find the equation of circles which touches the x axis at -4 unit distance and çurt off chord 6 units from y-axis. A line makes angle a, ß,y, 8 with the four diagonals of a cube, then prove that sin'a + sin ß + stn*y + sin²8 = ; Define direction cosines and direction ratios of a line. If the direction ratio of a line is a,b,c then show that the direction cosines be +d Va+o*tc ta Va +b+c Find the volume of the tetrahedron formed by four planes x +y = 0,y + z = 0,2 +x = 0, x + y+z = 1
Transcribed Image Text:Find the coordinate of axes of a point when the direction of axes is turned through an angle y, where the origin remains the same. If two straight lines represented by the equation x (tan?p + cos'p) - 2xy tang + y'sin?p = 0, makes angle Band & with the axis of x, then show that tanß- tand =2 Find the equation of circles which touches the x axis at -4 unit distance and çurt off chord 6 units from y-axis. A line makes angle a, ß,y, 8 with the four diagonals of a cube, then prove that sin'a + sin ß + stn*y + sin²8 = ; Define direction cosines and direction ratios of a line. If the direction ratio of a line is a,b,c then show that the direction cosines be +d Va+o*tc ta Va +b+c Find the volume of the tetrahedron formed by four planes x +y = 0,y + z = 0,2 +x = 0, x + y+z = 1
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