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Prove the identity: cos^4(x)-sin^4(x)=1-2sin^2(x).with explanation

  1. Prove the identity: cos^4(x)-sin^4(x)=1-2sin^2(x).with explanationim confused on this one cause of the 4th power of the sine.
  2. prove the following identitycos^4X - sin^4X = 1-2sin^2X
  3. pls. help:prove the identity sin2x+sin2y=2sin(x+y)cos(x-y)
  4. Prove the following identity:-(i) tan^3x/1+tan^2x + cot^3x/1+cot^2 = 1-2sin^x cos^x/sinx cosx
  5. Prove that each equation is an identity.I tried to do the problems, but I am stuck. 1. cos^4 t-sin^4 t=1-2sin^2 t 2. 1/cos s=
  6. Prove the identity. (must work with left side)(1-2sin(x)^2)=(cos(x)^2)
  7. Prove each identity:a) 1-cos^2x=tan^2xcos^2x b) cos^2x + 2sin^2x-1 = sin^2x I also tried a question on my own: tan^2x = (1 –
  8. I don't understand,please be clear!Prove that each equation is an identity. I tried to do the problems, but I am stuck. 1. cos^4
  9. Prove:sin2x / 1 - cos2x = cotx My Attempt: LS: = 2sinxcosx / - 1 - (1 - 2sin^2x) = 2sinxcosx / - 1 + 2sin^2x = cosx / sinx - 1 =
  10. Prove that:sin(x+2y)+sin(y+2z)+sin(z+2x)=4sin(x-y)/2sin(y-z)/2sin(z-x)2