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 )
y'-5y=0
Question: a. What is the inverse of f (x)? b. Graph the inverse function from part (a). c. Rewrite the inverse function from part (a) in exponential form. d. Evaluate
1.)3 3/8 divided by 4 7/8 plus 3 2.)4 1/2 minus 3/4 divided by 2 3/8
Two tanks initially contain 100 liter liquid each. Their initial concentration are listed in the Figure below. At time zero, the input and output valves are opened simultaneously w
similar triangles diagram
Don't count the number of divisions. Do not use asymptotic notation, instead provide exact answers. (i) What is the maximum number of multiplications required to solve a system
From the data given below calculate the value of first and third quartiles, second and ninth deciles and forty-fifth and fifty-seventh percentiles.
example #Minimum 100 words accepted#
hi how are you
a business is owned by three people.the first owns 1/12 of the business and the second owns 1/6 of the business. what fractional part of the business is owned by the third person
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