SOLUTION: Cos(60-A)+sin(30-A)/cos(30-A) -sin(60-A)=cotA

Algebra.Com
Question 1042004: Cos(60-A)+sin(30-A)/cos(30-A) -sin(60-A)=cotA
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!


Work with the left side:

Use cos(a-b) = cos(a)cos(b) + sin(a)sin(b)
and sin(a-b) = sin(a)cos(b) - cos(a)sin(b)



Remove parentheses.  Be careful to make sign change on 
last term of denominator.



Use the fact that  and 










  Use 



Edwin
RELATED QUESTIONS

Cos(30-A)-cos(30+A)=Sin... (answered by ikleyn)
Cos (30-A)-cos (30+A)=Sin... (answered by ikleyn)
if A=60 and B=30, find the value of (sin A cos B +cos A sin B) the whole square + (cos A... (answered by mananth)
sin((x)+60)-cos((x)+30) (answered by Tatiana_Stebko)
which equation is true ? A) sin 30 degrees=sin 60 degrees B) sin 45 degrees = cos 45... (answered by Alan3354)
Given sin 30°= 1/2, use trigonometric identities to find the exact value of: A: cos 60° (answered by Edwin McCravy)
Use an addition or subtraction formula to write the expression as a trigonometric... (answered by robertb)
Use an addition or subtraction formula to write the expression as a trigonometric... (answered by stanbon)
Calculate: A) Tan^2 225degrees-sin 60 degrees cos 30 degrees ( don't understand... (answered by Alan3354,ikleyn)