SOLUTION: Verify the identity: sin(a-b)- sin (a+b) - sin^2 b - cos^2 a = (sin b -cos a)^2 I am not sure which formulas to use to verify this. I was thinking the sun and difference formula

Algebra.Com
Question 869068: Verify the identity: sin(a-b)- sin (a+b) - sin^2 b - cos^2 a = (sin b -cos a)^2
I am not sure which formulas to use to verify this. I was thinking the sun and difference formulas but it did not work out when i tried them.

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Yes, those are the only ones you can use.


So,


Then,



So now this can't equal the right hand side
Check the problem setup and make sure it's correct.

RELATED QUESTIONS

Verify this trigonometric identity... (answered by robertb)
Prove: sec(alpha + beta)=... (answered by lynnlo)
An important trigonometric identity is cos(a + b) = cos a cos b − sin a sin b,... (answered by Alan3354)
After transformations, the expression sin (A + B)sin (A - B) can be proved to be equal... (answered by ikleyn,math_tutor2020)
Simplify the lefthandside so that LHS=RHS 2/sin(b) = sin(b)/cos(b)-1 + sin(b)/cos(b)+1 (answered by greenestamps,solver91311,ikleyn)
verify the identity cos^2 B-sin^2 B=1-2sin^2... (answered by lwsshak3,w_parminder)
Use the information given below to find sin(Alpha + Beta). cos alpha = 4/5, with... (answered by Fombitz)
I have to verify the identity of... (answered by DrBeeee)