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 )
Coming To Grips With Mathematics : How does a child acquire mathematical concepts? Can any concept be presented to a child at any stage in such a manner that the child gets some
Arc Length with Polar Coordinates Here we need to move into the applications of integrals and how we do them in terms of polar coordinates. In this part we will look at the a
a man buy car at rs.50 and sells it at gain of 14% find the sp
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
lim(x->0) xln²(xln(x))
sin (cot -1 {cos (tan -1 x)}) tan -1 x = A => tan A =x sec A = √(1+x 2 ) ==> cos A = 1/√(1+x 2 ) so A = cos -1 (1/√(1+x 2 )) sin (cot -1 {cos (tan -1 x)}) = s
AUXILIARY METHODS There are other reprographic methods which although commonly used earlier, are now mainly used for specific purposes. We think you should be aware of these me
is it true or false that all whole numbers are rational numbers
If α & ß are the zeroes of the polynomial 2x 2 - 4x + 5, then find the value of a.α 2 + ß 2 b. 1/ α + 1/ ß c. (α - ß) 2 d. 1/α 2 + 1/ß 2 e. α 3 + ß 3 (Ans:-1, 4/5 ,-6,
how to find x,y and z in parallelograms,rhombus etc.
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