6.2.1 A point in the first quadrant has coordinate equal to 3 and lies a distanc
ID: 2911834 • Letter: 6
Question
6.2.1 A point in the first quadrant has coordinate equal to 3 and lies a distance of 8 units from the origin. What is its y coordinate? 6.2.2 A point in the third quadrant has y coordinate equal to -2 and lies a distance of 3 units from the origin. What is its r coordinate? 6.2.3 Show that tan' (z) _ sin2 (z) tan° (x) sin2 (z) 6.2.4 Show that cot (2x) 1-tan2() 2 tan ( ) 6.2.5 The line L intersects the point (2,5) and makes a 60 angle with the r-axis. What is the equation for the line L? 6.2.6 Calculate the sine, cosine, and tangent of the following angles (a) 15o, (b) 22.5°, (c) 7.5, (d) 3.25°, (e) 142.5°. 6.2.7 What is the domain of the function tan and the function csc? Write the function tan(0) in terms of the function csc(0) where both are defined in quadrants I, II, III, and IV. It will help to recall the Pythagorean Identities.Explanation / Answer
6.2.1 . x2+y2=d2
9+y2=64
y2=55
y=55
y coordinate =55
6.2.2. x2+4=9
x2=5
x=5
6.2.3. tan2x -sin2x =sin2x(sec2x-1)=sin2x tan2x
6.2.4. cot(2x)=1/tan(2x)=1/(2tanx/1-tan2x))=(1-tan2x)/2tan x
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.