Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Evaluate following sin 2 ?/3 and sin (-2 ?/3)
Solution: The first evaluation in this part uses the angle 2 ?/3. It is not on our unit circle above, though notice that 2 ?/3= ? - ?/3 . thus 2 ?/3 is found through rotating up from the -ve x-axis.
It means that the line for 2 ?/3 will be a mirror image of the line for ?/3 only within the second quadrant. The coordinates for 2 ?/3 will be the coordinates for ?/3 except the x coordinate will be negative.
Similarly for - 2 ?/3 we can notice that - 2 ?/3 = - ?+ ?/3 , hence this angle can be found by rotating down ?/3 from the -ve x-axis. It means that the line for ?/3 will be a mirror image of- 2 ?/3 the line for ?/3 only in the third quadrant and the coordinates will be the same as the coordinates for ?/3 except both will be negative.
Both of these angles along with their coordinates are illustrated on the following unit circle.
From this unit circle we can see that sin ( 2 ?/3 ) =√3/2 and sin ( -2 ?/3 )=√3/2
It leads to a nice fact regarding the sine function. The sine function is known an odd function and hence for any angle we have
sin ( - θ ) = - sin (θ )
Mary made 34 copies at the local office supply store. The copies cost $0.06 each. What was the total cost of the copies? Multiply 34 by $0.06 to ?nd out the total cost; 34 × $0
what is the ratio of sides of a right angle triangle which are in A.P
1. Four different written driving tests are administered by a city. One of these tests is selected at random for each applicant for a drivers license. If a group of 2 women and 4 m
If the distances from origin of the centres of 3 circles x 2 +y 2 +2alphaix= a 2 (i=1,2,3) are in G.P. , then length of the tangents drawn to them frm any point on the circles x2+
A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 317317 people over the age of? 55, 7777 dream in black and? whi
can anyone explain me the concept of quadratic equation?
Verify Liouville''s formula for y "-y" - y'' + y = 0 in (0, 1) ?
Tom is cutting a piece of wood to form a shelf. He cut the wood to 3.5 feet, but it is too long to fit in the bookshelf he is forming. He decides to cut 0.25 feet off the board. Ho
How to solve big unitary sums?
1. A survey line on campus is measured to be 1000.00 ft long on horizontal ground. The elevation of the line is 700.00 feet and the geoid separation from ellipsoid to geoid is -110
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd