SOLUTION: simplify the given equation
suppose that sec(a)=5/4 and tab(b)=-1, where 0<a<pi/2<b<pi. find cos(a+b)
Algebra.Com
Question 1163202: simplify the given equation
suppose that sec(a)=5/4 and tab(b)=-1, where 0
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
sec(a) = 5/4 and a in quadrant I means cos(a) = 4/5 and sin(a) = 3/5. Note this means angle a is a bit less than 45 degrees.
tan(b) = -1 and b in quadrant II means sin(b) = sqrt(2)/2 and cos(b) = -sqrt(2)/2. This angle is clearly 135 degrees.
Before we do actual calculations, note that the angle a+b is going to be a bit less than 180 degrees, which means cos(a+b) should be close to cos(180) = -1.
To 5 decimal places that is -.98995, which is indeed very close to -1.
RELATED QUESTIONS
simplify the given equation
suppose that sin(a)=4/5 and sin(b)=1/2, where pi/2 (answered by Alan3354)
evaluate the expression given that sina=-4/5with pi (answered by lwsshak3)
Find ALL REAL solutions to the following equation:
{{{0=cos(9/2)pi+5x}}}
A)... (answered by MathLover1)
Find the exact value under the given conditions.
cos a = 1/3 , 0 < a < pi/2. sin b=... (answered by lwsshak3)
Given cos(a) = 1/2, tan(b) = -3/2, 0 < a < ((pi)/2), and ((pi)/2) < b < pi, find... (answered by Solver92311)
Find all solutions in the interval [0,2PI] to the equation {{{cos^(2)(x=1)}}}.
a. x = 0, (answered by jim_thompson5910,ffc_01)
Given that sin A= -4/5 where A is in quadrant 3 and sin B= 12/13 where B is in quadrant... (answered by lwsshak3)
Find the following values without using a calculator:
a. {{{ sin ( -7 pi / 6 ) }}}
b.... (answered by solver91311)
Find the exact value of each of the following under the given conditions:
{{{cotA=... (answered by lwsshak3)