SOLUTION: If cotA=12/15 and 0 < A < pi/2, determine the exact value of the following. Sin (2A) cos(2A) sin(A/2) tan(A/2) cos(A/2) I only need one solved so I can find out the process of what
Algebra.Com
Question 829740: If cotA=12/15 and 0 < A < pi/2, determine the exact value of the following. Sin (2A) cos(2A) sin(A/2) tan(A/2) cos(A/2) I only need one solved so I can find out the process of what to do. My exam is tomorrow morning. Thanks in advance!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If cotA=12/15 and 0 < A < pi/2, determine the exact value of the following. Sin (2A) cos(2A) sin(A/2) tan(A/2) cos(A/2) I only need one solved
=========
Since cot(A) = x/y, x = 12 and y = 15 when A is in QI
-------
Then r = sqrt[12^2+15^2] = sqrt(369) = 19.21
-----
So, sin(A) = y/r = 15/19.21 ;
cos(A) = x/r = 12/19.21
tan(A) = y/x = 15/12 = 5/4
---------------------------------
Then sin(2A) = 2sin(A)cos(A) = 2(15/sqrt(369)(12/369) = 360/369
-----------------------
Cheers,
Stan H.
==========================
RELATED QUESTIONS
Find the exact values of sin 2a, cos 2a, and tan 2a.
tan a=2, pi < a <... (answered by lwsshak3)
given cos(2a)=-17/18 and 0<2a (answered by solver91311)
given that cos2a =2/5 and 0<2a<90, determine the exact values of sin a, cos a, tan a, csc (answered by Edwin McCravy)
find the exact values of sin 2a, cos 2a, and tan 2a when tan a = 2, π < a <... (answered by lwsshak3)
Find the exact value of each of the following under the given conditions:
{{{cotA=... (answered by lwsshak3)
7. Suppose sin a= -4/5 where 3pie/2 (answered by Alan3354)
find the exact value of cos 2A and sin 2A given sin A = 12/13, A is in quadrant... (answered by lwsshak3)
A is an angle in quadrant 2. TanA = -3/root5. Solve the following and rationalize the... (answered by ikleyn)
simplify the given expressions:
a)2 sin^2α − 1/sina + cosa
b) cos^2a -... (answered by greenestamps)