Sin square thitha plus cos four thitha is equal to sin four thitha plus cos square thitha prove that

Sin square thitha plus cos four thitha is equal to sin four thitha plu

1.	Sin square thitha plus cos four thitha is equal to sin four thitha plus cos square thitha prove that
Answer» {tex}\\begin{array}{l}\\sin^4\\theta-\\cos^4\\theta\\\\=(\\sin^2\\theta+\\cos^2\\theta)((\\sin^2\\theta-\\cos^2\\theta)\\\\\\sin^4\\theta-\\cos^4\\theta=\\sin^2\\theta-\\cos^2\\theta\\\\or\\;\\;\\sin^4\\theta+\\cos^2\\theta=\\cos^4\\theta+\\sin^2\\theta\\\\or\\;\\sin^2\\theta+\\cos^4\\theta=\\;\\sin^4\\theta+\\cos^2\\theta\\end{array}{/tex}Hence proved